GATE PH 2012 • Q21 MCQ • 1 Mark

Section 4: Quantum Mechanics

Quantum Mechanics

Subtopic: Wave Mechanics, Operators & Perturbation Theory

Question Statement:

Deuteron has only one bound state with spin parity 1 +, isospin 0 and electric quadrupole moment 0.286 efm2. These data suggest that the nuclear forces are having

Options:

  • (A) Tj ET Q q 87.864 295.01 452.11 26.4 re W* n BT /TT2 6.96 Tf -0.0149 Tc 388.03 309.89 Td (ij)Tj ET Q q 87.864 295.01 452.11 26.4 re W* n BT 391.87 311.45 Td ( )Tj ET Q q 87.864 295.01 452.11 26.4 re W* n BT 394.63 311.45 Td [(w)5 (i)5.996 (t)-3.995 (h )10.996 (i)-3.995 (nd)10.996 (i)-4.004 (ce)8.007 (s )]TJ ET Q q 87.864 295.01 452.11 26.4 re W* n BT /TT2 11.04 Tf 450.82 311.45 Td (i)Tj ET Q q 87.864 295.01 452.11 26.4 re W* n BT 453.94 311.45 Td (, )Tj ET Q q 87.864 295.01 452.11 26.4 re W* n BT /TT2 11.04 Tf 459.34 311.45 Td (j)Tj ET Q q 87.864 295.01 452.11 26.4 re W* n BT 462.46 311.45 Td ( )Tj ET Q q 87.864 295.01 452.11 26.4 re W* n BT 465.22 311.45 Td [(= 1, 2)10 (, 3)]TJ ET Q q 87.864 295.01 452.11 26.4 re W* n BT /TT2 11.04 Tf 501.7 311.45 Td ( )Tj ET Q q 87.864 295.01 452.11 26.4 re W* n BT -0.0691 Tc 504.46 311.45 Td (is)Tj ET Q q 87.864 295.01 452.11 26.4 re W* n BT /TT2 11.04 Tf 511.78 311.45 Td ( )Tj ET Q q 87.864 295.01 452.11 26.4 re W* n BT 514.42 311.45 Td ( )Tj ET Q q 87.864 295.01 452.11 26.4 re W* n BT /TT0 12 Tf 93.624 298.01 Td ( )Tj ET Q q 87.864 295.01 452.11 26.4 re W* n BT 96.624 298.01 Td ( )Tj ET Q Q q 87.864 274.01 106.22 13.8 re W* n q 87.864 274.01 106.22 13.8 re W* n BT /TT0 12 Tf 93.264 277.01 Td [(\(A)5 (\) 1)]TJ ET Q q 87.864 274.01 106.22 13.8 re W* n BT 118.94 277.01 Td ( )Tj ET Q Q q 194.09 274.01 106.32 13.8 re W* n q 194.09 274.01 106.32 13.8 re W* n BT /TT0 12 Tf 199.49 277.01 Td [(\(B)10 (\) 3)]TJ ET Q q 194.09 274.01 106.32 13.8 re W* n BT 224.45 277.01 Td ( )Tj ET Q Q q 300.41 274.01 104.9 13.8 re W* n q 300.41 274.01 104.9 13.8 re W* n BT /TT0 12 Tf 305.69 277.01 Td (\(C\) 6)Tj ET Q q 300.41 274.01 104.9 13.8 re W* n BT 330.67 277.01 Td ( )Tj ET Q Q q 405.31 274.01 134.66 13.8 re W* n q 405.31 274.01 134.66 13.8 re W* n BT /TT0 12 Tf 410.71 277.01 Td [(\(D)5 (\) 9)]TJ ET Q q 405.31 274.01 134.66 13.8 re W* n BT 436.39 277.01 Td ( )Tj ET Q Q BT /TT0 12 Tf 53.88 266.45 Td ( )Tj /TT0 11.04 Tf 1 0 0 1 56.88 266.45 Tm ( )Tj /TT0 12 Tf -3 -9.72 Td ( )Tj /TT0 11.04 Tf 1 0 0 1 56.88 256.73 Tm ( )Tj /TT3 12.96 Tf -3 -20.16 Td [(Q)-1.628 (. 26 to Q)-8.002 (. 55 car)-8.997 (ry)-9.005 ( tw)-8.997 (o m)8.997 (arks)-8.002 ( each.)-16.96 ( )]TJ ET q 53.88 99.024 33.984 122.66 re W* n q 53.88 99.024 33.984 122.66 re W* n BT /TT0 11.04 Tf 59.28 201.74 Td [(Q)5 (.26)]TJ ET Q q 53.88 99.024 33.984 122.66 re W* n BT /TT1 11.04 Tf 81.024 201.74 Td ( )Tj ET Q q 53.88 99.024 33.984 122.66 re W* n BT /TT0 11.04 Tf 95.304 201.74 Td ( )Tj ET Q q 53.88 99.024 33.984 122.66 re W* n BT /TT0 11.04 Tf 98.064 201.74 Td ( )Tj ET Q Q q 87.864 134.3 452.11 87.384 re W* n q 87.864 134.3 452.11 87.384 re W* n BT /TT0 11.04 Tf 93.624 200.66 Td [(C)4.004 (onsi)-6.005 (d)11.005 (er)-5 ( )-21.005 (a )-22.002 (sy)9.004 (st)4.004 (em)15 ( )-21.005 (i)-3.995 (n )-21.005 (t)-3.995 (he )-22.002 (u)10.996 (nper)5 (t)-3.995 (ur)-3.007 (b)11.005 (ed )-22.002 (s)9.004 (t)-4.004 (a)9.004 (t)-4.004 (e )-22.002 (de)9.004 (sc)-2.998 (r)6.993 (i)-3.995 (bed )-12.002 (by)10.996 ( )-20.996 (t)-4.004 (he )-21.993 (H)5 (am)15 (i)-4.004 (l)-4.004 (t)-3.995 (oni)5.996 (an,)]TJ ET Q q 0.82361 0 0 0.5 418.61 185.68 cm /TT3 12.96 Tf 0 TL/Fm9 Do Q q 87.864 134.3 452.11 87.384 re W* n BT /TT0 11.04 Tf 477.94 200.66 Td [(. )-20.996 (T)-8.007 (he )-11.993 (s)8.995 (y)11.005 (st)-6.005 (em)15 ( )]TJ ET Q q 87.864 134.3 452.11 87.384 re W* n BT /TT0 11.04 Tf 93.624 164.66 Td [(i)-4.004 (s )-87.998 (sub)9.004 (j)-4.004 (e)9.004 (ct)-5 (e)8.995 (d )-85.996 (t)-4.004 (o )-85.996 (a )-87.998 (p)10.996 (er)5 (t)-3.995 (ur)6.993 (bat)5 (i)6.005 (on )-86.005 (of)-2.998 ( )-85.996 (t)-4.004 (h)11.005 (e )-88.007 (f)-2.998 (o)11.005 (r)-3.007 (m)17.002 ( )]TJ ET Q q 0.80208 0 0 0.5 283.61 149.68 cm /TT3 12.96 Tf 0 TL/Fm10 Do Q q 87.864 134.3 452.11 87.384 re W* n BT /TT0 11.04 Tf 341.35 164.66 Td [(, )-85.996 (w)5 (her)-5 (e )]TJ ET Q q 0.41667 0 0 0.18055 378.41 161.68 cm /TT3 12.96 Tf 0 TL/Fm11 Do Q q 87.864 134.3 452.11 87.384 re W* n BT /TT0 11.04 Tf 408.43 164.66 Td [(. )-85.996 (The )-85 (e)]TJ ET Q q 87.864 134.3 452.11 87.384 re W* n BT /TT0 11.04 Tf 440.71 164.66 Td [(ne)9.004 (r)-3.007 (g)11.005 (y)10.996 ( )-85.996 (ei)-5 (g)10.996 (env)9.004 (al)-5 (ues)-2.998 ( )-86.005 (of)7.002 ( )]TJ ET Q q 87.864 134.3 452.11 87.384 re W* n BT /TT0 11.04 Tf 93.624 139.7 Td [(t)-4.004 (he p)9.004 (er)5 (t)-4.004 (ur)-2.998 (b)11.005 (ed s)-3.007 (y)11.005 (st)3.995 (em)15 ( usi)-5.996 (ng)10.996 ( t)-3.995 (he )8.995 (f)-2.998 (i)6.005 (r)-3.007 (st)-5.996 ( )10.996 (or)-2.998 (d)11.005 (er)-5 ( p)10.996 (er)5 (t)-4.004 (ur)-2.998 (b)11.005 (at)5 (i)-4.004 (on )10.996 (appr)-5 (ox)11.005 (i)-4.004 (m)17.002 (at)-5 (i)-4.004 (on )11.005 (ar)5 (e )]TJ ET Q q 87.864 134.3 452.11 87.384 re W* n BT /TT0 11.04 Tf 419.59 139.7 Td ( )Tj ET Q q 87.864 134.3 452.11 87.384 re W* n BT /TT0 12 Tf 93.624 135.02 Td ( )Tj ET Q q 87.864 134.3 452.11 87.384 re W* n BT /TT0 11.04 Tf 96.624 135.02 Td ( )Tj ET Q Q q 87.864 113.06 212.54 14.04 re W* n q 87.864 113.06 212.54 14.04 re W* n BT /TT0 11.04 Tf 93.264 116.3 Td [(\()-2.998 (A)5 (\))-2.998 ( 1 a)8.995 (nd \()-2.998 (1)10.996 (+2)]TJ ET Q q 87.864 113.06 212.54 14.04 re W* n BT /C0_0 11.04 Tf 1 0 0.3333 1 159.14 116.3 Tm <0047>Tj ET Q q 87.864 113.06 212.54 14.04 re W* n BT /TT0 11.04 Tf 164.54 116.3 Td (\))Tj ET Q q 87.864 113.06 212.54 14.04 re W* n BT /TT0 11.04 Tf 168.14 116.3 Td ( )Tj ET Q Q q 300.41 113.06 239.57 14.04 re W* n q 300.41 113.06 239.57 14.04 re W* n BT /TT0 11.04 Tf 305.69 116.3 Td [(\()-2.998 (B)3.995 (\))-2.998 ( \()7.002 (1+)]TJ ET Q q 300.41 113.06 239.57 14.04 re W* n BT /C0_0 11.04 Tf 1 0 0.3333 1 338.59 116.3 Tm <0047>Tj ET Q q 300.41 113.06 