Official PYQ Paper

GATE PH 2012 Question Paper & Solutions

Full official paper with all 65 questions solved with official answer keys.

Start 3-Hour CBT Simulator

Questions Directory (Q1 – Q65)

Q1 MCQ • 1M

Quantitative & Analytical Aptitude

Question 1 from official GATE PH 2012 Examination.

Q2 MCQ • 1M

Quantitative & Analytical Aptitude

Question 2 from official GATE PH 2012 Examination.

Q3 MCQ • 1M

Quantitative & Analytical Aptitude

Question 3 from official GATE PH 2012 Examination.

Q4 MCQ • 1M

Quantitative & Analytical Aptitude

Question 4 from official GATE PH 2012 Examination.

Q5 MCQ • 1M

Quantitative & Analytical Aptitude

Question 5 from official GATE PH 2012 Examination.

Q6 MCQ • 2M

Quantitative & Analytical Aptitude

Question 6 from official GATE PH 2012 Examination.

Q7 MCQ • 2M

Quantitative & Analytical Aptitude

Question 7 from official GATE PH 2012 Examination.

Q8 MCQ • 2M

Quantitative & Analytical Aptitude

Question 8 from official GATE PH 2012 Examination.

Q9 MCQ • 2M

Quantitative & Analytical Aptitude

Question 9 from official GATE PH 2012 Examination.

Q10 MCQ • 2M

Quantitative & Analytical Aptitude

Question 10 from official GATE PH 2012 Examination.

Q11 MCQ • 1M

Nuclear & Particle Physics

Question 11 from official GATE PH 2012 Examination.

Q12 MCQ • 1M

Nuclear & Particle Physics

Question 12 from official GATE PH 2012 Examination.

Q13 MCQ • 1M

Nuclear & Particle Physics

Question 13 from official GATE PH 2012 Examination.

Q14 MCQ • 1M

Nuclear & Particle Physics

Question 14 from official GATE PH 2012 Examination.

Q15 MCQ • 1M

Nuclear & Particle Physics

Question 15 from official GATE PH 2012 Examination.

Q16 MCQ • 1M

Nuclear & Particle Physics

Question 16 from official GATE PH 2012 Examination.

Q17 MCQ • 1M

Nuclear & Particle Physics

Question 17 from official GATE PH 2012 Examination.

Q18 MCQ • 1M

Nuclear & Particle Physics

Question 18 from official GATE PH 2012 Examination.

Q19 MCQ • 1M

Nuclear & Particle Physics

Question 19 from official GATE PH 2012 Examination.

Q20 NAT • 1M

Electronics

Consider the following OP-AMP circuit. Which one of the following correctly represents the output Vout corresponding to the input Vin? (A) (B) (C) (D)

Q21 MCQ • 1M

Quantum Mechanics

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

Q22 MCQ • 1M

Nuclear & Particle Physics

Question 22 from official GATE PH 2012 Examination.

Q23 MCQ • 1M

Nuclear & Particle Physics

Question 23 from official GATE PH 2012 Examination.

Q24 MCQ • 1M

Nuclear & Particle Physics

Question 24 from official GATE PH 2012 Examination.

Q25 MCQ • 1M

Nuclear & Particle Physics

Question 25 from official GATE PH 2012 Examination.

Q26 MCQ • 1M

Nuclear & Particle Physics

Question 26 from official GATE PH 2012 Examination.

Q27 MCQ • 1M

Nuclear & Particle Physics

Question 27 from official GATE PH 2012 Examination.

Q28 MCQ • 1M

Nuclear & Particle Physics

Question 28 from official GATE PH 2012 Examination.

Q29 MCQ • 1M

Nuclear & Particle Physics

Question 29 from official GATE PH 2012 Examination.

Q30 MCQ • 1M

Nuclear & Particle Physics

Question 30 from official GATE PH 2012 Examination.

Q31 NAT • 1M

Nuclear & Particle Physics

In the following circuit, for the output voltage to be Vo = ( - V1 + V2 /2), the ratio R1/R2 is (A) 1/2 (B) 1 (C) 2 (D) 3

Q32 NAT • 1M

Statistical Physics & Thermodynamics

The terms arising from 2s13d1 electronic configuration in j-j coupling scheme are (A) (B) (C) (D)

Q33 NAT • 1M

Electronics

In the following circuit, the voltage drop across the ideal diode in forward bias condition is 0.7 V. The current passing through the diode is (A) 0.5 mA (B) 1.0 mA (C) 1.5 mA (D) 2.0 mA

Q34 MCQ • 1M

Nuclear & Particle Physics

Choose the CORRECT statement from the following.

Q35 NAT • 1M

Nuclear & Particle Physics

A rod of proper length l0 oriented parallel to the x-axis moves with speed 2c/3 along the x-axis in the S-frame, where c is the speed of the light in free space. The observer is also moving along the x-axis with speed c/2 with respect to the S-frame. The length of the rod as measured by the observer is

Q36 NAT • 2M

Nuclear & Particle Physics

Question 36 from official GATE PH 2012 Examination.

Q37 NAT • 2M

Nuclear & Particle Physics

Question 37 from official GATE PH 2012 Examination.

Q38 NAT • 2M

Nuclear & Particle Physics

Question 38 from official GATE PH 2012 Examination.

Q39 NAT • 2M

Nuclear & Particle Physics

Question 39 from official GATE PH 2012 Examination.

Q40 NAT • 2M

Nuclear & Particle Physics

Question 40 from official GATE PH 2012 Examination.

Q41 NAT • 2M

Nuclear & Particle Physics

Question 41 from official GATE PH 2012 Examination.

Q42 NAT • 2M

Nuclear & Particle Physics

Question 42 from official GATE PH 2012 Examination.

Q43 NAT • 2M

Nuclear & Particle Physics

Question 43 from official GATE PH 2012 Examination.

Q44 NAT • 2M

Nuclear & Particle Physics

Question 44 from official GATE PH 2012 Examination.

Q45 NAT • 2M

Nuclear & Particle Physics

Question 45 from official GATE PH 2012 Examination.

Q46 NAT • 2M

Nuclear & Particle Physics

The equilibrium vibration frequency for an oscillator is observed at 2990 cm-1. The ratio of the frequencies corresponding to the first and the fundamental spectral lines is 1.96. Considering the oscillator to be anharmonic, the anharmonicity constant is (A) 0.005 (B) 0.02 (C) 0.05 (D) 0.1

Q47 NAT • 2M

Quantum Mechanics

At a certain temperature T, the average speed of nitrogen molecules in air is found to be 400 m/s. The most probable and the root mean square speeds of the molecules are, respectively, (A) 355 m/s, 434 m/s (B) 820 m/s, 917 m/s (C) 152 m/s, 301 m/s (D) 422 m/s, 600 m/