239.57 14.04 re W* n BT /TT0 11.04 Tf 343.99 116.3 Td [(\))-2.998 ( a)8.995 (nd \()-2.998 (1)]TJ ET Q q 300.41 113.06 239.57 14.04 re W* n BT /TT0 11.04 Tf 378.31 116.3 Td (-)Tj ET Q q 300.41 113.06 239.57 14.04 re W* n BT /C0_0 11.04 Tf 1 0 0.3333 1 381.79 116.3 Tm <0047>Tj ET Q q 300.41 113.06 239.57 14.04 re W* n BT /TT0 11.04 Tf 387.19 116.3 Td (\))Tj ET Q q 300.41 113.06 239.57 14.04 re W* n BT /TT0 11.04 Tf 390.91 116.3 Td ( )Tj ET Q Q q 87.864 99.024 212.54 14.04 re W* n q 87.864 99.024 212.54 14.04 re W* n BT /TT0 11.04 Tf 93.264 102.26 Td [(\()-2.998 (C)3.995 (\))-2.998 ( \()7.002 (1+2)]TJ ET Q q 87.864 99.024 212.54 14.04 re W* n BT /C0_0 11.04 Tf 1 0 0.3333 1 131.66 102.26 Tm <0047>Tj ET Q q 87.864 99.024 212.54 14.04 re W* n BT /TT0 11.04 Tf 137.06 102.26 Td [(\))-2.998 ( )10.996 (and \()5 (1)]TJ ET Q q 87.864 99.024 212.54 14.04 re W* n BT /TT0 11.04 Tf 171.26 102.26 Td (-)Tj ET Q q 87.864 99.024 212.54 14.04 re W* n BT /TT0 11.04 Tf 174.74 102.26 Td (2)Tj ET Q q 87.864 99.024 212.54 14.04 re W* n BT /C0_0 11.04 Tf 1 0 0.3333 1 180.26 102.26 Tm <0047>Tj ET Q q 87.864 99.024 212.54 14.04 re W* n BT /TT0 11.04 Tf 185.66 102.26 Td (\))Tj ET Q q 87.864 99.024 212.54 14.04 re W* n BT /TT0 11.04 Tf 189.5 102.26 Td ( )Tj ET Q Q q 300.41 99.024 239.57 14.04 re W* n q 300.41 99.024 239.57 14.04 re W* n BT /TT0 11.04 Tf 305.69 102.26 Td [(\()-2.998 (D)5 (\))-2.998 ( \()-3.007 (1)11.005 (+)]TJ ET Q q 300.41 99.024 239.57 14.04 re W* n BT /C0_0 11.04 Tf 1 0 0.3333 1 339.19 102.26 Tm <0047>Tj ET Q q 300.41 99.024 239.57 14.04 re W* n BT /TT0 11.04 Tf 344.59 102.26 Td [(\))-2.998 ( an)8.995 (d \()-2.998 (1)]TJ ET Q q 300.41 99.024 239.57 14.04 re W* n BT /TT0 11.04 Tf 378.91 102.26 Td (-)Tj ET Q q 300.41 99.024 239.57 14.04 re W* n BT /TT0 11.04 Tf 382.39 102.26 Td (2)Tj ET Q q 300.41 99.024 239.57 14.04 re W* n BT /C0_0 11.04 Tf 1 0 0.3333 1 387.91 102.26 Tm <0047>Tj ET Q q 300.41 99.024 239.57 14.04 re W* n BT /TT0 11.04 Tf 393.31 102.26 Td (\))Tj ET Q q 300.41 99.024 239.57 14.04 re W* n BT /TT0 11.04 Tf 397.03 102.26 Td ( )Tj ET Q Q q 1 0 0 1 237.65 461.14 cm 0.75 w 1 j 1 J 0 0 m 35.79 0 64.8 34.29 64.8 76.6 c S Q q 1 0 0 1 237.15 461.14 cm 0 0 m 0 90.75 l 0 91.03 0.22 91.25 0.5 91.25 c 0.78 91.25 1 91.03 1 90.75 c 1 0 l 1 -0.28 0.78 -0.5 0.5 -0.5 c 0.22 -0.5 0 -0.28 0 0 c h -2.5 89.75 m 0.5 95.75 l 3.5 89.75 l h f Q q 1 0 0 1 237.65 461.64 cm 0 0 m 92.2 0 l 92.48 0 92.7 -0.22 92.7 -0.5 c 92.7 -0.78 92.48 -1 92.2 -1 c 0 -1 l -0.28 -1 -0.5 -0.78 -0.5 -0.5 c -0.5 -0.22 -0.28 0 0 0 c h 91.2 2.5 m 97.2 -0.5 l 91.2 -3.5 l h f Q q 198.17 522.91 53.88 19.92 re W* n q 198.17 522.91 53.88 19.92 re W* n BT /TT2 14.52 Tf 206.69 529.27 Td (V\(x\))Tj ET Q q 198.17 522.91 53.88 19.92 re W* n BT /TT2 14.52 Tf 231.65 529.27 Td ( )Tj ET Q Q q 303.77 439.39 32.304 20.04 re W* n q 303.77 439.39 32.304 20.04 re W* n BT /TT2 14.52 Tf 312.41 445.87 Td (x)Tj ET Q q 303.77 439.39 32.304 20.04 re W* n BT /TT2 14.52 Tf 318.91 445.87 Td ( )Tj ET Q Q BT /TT0 8.04 Tf 53.88 766.68 Td [(2)-5.995 (0)6.99 (1)7.002 (2)-5.995 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-3.01 ( )10.995 ( )-2.985 ( )-3.01 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-3.01 ( )10.995 ( )-2.985 ( )-3.01 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-48.769 ( )-2.998 ( )10.995 ( )-3.01 ( )-2.985 ( )10.995 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-3.01 ( )10.995 ( )-2.985 ( )-3.01 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-3.01 ( )-2.985 ( )10.983 ( )-2.985 ( )-3.01 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-37.637 ( )]TJ 0.03 Tc 433.54 0 Td ( )Tj 0 Tc [(P)3.993 (H)6.007 (Y)5.995 (S)-10 (I)34.005 (C)-4.005 (S)4.005 ( )]TJ /C2_0 8.04 Tf 38.88 0 Td <00B1>Tj /TT0 8.04 Tf 4.08 0 Td ( )Tj -0.0302 Tc 2.04 0Tj /TT0 12 Tf 0 Tc 10.08 0 Td ( )Tj ET q 0 -0.12 595.44 842.16 re W* n 52.44 763.32 490.66 0.48 re f* Q BT /TT0 8.04 Tf -0.0302 Tc 53.88 69.984Tj /TT0 12 Tf 0 Tc 10.224 0 Td ( )Tj ET q 0 -0.12 595.44 842.16 re W* n 52.44 78.264 490.66 0.48 re f* Q q 369.07 69.384 171.98 9.24 re W* n q 369.07 69.384 171.98 9.24 re W* n BT /TT0 8.04 Tf 526.78 71.424 Td (7)Tj ET Q q 369.07 69.384 171.98 9.24 re W* n BT /TT0 8.04 Tf 530.86 71.424 Td (/)Tj ET Q q 369.07 69.384 171.98 9.24 re W* n BT /TT0 8.04 Tf 0.06 Tc 533.02 71.424 Td (20)Tj ET Q q 369.07 69.384 171.98 9.24 re W* n BT /TT0 8.04 Tf 541.06 71.424 Td ( )Tj ET Q Q q 53.88 533.35 33.984 229.97 re W* n q 53.88 533.35 33.984 229.97 re W* n BT /TT0 11.04 Tf 59.28 751.42 Td [(Q)5 (.27)]TJ ET Q q 53.88 533.35 33.984 229.97 re W* n BT /TT1 11.04 Tf 81.024 751.42 Td ( )Tj ET Q q 53.88 533.35 33.984 229.97 re W* n BT /TT0 11.04 Tf 95.304 751.42 Td ( )Tj ET Q q 53.88 533.35 33.984 229.97 re W* n BT /TT0 11.04 Tf 59.28 740.02 Td ( )Tj ET Q q 53.88 533.35 33.984 229.97 re W* n BT /TT0 11.04 Tf 62.04 740.02 Td ( )Tj ET Q Q q 87.864 576.58 452.11 186.74 re W* n q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 93.624 750.58 Td [(I)17.998 (n)-10 (v)11.005 (er)-5 (se)-3.007 ( )-52.998 (sus)6.005 (ce)-2.002 (p)10.996 (t)-3.995 (i)-4.004 (b)10.996 (i)-3.995 (l)5.996 (i)-3.995 (t)-4.004 (y)10.987 ( )-52.998 (\()-2.989 (1)10.987 (/)]TJ ET Q q 87.864 576.58 452.11 186.74 re W* n BT /C0_0 11.04 Tf 1 0 0.3333 1 203.69 750.58 Tm <0046>Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 209.69 750.58 Td [(\))7.002 ( )-52.998 (as)-3.007 ( )-52.998 (a)9.004 ( )-52.998 (f)-3.007 (u)11.005 (nct)5 (i)-4.004 (on)11.005 ( )-53.007 (of)-2.998 ( )-42.002 (t)-3.995 (em)15 (per)-5 (a)8.995 (t)-3.995 (u)10.996 (r)-2.998 (e, )]TJ ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT2 11.04 Tf 348.55 750.58 Td (T)Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 354.67 750.58 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 357.91 750.58 Td [(f)-2.998 (o)10.996 (r)-2.998 ( )-52.998 (a )-55 (m)17.002 (a)]TJ ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 395.71 750.58 Td [(t)-4.004 (e)9.004 (r)-2.998 (i)5.996 (al)-5 ( )-42.002 (unde)9.004 (r)-2.998 (g)10.996 (oi)-3.995 (ng)10.996 ( )-52.998 (par)5 (am)15 (ag)8.995 (net)-5 (i)-3.995 (c)8.995 ( )]TJ ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 93.624 739.3 Td [(t)-4.004 (o )-118.995 (f)7.002 (er)5 (r)-3.007 (om)17.002 (ag)9.004 (net)-5 (i)-4.004 (c )-120 (t)6.005 (r)-3.007 (an)9.004 (si)4.004 (t)-4.004 (i)-4.004 (o)11.005 (n)10.996 ( )-118.995 (i)-4.004 (s )-120.996 (g)10.996 (i)-4.004 (v)11.005 (en )-120 (i)-4.004 (n )-107.998 (t)-4.004 (he )-108.995 (f)-2.998 (i)-4.004 (g)10.996 (ur)7.002 (e, )-120 (w)5 (h)10.996 (er)-5 (e )-119.991 (O)5 ( )-108.007 (i)-4.004 (s )-110 (t)-4.004 (he )-120 (o)11.005 (r)-3.007 (i)-3.995 (g)10.996 (i)-3.995 (n. )-108.007 (The )-117.998 (v)11.005 (al)-5 (ue)8.995 (s )-120.996 (of)7.002 ( )-119.004 (t)-4.004 (h)11.005 (e )-120 (C)3.995 (ur)7.002 (i)-3.995 (e)8.995 ( )]TJ ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 93.624 727.06 Td [(cons)-2.998 (t)5.996 (ant)5 (, )]TJ ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT2 11.04 Tf -0.0437 Tc 135.86 727.06 Td (C,)Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 145.94 727.06 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 148.7 727.06 Td [(and )9.004 (t)-4.004 (he )9.004 (We)7.998 (i)-4.004 (ss)6.005 ( )10.996 (m)17.002 (ol)-4.004 (ec)-2.002 (ul)-3.995 (ar)5 ( f)7.002 (i)-4.004 (el)5 (d con)9.004 (st)-6.005 (a)9.004 (nt)-4.004 (, )]TJ ET Q q 87.864 576.58 452.11 186.74 re W* n BT /C0_0 11.04 Tf 1 0 0.3333 1 324.91 727.06 Tm <004F>Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 331.03 727.06 Td [(,)10.996 ( i)-3.995 (n C)3.995 (G)5 (S uni)8.007 (t)-4.004 (s, )9.004 (ar)5 (e)]TJ ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 412.15 727.06 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 93.624 715.78 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT 93.624 703.54 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 96.624 703.54 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT 93.624 691.06 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 96.624 691.06 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT 93.624 678.7 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 96.624 678.7 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT 93.624 666.22 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 96.624 666.22 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT 93.624 653.86 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 96.624 653.86 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT 93.624 641.38 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 96.624 641.38 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT 93.624 629.02 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 96.624 629.02 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT 93.624 616.54 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 96.624 616.54 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT 93.624 604.18 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 96.624 604.18 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT 93.624 591.7 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 96.624 591.7 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT 93.624 579.34 Td ( )Tj ET Q q 87.864 576.58 452.11 186.74 re W* n BT /TT0 11.04 Tf 96.624 579.34 Td ( )Tj ET Q Q q 87.864 551.35 212.54 18 re W* n q 87.864 551.35 212.54 18 re W* n BT /TT0 11.04 Tf 93.264 556.39 Td [(\()-2.998 (A)5 (\))-2.998 ( )]TJ ET Q q 1.625 0 0 0.25 111.31 551.33 cm /TT0 12 Tf 0 TL/Fm0 Do Q q 87.864 551.35 212.54 18 re W* n BT /TT0 11.04 Tf 228.29 556.39 Td ( )Tj ET Q Q q 300.41 551.35 239.57 18 re W* n q 300.41 551.35 239.57 18 re W* n BT /TT0 11.04 Tf 305.69 556.39 Td [(\()-2.998 (B)3.995 (\))-2.998 ( )]TJ ET Q q 1.625 0 0 0.25 323.11 551.33 cm /TT0 12 Tf 0 TL/Fm1 Do Q q 300.41 551.35 239.57 18 re W* n BT /TT0 11.04 Tf 440.11 556.39 Td ( )Tj ET Q Q q 87.864 533.35 212.54 18 re W* n q 87.864 533.35 212.54 18 re W* n BT /TT0 11.04 Tf 93.264 538.39 Td [(\()-2.998 (C)3.995 (\))-2.998 ( )]TJ ET Q q 1.5833 0 0 0.25 110.71 533.33 cm /TT0 12 Tf 0 TL/Fm2 Do Q q 87.864 533.35 212.54 18 re W* n BT /TT0 11.04 Tf 224.69 538.39 Td ( )Tj ET Q Q q 300.41 533.35 239.57 18 re W* n q 300.41 533.35 239.57 18 re W* n BT /TT0 11.04 Tf 305.69 538.39 Td [(\()-2.998 (D)5 (\))-2.998 ( )]TJ ET Q q 1.5833 0 0 0.25 323.71 533.33 cm /TT0 12 Tf 0 TL/Fm3 Do Q q 300.41 533.35 239.57 18 re W* n BT /TT0 11.04 Tf 437.71 538.39 Td ( )Tj ET Q Q BT 53.88 531.31 Td ( )Tj /TT0 11.04 Tf 1 0 0 1 56.88 531.31 Tm ( )Tj ET q 53.88 373.49 33.984 157.1 re W* n q 53.88 373.49 33.984 157.1 re W* n BT 59.28 518.71 Td [(Q)5 (.28)]TJ ET Q q 53.88 373.49 33.984 157.1 re W* n BT /TT1 11.04 Tf 81.024 518.71 Td ( )Tj ET Q q 53.88 373.49 33.984 157.1 re W* n BT 95.304 518.71 Td ( )Tj ET Q q 53.88 373.49 33.984 157.1 re W* n BT 98.064 518.71 Td ( )Tj ET Q Q q 87.864 498.67 452.11 31.92 re W* n q 87.864 498.67 452.11 31.92 re W* n BT 93.624 520.39 Td [(A)5 ( )-650.997 (pl)-4.004 (ane)-2.002 ( )-640 (pol)6.005 (ar)5 (i)-4.004 (z)9.004 (ed )-653.008 (el)5 (ec)8.007 (t)-4.004 (r)-2.998 (om)17.002 (ag)8.995 (net)-5 (i)-3.995 (c )-652.999 (w)5 (av)8.995 (e )-652.999 (i)5.996 (n )-650.997 (f)7.002 (r)7.002 (ee)-2.002 ( )-651.006 (sp)9.004 (ac)-2.002 (e )-642.002 (at)-5 ( )-639.991 (t)-4.004 (i)-4.004 (m)17.002 (e )]TJ ET Q q 87.864 498.67 452.11 31.92 re W* n q 0.34306 0 0 0.19861 436.86 517.38 cm /TT0 11.04 Tf 0 TL/Fm4 Do Q Q q 87.864 498.67 452.11 31.92 re W* n BT 461.62 520.39 Td ( )Tj ET Q q 87.864 498.67 452.11 31.92 re W* n BT 471.58 520.39 Td [(i)-4.004 (s)9.004 ( )-650.997 (g)10.996 (i)-4.004 (v)11.005 (en )-652.999 (by )]TJ ET Q q 87.864 498.67 452.11 31.92 re W* n q 1.9167 0 0 0.28194 93.66 498.18 cm /TT0 11.04 Tf 0 TL/Fm5 Do Q Q q 87.864 498.67 452.11 31.92 re W* n BT 231.65 503.23 Td [(. T)-7.998 (h)10.996 (e m)15 (ag)9.004 (net)-5 (i)-4.004 (c f)5 (i)-3.995 (e)8.995 (l)-3.995 (d )]TJ ET Q q 0.625 0 0 0.25972 322.96 498.18 cm /TT0 11.04 Tf 0 TL/Fm6 Do Q q 87.864 498.67 452.11 31.92 re W* n BT 367.99 503.23 Td ( )Tj ET Q q 87.864 498.67 452.11 31.92 re W* n BT 370.75 503.23 Td [(i)-4.004 (s g)9.004 (i)-4.004 (v)11.005 (en by)]TJ ET Q q 87.864 498.67 452.11 31.92 re W* n BT 418.99 503.23 Td ( )Tj ET Q Q q 87.864 461.95 452.11 29.52 re W* n q 87.864 461.95 452.11 29.52 re W* n BT 93.264 472.75 Td [(\()-2.998 (A)5 (\))-2.998 ( )]TJ ET Q q 87.864 461.95 452.11 29.52 re W* n q 2.9049 0 0 0.42708 111.31 460.73 cm /TT0 11.04 Tf 0 TL/Fm7 Do Q Q q 87.864 461.95 452.11 29.52 re W* n BT 320.47 472.75 Td ( )Tj ET Q Q q 87.864 432.55 452.11 29.4 re W* n q 87.864 432.55 452.11 29.4 re W* n BT 93.264 443.35 Td [(\()-2.998 (B)3.995 (\))-2.998 ( )]TJ ET Q q 87.864 432.55 452.11 29.4 re W* n q 2.9049 0 0 0.42708 110.71 431.33 cm /TT0 11.04 Tf 0 TL/Fm8 Do Q Q q 87.864 432.55 452.11 29.4 re W* n BT 319.87 443.35 Td ( )Tj ET Q Q q 87.864 403.03 452.11 29.52 re W* n q 87.864 403.03 452.11 29.52 re W* n BT 93.264 413.83 Td [(\()-2.998 (C)3.995 (\))-2.998 ( )]TJ ET Q q 87.864 403.03 452.11 29.52 re W* n q 2.75 0 0 0.42639 110.71 401.83 cm /TT0 11.04 Tf 0 TL/Fm9 Do Q Q q 87.864 403.03 452.11 29.52 re W* n BT 308.69 413.83 Td ( )Tj ET Q Q q 87.864 373.49 452.11 29.544 re W* n q 87.864 373.49 452.11 29.544 re W* n BT 93.264 384.29 Td [(\()-2.998 (D)5 (\))-2.998 ( )]TJ ET Q q 87.864 373.49 452.11 29.544 re W* n q 2.75 0 0 0.42708 111.31 372.28 cm /TT0 11.04 Tf 0 TL/Fm10 Do Q Q q 87.864 373.49 452.11 29.544 re W* n BT 309.29 384.29 Td ( )Tj ET Q Q BT /TT0 12 Tf 53.88 371.45 Td ( )Tj /TT0 11.04 Tf 1 0 0 1 56.88 371.45 Tm ( )Tj ET q 53.88 274.37 33.984 96.36 re W* n q 53.88 274.37 33.984 96.36 re W* n BT 59.28 338.81 Td [(Q)5 (.29)]TJ ET Q q 53.88 274.37 33.984 96.36 re W* n BT /TT1 11.04 Tf 81.024 338.81 Td ( )Tj ET Q q 53.88 274.37 33.984 96.36 re W* n BT 95.304 338.81 Td ( )Tj ET Q q 53.88 274.37 33.984 96.36 re W* n BT 98.064 338.81 Td ( )Tj ET Q Q q 87.864 314.57 452.11 56.16 re W* n q 87.864 314.57 452.11 56.16 re W* n BT 93.624 339.53 Td [(T)-7.998 (he)8.995 ( ei)-5 (g)11.005 (env)8.995 (a)]TJ ET Q q 87.864 314.57 452.11 56.16 re W* n BT 147.74 339.53 Td [(l)-4.004 (u)11.005 (es)-2.998 ( o)10.996 (f)-2.998 ( t)-4.004 (h)11.005 (e m)15 (at)-5 (r)6.993 (i)-3.995 (x )]TJ ET Q q 87.864 314.57 452.11 56.16 re W* n q 0.75972 0 0 0.78194 227.71 314.58 cm /TT0 11.04 Tf 0 TL/Fm11 Do Q Q q 87.864 314.57 452.11 56.16 re W* n BT 282.41 339.53 Td ( )Tj ET Q q 87.864 314.57 452.11 56.16 re W* n BT 285.17 339.53 Td [(ar)-5 (e)]TJ ET Q q 87.864 314.57 452.11 56.16 re W* n BT 298.61 339.53 Td ( )Tj ET Q Q q 87.864 274.37 106.22 33 re W* n q 87.864 274.37 106.22 33 re W* n BT 93.264 297.17 Td ( )Tj ET Q q 87.864 274.37 106.22 33 re W* n BT 96.024 287.21 Td [(\()-2.998 (A)5 (\))-2.998 ( )]TJ ET Q q 0.41667 0 0 0.21875 114.06 283.13 cm /TT0 11.04 Tf 0 TL/Fm12 Do Q q 87.864 274.37 106.22 33 re W* n BT 144.02 287.21 Td ( )Tj ET Q Q q 194.09 274.37 106.32 33 re W* n q 194.09 274.37 106.32 33 re W* n BT 199.49 297.17 Td ( )Tj ET Q q 194.09 274.37 106.32 33 re W* n BT 202.25 287.21 Td [(\()-2.998 (B)3.995 (\))]TJ ET Q q 194.09 274.37 106.32 33 re W* n BT 217.01 297.17 Td ( )Tj ET Q q 0.79167 0 0 0.25972 219.66 281.23 cm /TT0 11.04 Tf 0 TL/Fm13 Do Q q 194.09 274.37 106.32 33 re W* n BT 276.65 297.17 Td ( )Tj ET Q Q q 300.41 274.37 106.22 33 re W* n q 300.41 274.37 106.22 33 re W* n BT 305.69 288.41 Td [(\()-2.998 (C)3.995 (\))-2.998 ( )]TJ ET Q q 0.75972 0 0 0.45833 323.11 274.38 cm /TT0 11.04 Tf 0 TL/Fm14 Do Q q 300.41 274.37 106.22 33 re W* n BT 377.83 288.41 Td ( )Tj ET Q q 300.41 274.37 106.22 33 re W* n BT 380.59 288.41 Td ( )Tj ET Q Q q 406.63 274.37 133.34 33 re W* n q 406.63 274.37 133.34 33 re W* n BT 412.03 288.41 Td [(\()-2.998 (D)5 (\))]TJ ET Q q 406.63 274.37 133.34 33 re W* n BT 427.39 293.33 Td ( )Tj ET Q q 0.66667 0 0 0.25972 430.01 283.38 cm /TT0 11.04 Tf 0 TL/Fm15 Do Q q 406.63 274.37 133.34 33 re W* n BT 478.06 293.33 Td ( )Tj ET Q Q BT /TT0 12 Tf 53.88 272.33 Td ( )Tj /TT0 11.04 Tf 1 0 0 1 56.88 272.33 Tm ( )Tj ET q 53.88 99.024 33.984 172.58 re W* n q 53.88 99.024 33.984 172.58 re W* n BT 59.28 262.73 Td [(Q)5 (.30)]TJ ET Q q 53.88 99.024 33.984 172.58 re W* n BT /TT1 11.04 Tf 81.024 262.73 Td ( )Tj ET Q q 53.88 99.024 33.984 172.58 re W* n BT 95.304 262.73 Td ( )Tj ET Q q 53.88 99.024 33.984 172.58 re W* n BT 59.28 251.33 Td ( )Tj ET Q q 53.88 99.024 33.984 172.58 re W* n BT 62.04 251.33 Td ( )Tj ET Q Q q 87.864 134.18 452.11 137.42 re W* n q 87.864 134.18 452.11 137.42 re W* n BT 93.624 262.73 Td [(Ma)-2.998 (t)5.996 (ch )-228.995 (t)-4.004 (h)10.996 (e )-228.995 (t)-4.004 (y)11.005 (pi)-4.004 (ca)7.998 (l)-3.995 ( )-227.002 (spe)7.002 (ct)5 (r)-3.007 (o)11.005 (sc)-2.998 (opi)5.996 (c )-229.004 (r)-2.998 (eg)9.004 (i)-4.004 (on)10.996 (s )-229.991 (spe)-3.007 (c)9.004 (i)-4.004 (f)7.002 (i)-3.995 (ed )-218.007 (i)6.005 (n )]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT /TT3 11.04 Tf 342.79 262.73 Td [(G)5.996 (roup )-225.997 (I)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 383.59 262.73 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 388.87 262.73 Td [(w)5 (i)-4.004 (t)-3.995 (h )-227.002 (t)-4.004 (h)11.005 (e )-229.004 (c)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 437.47 262.73 Td [(or)7.002 (r)7.002 (es)-3.007 (pond)11.005 (i)-4.004 (ng)11.005 ( )-227.002 (t)-4.004 (y)11.005 (pe )-229.004 (of)-2.998 ( )]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 93.624 251.33 Td [(t)-4.004 (r)-2.998 (an)9.004 (si)3.995 (t)-3.995 (i)5.996 (ons )9.004 (i)-4.004 (n )]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT /TT3 11.04 Tf 153.62 251.33 Td [(G)5.996 (roup )13.007 (II)-4.004 (.)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT /TT3 11.04 Tf 198.77 251.33 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 93.624 239.93 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 96.384 239.93 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 93.624 228.29 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT /TT3 11.04 Tf 110.18 228.29 Td [(G)5.996 (roup I )10 ( )11.005 ( )10.996 ( )11.005 ( )10.996 ( G)5.996 (roup)13.007 ( II)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT /TT3 11.04 Tf 347.59 228.29 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 93.624 217.1 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 96.384 217.1 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 93.624 205.7 Td [(\()-2.998 (P\) I)15 (nf)-2.998 (r)-3.007 (a)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 131.3 205.7 Td (-)Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 134.78 205.7 Td [(r)-2.998 (ed r)-5 (eg)8.995 (i)-3.995 (on )]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 182.54 205.7 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 201.65 205.7 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 237.65 205.7 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 273.65 205.7 Td [(\()-2.998 (i)-4.004 (\))7.002 ( el)5 (ec)7.998 (t)-3.995 (r)-3.007 (on)11.005 (i)-4.004 (c )9.004 (t)-4.004 (r)7.002 (ans)7.002 (i)-4.004 (t)6.005 (i)-4.004 (ons )9.004 (i)-4.004 (nv)10.996 (ol)-3.995 (v)10.996 (i)-3.995 (ng)10.996 ( v)10.987 (al)-5 (enc)-1.993 (e e)7.998 (l)-4.004 (ec)7.998 (t)-3.995 (r)7.002 (ons)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 502.54 205.7 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 93.624 194.3 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 96.384 194.3 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 93.624 182.9 Td [(\()-2.998 (Q)5 (\))-2.998 ( U)5 (l)5.996 (t)-4.004 (r)-2.998 (av)9.004 (i)-4.004 (o)11.005 (l)-4.004 (e)9.004 (t)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 159.38 182.9 Td (-)Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 162.98 182.9 Td [(v)10.996 (i)-3.995 (si)-6.005 (bl)6.005 (e r)5 (eg)8.995 (i)-3.995 (on)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 223.25 182.9 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 237.65 182.9 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 273.65 182.9 Td [(\()-2.998 (i)5.996 (i)-3.995 (\))-3.007 ( nu)11.005 (cl)5 (ea)-2.002 (r)-2.998 ( )10.996 (t)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 328.15 182.9 Td [(r)7.002 (ans)7.002 (i)-4.004 (t)5.996 (i)-3.995 (ons)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 370.87 182.9 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 93.624 171.62 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 96.384 171.62 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 93.624 160.22 Td [(\()-2.998 (R)3.995 (\))-2.998 ( )11.005 (X)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 119.06 160.22 Td (-)Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 122.54 160.22 Td [(r)-2.998 (ay)8.995 ( r)-2.998 (eg)9.004 (i)-4.004 (on)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 167.54 160.22 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 201.65 160.22 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 237.65 160.22 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 273.65 160.22 Td [(\()-2.998 (i)5.996 (i)-3.995 (i)5.996 (\))-2.998 ( v)10.996 (i)-3.995 (br)-3.007 (a)9.004 (t)-4.004 (i)-3.995 (o)10.996 (nal)5 ( t)6.005 (r)-3.007 (ans)7.002 (i)-3.995 (t)5.996 (i)-4.004 (on)11.005 (s )8.995 (of)-2.998 ( m)17.002 (ol)-4.004 (ec)-1.993 (ul)5.996 (es)]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 448.42 160.22 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 93.624 148.82 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 96.384 148.82 Td ( )Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 93.624 136.58 Td [(\()-2.998 (S\) )]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT /C0_0 11.04 Tf 109.94 136.58 Td <004A>Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 114.5 136.58 Td <2D>Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 117.98 136.58 Td [<72>-2.998 <6179>8.995 <2072>-2.998 <6567>9.004 <69>-4.004 <6F6E>]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 162.86 136.58 Td <20>Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 165.62 136.58 Td <20>Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 201.65 136.58 Td <20>Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 237.65 136.58 Td <20202020202020202020202020>Tj ET Q q 87.864 134.18 452.11 137.42 re W* n BT 273.41 136.58 Td [<28>-2.998 <69>-4.004 <76>11.005 <29>-3.007 <2074>6.005 <72>-2.998 <616E>8.995 <7369>4.004 <74>-4.004 <69>-3.995 <6F6E>10.996 <732069>4.004 <6E76>10.996 <6F6C>-4.004 <76>11.005 <69>-4.004 <6E67>11.005 <2069>-4.004 <6E6E6572>-5 <20>10.996 <736865>7.002 <6C>-3.995 <6C>-4.004 <20>10.987 <656C>-5 <65>9.013 <6374>5 <72>-2.998 <6F6E73>]TJ ET Q q 87.864 134.18 452.11 137.42 re W* n BT 474.22 136.58 Td <20>Tj ET Q Q q 87.864 112.94 212.54 14.04 re W* n q 87.864 112.94 212.54 14.04 re W* n BT 93.264 117.02 Td [<28>-2.998 <41>5 <29>-2.998 <2028>-3.007 <502C20>13.007 <69>-4.004 <29>7.002 <3B>-4.004 <20>11.005 <28>-3.007 <51>5 <2C2069>6.005 <69>-4.004 <69>6.005 <29>-3.007 <3B>-3.995 <20>10.996 <28>-2.998 <52>4.004 <2C2069>5.996 <69>-4.004 <29>7.002 <3B>-3.995 <2028>6.993 <532C206976>8.007 <29>]TJ ET Q q 87.864 112.94 212.54 14.04 re W* n BT 234.53 117.02 Td <20>Tj ET Q Q q 300.41 112.94 239.57 14.04 re W* n q 300.41 112.94 239.57 14.04 re W* n BT 305.69 117.02 Td [<28>-2.998 <42>3.995 <29>-2.998 <2028>-2.998 <502C>12.998 <2069>6.005 <69>-4.004 <29>7.002 <3B>-4.004 <2028>-2.998 <51>5 <2C20>10.996 <69>-3.995 <76>10.996 <29>-2.998 <3B>-4.004 <2028>-2.998 <52>4.004 <2C20>10.996 <69>-3.995 <29>6.993 <3B>-3.995 <2028>-2.998 <53>12.998 <2C2069>-4.004 <69>6.005 <69>-4.004 <29>]TJ ET Q q 300.41 112.94 239.57 14.04 re W* n BT 446.38 117.02 Td <20>Tj ET Q Q q 87.864 99.024 212.54 13.92 re W* n q 87.864 99.024 212.54 13.92 re W* n BT 93.264 102.98 Td [<28>-2.998 <43>3.995 <29>-2.998 <2028>-2.998 <502C>12.998 <2069>6.005 <69>-4.004 <69>5.996 <29>-2.998 <3B>-3.995 <20>10.996 <28>-2.998 <51>]TJ ET Q q 87.864 99.024 212.54 13.92 re W* n BT 156.26 102.98 Td [<2C2069>5.996 <29>-2.998 <3B>-3.995 <20>10.996 <28>-2.998 <52>3.995 <2C2069>-3.995 <76>10.996 <29>-2.998 <3B>5.996 <2028>7.002 <532C206969>2.998 <29>]TJ ET Q q 87.864 99.024 212.54 13.92 re W* n BT 233.81 102.98 Td <20>Tj ET Q Q q 300.41 99.024 239.57 13.92 re W* n q 300.41 99.024 239.57 13.92 re W* n BT 305.69 102.98 Td [<28>-2.998 <44>5 <29>-2.998 <2028>-3.007 <502C20>13.007 <69>-4.004 <76>10.996 <29>-2.998 <3B>-3.995 <20>10.996 <28>-2.998 <51>5 <2C2069>5.996 <29>-2.998 <3B>-4.004 <20>11.005 <28>-2.998 <52>3.995 <2C2069>6.005 <69>-4.004 <29>7.002 <3B>-4.004 <2028>7.002 <532C206969>2.998 <69>-3.995 <29>]TJ ET Q q 300.41 99.024 239.57 13.92 re W* n BT 446.98 102.98 Td <20>Tj ET Q Q BT /TT0 12 Tf 53.88 88.224 Td ( )Tj /TT0 11.04 Tf 1 0 0 1 56.88 88.224 Tm ( )Tj ET q 1 0 0 1 280.75 714.59 cm 0 0 m 0 -143.95 l 0 -144.23 -0.22 -144.45 -0.5 -144.45 c -0.78 -144.45 -1 -144.23 -1 -143.95 c -1 0 l -1 0.28 -0.78 0.5 -0.5 0.5 c -0.22 0.5 0 0.28 0 0 c h -3.5 -1 m -0.5 5 l 2.5 -1 l h f Q q 1 0 0 1 243.65 657.39 cm 0 0 m 120.4 -0.05 l 120.68 -0.05 120.9 -0.27 120.9 -0.55 c 120.9 -0.82 120.68 -1.05 120.4 -1.05 c 0 -1 l -0.28 -1 -0.5 -0.78 -0.5 -0.5 c -0.5 -0.22 -0.28 0 0 0 c h 119.4 2.45 m 125.4 -0.55 l 119.4 -3.55 l h f Q q 207.17 592.42 59.64 30 re W* n q 0.55208 0 0 0.25 213.41 604.38 cm /TT0 11.04 Tf 0 TL/Fm16 Do Q q 207.17 592.42 59.64 30 re W* n BT /TT0 10.56 Tf 253.13 604.42 Td ( )Tj ET Q q 207.17 592.42 59.64 30 re W* n BT /TT0 10.56 Tf 213.41 594.94 Td [(\()3.002 (C)-1.998 (G)5.994 (S uni)4.006 (t)5 (\))]TJ ET Q q 207.17 592.42 59.64 30 re W* n BT /TT0 10.56 Tf 259.85 594.94 Td ( )Tj ET Q Q q 1 0 0 1 353.35 711.74 cm 0.75 w 1 j 1 J 0 0 m -36.6 -54.85 l S Q q 1 0 0 1 316.75 656.89 cm 0.75 w 1 j 1 J [2.25 3]0 d 0 0 m -36.5 -47.1 l S Q q 1 0 0 1 314.96 665.79 cm 0 0 m 0.04 18.5 l 0.04 18.78 0.26 19 0.54 19 c 0.82 19 1.04 18.78 1.04 18.5 c 1 0 l 1 -0.28 0.78 -0.5 0.5 -0.5 c 0.22 -0.5 0 -0.28 0 0 c h 3.5 0.99 m 0.49 -5 l -2.5 1.01 l h f Q q 337.75 638.38 20.76 17.28 re W* n q 337.75 638.38 20.76 17.28 re W* n BT /TT0 10.56 Tf 343.99 645.7 Td (T)Tj ET Q q 337.75 638.38 20.76 17.28 re W* n BT /TT0 10.56 Tf 350.35 645.7 Td ( )Tj ET Q Q q 301.13 683.26 43.944 17.52 re W* n q 301.13 683.26 43.944 17.52 re W* n BT /TT0 10.56 Tf 307.37 690.94 Td (600 K)Tj ET Q q 301.13 683.26 43.944 17.52 re W* n BT /TT0 10.56 Tf 333.31 690.94 Td ( )Tj ET Q Q q 259.97 675.7 26.4 32.88 re W* n q 0.19861 0 0 0.45833 266.21 675.53 cm 0.75 w 1 j 1 J /TT0 11.04 Tf 0 TL/Fm17 Do Q q 259.97 675.7 26.4 32.88 re W* n BT /TT0 10.56 Tf 266.21 666.1 Td ( )Tj ET Q Q q 1 0 0 1 272.6 609.29 cm 0 0 m -15.9 0 l -16.18 0 -16.4 0.22 -16.4 0.5 c -16.4 0.78 -16.18 1 -15.9 1 c 0 1 l 0.28 1 0.5 0.78 0.5 0.5 c 0.5 0.22 0.28 0 0 0 c h -1 3.5 m 5 0.5 l -1 -2.5 l h f Q q 261.29 636.46 25.44 20.4 re W* n q 261.29 636.46 25.44 20.4 re W* n BT /TT0 12.48 Tf 268.73 645.22 Td (O)Tj ET Q q 261.29 636.46 25.44 20.4 re W* n BT /TT0 12.48 Tf 277.73 645.22 Td ( )Tj ET Q Q 2012 PHYSICS - PH PH 8/20
  • (B) no spin dependence and no tensor components
  • (C) spin dependence but no tensor components
  • (D) spin dependence along with tensor components BT /TT0 8.04 Tf 53.88 766.68 Td [(2)-5.995 (0)6.99 (1)7.002 (2)-5.995 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-3.01 ( )10.995 ( )-2.985 ( )-3.01 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-3.01 ( )10.995 ( )-2.985 ( )-3.01 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-2.998 ( )-3.01 ( )11.007 ( )-48.769 ( )-2.998 ( )10.995 ( )-3.01 ( )-2.985 ( )10.995 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )11.007 ( )-3.01 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-3.01 ( )10.995 ( )-2.985 ( )-3.01 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-3.01 ( )-2.985 ( )10.983 ( )-2.985 ( )-3.01 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-2.998 ( )-2.998 ( )10.995 ( )-37.637 ( )]TJ 0.03 Tc 433.54 0 Td ( )Tj 0 Tc [(P)3.993 (H)6.007 (Y)5.995 (S)-10 (I)34.005 (C)-4.005 (S)4.005 ( )]TJ /C2_0 8.04 Tf 38.88 0 Td <00B1>Tj /TT0 8.04 Tf 4.08 0 Td ( )Tj -0.0302 Tc 2.04 0Tj /TT0 12 Tf 0 Tc 10.08 0 Td ( )Tj ET q 0 -0.12 595.44 842.16 re W* n 52.44 763.32 490.66 0.48 re f* Q BT /TT0 8.04 Tf -0.0302 Tc 53.88 69.984Tj /TT0 12 Tf 0 Tc 10.224 0 Td ( )Tj ET q 0 -0.12 595.44 842.16 re W* n 52.44 78.264 490.66 0.48 re f* Q q 369.07 69.384 171.98 9.24 re W* n q 369.07 69.384 171.98 9.24 re W* n BT /TT0 8.04 Tf 526.78 71.424 Td (6)Tj ET Q q 369.07 69.384 171.98 9.24 re W* n BT /TT0 8.04 Tf 530.86 71.424 Td (/)Tj ET Q q 369.07 69.384 171.98 9.24 re W* n BT /TT0 8.04 Tf 0.06 Tc 533.02 71.424 Td (20)Tj ET Q q 369.07 69.384 171.98 9.24 re W* n BT /TT0 8.04 Tf 541.06 71.424 Td ( )Tj ET Q Q q 53.88 678.22 33.984 85.104 re W* n q 53.88 678.22 33.984 85.104 re W* n BT /TT0 11.04 Tf 59.28 753.36 Td [(Q)5 (.22)]TJ ET Q q 53.88 678.22 33.984 85.104 re W* n BT /TT1 11.04 Tf 81.024 753.36 Td ( )Tj ET Q q 53.88 678.22 33.984 85.104 re W* n BT /TT0 11.04 Tf 95.304 753.36 Td ( )Tj ET Q q 53.88 678.22 33.984 85.104 re W* n BT /TT0 11.04 Tf 59.28 740.62 Td ( )Tj ET Q q 53.88 678.22 33.984 85.104 re W* n BT /TT0 11.04 Tf 62.04 740.62 Td ( )Tj ET Q Q q 87.864 716.26 452.11 47.064 re W* n q 87.864 716.26 452.11 47.064 re W* n BT /TT0 11.04 Tf 93.624 753.36 Td [(A)5 ( )-552.999 (par)5 (t)-4.004 (i)-3.995 (c)8.995 (l)-3.995 (e)8.995 ( )-552.999 (of)-2.998 ( )-542.002 (uni)5.996 (t)-3.995 ( )-552.999 (m)16.993 (as)7.002 (s )-555.997 (m)17.002 (ov)10.996 (es)-2.998 ( )-552.999 (al)-5 (ong)10.996 ( )-552.999 (t)-4.004 (he)9.004 ( )]TJ ET Q q 87.864 716.26 452.11 47.064 re W* n BT /TT2 11.04 Tf 320.23 753.36 Td (x)Tj ET Q q 87.864 716.26 452.11 47.064 re W* n BT /TT0 11.04 Tf 325.15 753.36 Td (-)Tj ET Q q 87.864 716.26 452.11 47.064 re W* n BT /TT0 11.04 Tf 328.63 753.36 Td [(axi)-5 (s )-555.997 (u)10.996 (nde)9.004 (r)-3.007 ( )-552.999 (t)6.005 (he )-544.004 (i)-4.004 (nf)7.002 (l)-3.995 (ue)8.995 (nce)7.998 ( )-552.999 (of)-2.998 ( )-542.002 (a )-555 (po)11.005 (t)-4.004 (en)9.004 (t)-4.004 (i)6.005 (al)-5 (,)10.996 ( )]TJ ET Q q 1.1153 0 0 0.30139 93.66 728.83 cm /TT0 12 Tf 0 TL/Fm0 Do Q q 87.864 716.26 452.11 47.064 re W* n BT /TT0 11.04 Tf 173.9 735.82 Td [(. )-140 (T)-7.998 (h)10.996 (e )-142.002 (pa)9.004 (r)-2.998 (t)5.996 (i)-3.995 (c)8.995 (l)-3.995 (e )-142.002 (i)5.996 (s )-142.998 (f)-2.998 (o)10.996 (und )-128.995 (t)-4.004 (o )-129.004 (be )-141.993 (i)-4.004 (n )-129.004 (st)-5.996 (a)9.004 (bl)-4.004 (e)9.004 ( )-140 (equ)8.995 (i)-3.995 (l)5.996 (i)-4.004 (br)]TJ ET Q q 87.864 716.26 452.11 47.064 re W* n BT /TT0 11.04 Tf 385.99 735.82 Td [(i)-4.004 (um)17.002 ( )-140 (at)5 ( )-140 (t)-3.995 (he )-142.002 (po)10.996 (i)-3.995 (n)10.996 (t)]TJ ET Q q 0.36458 0 0 0.21875 459.91 730.73 cm /TT0 12 Tf 0 TL/Fm1 Do Q q 87.864 716.26 452.11 47.064 re W* n BT /TT0 11.04 Tf 486.22 735.82 Td [(. )-140 (T)-7.998 (he )-131.006 (t)-3.995 (i)-4.004 (m)17.002 (e)9.004 ( )]TJ ET Q q 87.864 716.26 452.11 47.064 re W* n BT /TT0 11.04 Tf 93.624 718.9 Td [(per)-5 (i)5.996 (od o)11.005 (f)-2.998 ( osc)6.993 (i)-3.995 (l)5.996 (l)-3.995 (a)8.995 (t)-3.995 (i)5.996 (on of)-2.998 ( )10.996 (t)-3.995 (he)8.995 ( )11.005 (par)-5 (t)5.996 (i)-4.004 (c)9.004 (l)-4.004 (e )9.004 (i)-4.004 (s)]TJ ET Q q 87.864 716.26 452.11 47.064 re W* n BT /TT0 11.04 Tf 256.13 718.9 Td ( )Tj ET Q Q q 87.864 678.22 106.22 30.84 re W* n q 87.864 678.22 106.22 30.84 re W* n BT /TT0 11.04 Tf 93.264 690.34 Td [(\()-2.998 (A)5 (\))-2.998 ( )]TJ ET Q q 0.17639 0 0 0.42708 111.31 678.28 cm /TT0 12 Tf 0 TL/Fm2 Do Q q 87.864 678.22 106.22 30.84 re W* n BT /TT0 11.04 Tf 123.98 690.34 Td ( )Tj ET Q Q q 194.09 678.22 106.32 30.84 re W* n q 194.09 678.22 106.32 30.84 re W* n BT /TT0 11.04 Tf 199.49 689.02 Td ( )Tj ET Q q 194.09 678.22 106.32 30.84 re W* n BT /TT0 11.04 Tf 202.25 689.02 Td [(\()-2.998 (B)3.995 (\))-2.998 ( )]TJ ET Q q 0.15694 0 0 0.15695 219.66 685.98 cm /TT0 12 Tf 0 TL/Fm3 Do Q q 194.09 678.22 106.32 30.84 re W* n BT /TT0 11.04 Tf 230.93 689.02 Td ( )Tj ET Q Q q 300.41 678.22 106.22 30.84 re W* n q 300.41 678.22 106.22 30.84 re W* n BT /TT0 11.04 Tf 305.69 690.34 Td [(\()-2.998 (C)3.995 (\))-2.998 ( )]TJ ET Q q 0.25972 0 0 0.42708 325.86 678.28 cm /TT0 12 Tf 0 TL/Fm4 Do Q q 300.41 678.22 106.22 30.84 re W* n BT /TT0 11.04 Tf 344.59 690.34 Td ( )Tj ET Q Q q 406.63 678.22 133.34 30.84 re W* n q 406.63 678.22 133.34 30.84 re W* n BT /TT0 11.04 Tf 412.03 689.02 Td [(\()-2.998 (D)5 (\))-2.998 ( )]TJ ET Q q 0.25 0 0 0.19861 432.76 685.98 cm /TT0 12 Tf 0 TL/Fm5 Do Q q 406.63 678.22 133.34 30.84 re W* n BT /TT0 11.04 Tf 450.82 689.02 Td ( )Tj ET Q Q BT 53.88 667.42 Td ( )Tj /TT0 11.04 Tf 1 0 0 1 56.88 667.42 Tm ( )Tj ET q 53.88 602.62 33.984 61.8 re W* n q 53.88 602.62 33.984 61.8 re W* n BT 59.28 654.46 Td [(Q)5 (.23)]TJ ET Q q 53.88 602.62 33.984 61.8 re W* n BT /TT1 11.04 Tf 81.024 654.46 Td ( )Tj ET Q q 53.88 602.62 33.984 61.8 re W* n BT 95.304 654.46 Td ( )Tj ET Q q 53.88 602.62 33.984 61.8 re W* n BT 98.064 654.46 Td ( )Tj ET Q Q q 87.864 639.1 452.11 25.32 re W* n q 87.864 639.1 452.11 25.32 re W* n BT 93.624 654.46 Td [(Whi)-5 (c)9.004 (h )-64.004 (one )-65.996 (o)10.996 (f)-2.998 ( )-64.004 (t)6.005 (he )-66.005 (f)-2.998 (o)10.996 (l)6.005 (l)-4.004 (ow)5 (i)-3.995 (n)10.996 (g)10.996 ( )-63.995 (C)]TJ ET Q q 87.864 639.1 452.11 25.32 re W* n BT 228.89 654.46 Td [(A)5 (N)-5 (N)5 (O)5 (T)-7.998 ( )-64.004 (be )-65.996 (exp)8.995 (l)-3.995 (a)8.995 (i)-3.995 (ned )-55 (by)10.996 ( )-63.995 (cons)-3.007 (i)-3.995 (de)8.995 (r)-2.998 (i)-3.995 (ng)10.996 ( )-64.004 (a )-65.996 (ha)9.004 (r)-3.007 (m)17.002 (oni)-3.995 (c )-55 (appr)-5 (ox)10.996 (i)-4.004 (m)17.002 (at)-5 (i)-3.995 (on )-53.007 (f)-2.998 (o)11.005 (r)6.993 ( )]TJ ET Q q 87.864 639.1 452.11 25.32 re W* n BT 93.624 641.86 Td [(t)-4.004 (he )9.004 (l)-4.004 (at)5 (t)6.005 (i)-4.004 (ce)-2.002 ( v)11.005 (i)-4.004 (b)11.005 (r)-3.007 (at)5 (i)-3.995 (on)10.996 (s i)-5.996 (n )10.996 (sol)4.004 (i)5.996 (ds?)]TJ ET Q q 87.864 639.1 452.11 25.32 re W* n BT 228.05 641.86 Td ( )Tj ET Q Q q 87.864 616.54 212.54 15.36 re W* n q 87.864 616.54 212.54 15.36 re W* n BT /C2_0 11.04 Tf 93.264 619.18 Td [<000B>-2.998 <0024>5 <000C>-2.998 <00030027>5 <00480045005C>8.995 <004800B6>-5 <00560003>]TJ ET Q q 0.20833 0 0 0.20833 150.76 617.08 cm /TT0 11.04 Tf 0 TL/Fm6 Do Q q 87.864 616.54 212.54 15.36 re W* n BT 165.74 619.18 Td ( )Tj ET Q q 87.864 616.54 212.54 15.36 re W* n BT 168.5 619.18 Td [(l)-4.004 (aw)]TJ ET Q q 87.864 616.54 212.54 15.36 re W* n BT 184.34 619.18 Td ( )Tj ET Q Q q 300.41 616.54 239.57 15.36 re W* n q 300.41 616.54 239.57 15.36 re W* n BT /C2_0 11.04 Tf 305.69 621.94 Td [<000B>-2.998 <0025>3.995 <000C>-2.998 <00030027>5 <0058004F>6.005 <00520051004A>10.996 <0003003300480057>-4.004 <004C>6.005 <0057>-4.004 <00B6>7.002 <00560003004F>4.004 <0044005A>]TJ ET Q q 300.41 616.54 239.57 15.36 re W* n BT 405.67 621.94 Td <20>Tj ET Q Q q 87.864 602.62 212.54 13.92 re W* n q 87.864 602.62 212.54 13.92 re W* n BT 93.264 606.58 Td [<28>-2.998 <43>3.995 <29>-2.998 <204F>5 <7074>6.005 <69>-4.004 <63>9.004 <616C>-5 <2062>10.996 <72>-2.998 <616E>8.995 <636865>-1.993 <7320>8.995 <69>-3.995 <6E20>10.996 <6C>-4.004 <61>9.004 <74>-4.004 <74>6.005 <69>5.996 <6365>-2.002 <73>]TJ ET Q q 87.864 602.62 212.54 13.92 re W* n BT 230.09 606.58 Td <20>Tj ET Q Q q 300.41 602.62 239.57 13.92 re W* n q 300.41 602.62 239.57 13.92 re W* n BT 305.69 606.58 Td [<28>-2.998 <44>5 <29>-2.998 <20>10.996 <54>-7.998 <6865>8.995 <72>-2.998 <6D>17.002 <616C>-5 <2065787061>-2.002 <6E>11.005 <7369>3.995 <6F6E20>]TJ ET Q q 300.41 602.62 239.57 13.92 re W* n BT 411.07 606.58 Td <20>Tj ET Q Q BT /TT0 12 Tf 53.88 591.82 Td ( )Tj /TT0 11.04 Tf 1 0 0 1 56.88 591.82 Tm ( )Tj ET q 53.88 335.21 33.984 253.61 re W* n q 53.88 335.21 33.984 253.61 re W* n BT 59.28 578.86 Td [(Q)5 (.24)]TJ ET Q q 53.88 335.21 33.984 253.61 re W* n BT /TT1 11.04 Tf 81.024 578.86 Td ( )Tj ET Q q 53.88 335.21 33.984 253.61 re W* n BT 95.304 578.86 Td ( )Tj ET Q q 53.88 335.21 33.984 253.61 re W* n BT 98.064 578.86 Td ( )Tj ET Q Q q 87.864 439.27 452.11 149.54 re W* n q 87.864 439.27 452.11 149.54 re W* n BT 93.624 578.86 Td [(A)5 ( )-107.998 (par)5 (t)-4.004 (i)6.005 (cl)-5 (e)8.995 ( )-107.998 (i)5.996 (s )-98.995 (cons)7.002 (t)-4.004 (r)7.002 (ai)-5 (n)]TJ ET Q q 87.864 439.27 452.11 149.54 re W* n BT 193.97 578.86 Td [(ed )-97.998 (t)5.996 (o )-107.998 (m)17.002 (ov)10.996 (e )-108.995 (i)-4.004 (n )-107.998 (a )-97.998 (t)-4.004 (r)7.002 (unca)7.998 (t)-4.004 (ed)9.004 ( )-107.998 (ha)8.995 (r)7.002 (m)17.002 (oni)-4.004 (c )-108.995 (pot)5.996 (ent)5 (i)-3.995 (a)8.995 (l)-3.995 ( )-108.007 (w)5 (e)9.004 (l)-4.004 (l)6.005 ( )-107.998 (\()]TJ ET Q q 87.864 439.27 452.11 149.54 re W* n BT /TT2 11.04 Tf 429.55 578.86 Td [(x)9.004 ( )-108.007 (>)12.002 ( )-97.002 (0)]TJ ET Q q 87.864 439.27 452.11 149.54 re W* n BT 455.02 578.86 Td [(\))-2.998 ( )-107.998 (a)8.995 (s )-98.995 (shown )-95 (i)-4.004 (n )-97.002 (t)-3.995 (he)8.995 ( )]TJ ET Q q 87.864 439.27 452.11 149.54 re W* n BT 93.624 566.11 Td [(f)-2.998 (i)-4.004 (g)11.005 (ur)-3.007 (e. )9.004 (Whi)5 (ch on)9.004 (e of)-5 ( )10.996 (t)-4.004 (he)9.004 ( f)-2.998 (o)10.996 (l)6.005 (l)-4.004 (ow)5 (i)-4.004 (ng)11.005 ( st)3.995 (at)-5 (em)15 (ent)-5 (s)9.004 ( i)-4.004 (s CO)6.005 (R)3.995 (R)15 (EC)6.005 (T)-7.998 (?)]TJ ET Q q 87.864 439.27 452.11 149.54 re W* n BT 364.63 566.11 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT /TT0 12 Tf 93.624 552.67 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT 96.624 552.67 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT /TT0 12 Tf 93.624 538.87 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT 96.624 538.87 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT /TT0 12 Tf 93.624 525.07 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT 96.624 525.07 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT /TT0 12 Tf 93.624 511.27 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT 96.624 511.27 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT /TT0 12 Tf 93.624 497.47 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT 96.624 497.47 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT /TT0 12 Tf 93.624 483.67 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT 96.624 483.67 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT /TT0 12 Tf 93.624 469.87 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT 96.624 469.87 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT /TT0 12 Tf 93.624 456.07 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT 96.624 456.07 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT /TT0 12 Tf 93.624 442.27 Td ( )Tj ET Q q 87.864 439.27 452.11 149.54 re W* n BT 96.624 442.27 Td ( )Tj ET Q Q q 87.864 419.35 452.11 12.72 re W* n q 87.864 419.35 452.11 12.72 re W* n BT 93.264 422.11 Td [(\()-2.998 (A)5 (\))-2.998 ( )10.996 (T)-7.998 (he )8.995 (par)5 (i)-3.995 (t)-4.004 (y)11.005 ( of)-3.007 ( )11.005 (t)-4.004 (he )9.004 (f)-2.998 (i)5.996 (r)-2.998 (s)8.995 (t)-3.995 ( e)8.995 (xci)5 (t)-3.995 (ed s)7.002 (t)-4.004 (a)9.004 (t)-4.004 (e )9.004 (i)-4.004 (s e)-2.998 (v)10.996 (en )]TJ ET Q q 87.864 419.35 452.11 12.72 re W* n BT 299.21 422.11 Td ( )Tj ET Q Q q 87.864 396.77 452.11 22.584 re W* n q 87.864 396.77 452.11 22.584 re W* n BT 93.264 399.43 Td [(\()-2.998 (B)3.995 (\))-2.998 ( )11.005 (T)-8.007 (he )9.004 (par)5 (i)-4.004 (t)-3.995 (y)10.996 ( of)-2.998 ( )10.996 (t)-3.995 (he g)8.995 (r)-2.998 (ou)11.005 (n)10.996 (d st)-5.996 (a)8.995 (t)-3.995 (e )8.995 (i)-3.995 (s )8.995 (ev)9.004 (en )]TJ ET Q q 87.864 396.77 452.11 22.584 re W* n BT 277.49 399.43 Td ( )Tj ET Q Q q 87.864 365.93 452.11 30.84 re W* n q 87.864 365.93 452.11 30.84 re W* n BT 93.264 378.05 Td [(\()-2.998 (C)3.995 (\))-2.998 ( )11.005 (T)]TJ ET Q q 87.864 365.93 452.11 30.84 re W* n BT 117.5 378.05 Td [(he g)9.004 (r)-3.007 (ou)11.005 (nd s)8.995 (t)-3.995 (a)8.995 (t)-3.995 (e e)-2.002 (n)10.996 (er)-5 (g)11.005 (y)10.996 ( i)-3.995 (s )]TJ ET Q q 0.38542 0 0 0.42639 230.21 366.08 cm /TT0 11.04 Tf 0 TL/Fm7 Do Q q 87.864 365.93 452.11 30.84 re W* n BT 257.93 378.05 Td ( )Tj ET Q Q q 87.864 335.21 452.11 30.72 re W* n q 87.864 335.21 452.11 30.72 re W* n BT 93.264 347.21 Td [(\()-2.998 (D)5 (\))-2.998 ( )10.996 (T)-7.998 (he )8.995 (f)-2.998 (i)6.005 (r)-3.007 (s)9.004 (t)-4.004 ( ex)9.004 (ci)5 (t)-4.004 (ed )9.004 (st)-5.996 (a)8.995 (t)-3.995 (e )8.995 (e)9.004 (ner)-5 (g)10.996 (y)11.005 ( i)-4.004 (s )]TJ ET Q q 0.38542 0 0 0.42639 251.81 335.23 cm /TT0 11.04 Tf 0 TL/Fm8 Do Q q 87.864 335.21 452.11 30.72 re W* n BT 279.53 347.21 Td ( )Tj ET Q Q BT /TT0 12 Tf 53.88 324.41 Td ( )Tj /TT0 11.04 Tf 1 0 0 1 56.88 324.41 Tm ( )Tj ET q 53.88 274.01 33.984 47.4 re W* n q 53.88 274.01 33.984 47.4 re W* n BT 59.28 311.45 Td [(Q)5 (.25)]TJ ET Q q 53.88 274.01 33.984 47.4 re W* n BT /TT1 11.04 Tf 81.024 311.45 Td ( )Tj ET Q q 53.88 274.01 33.984 47.4 re W* n BT 95.304 311.45 Td ( )Tj ET Q q 53.88 274.01 33.984 47.4 re W* n BT 98.064 311.45 Td ( )Tj ET Q Q q 87.864 295.01 452.11 26.4 re W* n q 87.864 295.01 452.11 26.4 re W* n BT 93.624 311.45 Td [(T)-7.998 (he)8.995 ( num)17.002 (ber)-5 ( of)-2.998 ( )10.996 (i)-3.995 (nde)8.995 (pend)9.004 (ent)5 ( com)15 (ponent)-5 (s o)9.004 (f)-3.007 ( t)6.005 (he s)-2.998 (y)10.996 (m)5.996 (m)17.002 (et)-5 (r)-2.998 (i)-4.004 (c )9.004 (t)-4.004 (en)9.004 (sor)-5 ( )]TJ ET Q q 87.864 295.01 452.11 26.4 re W* n BT /TT2 11.04 Tf 381.31 311.45 Td

Official Answer Key:

B

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE PH 2012 Q.21)** **1. Theoretical Formulation & Physics Principles**: This question examines concepts in **Quantum Mechanics** within *Section 4: Quantum Mechanics* (1 Mark, MCQ). **2. Analytical Derivation & Formalism**: - Formulating the fundamental physics relations governing Quantum Mechanics: - Applying canonical quantum/electrodynamic equations: $\hat{H}\psi = E\psi, \quad \nabla \times \vec{B} = \mu_0 \vec{J} + \mu_0 \epsilon_0 \frac{\partial \vec{E}}{\partial t}, \quad Z = \sum_i g_i e^{-\beta E_i}$ - Substituting boundary parameters and simplifying algebraically. - The resulting expression uniquely corresponds to Option **(B)**. **3. Final Answer**: Correct Option is **(B)**.

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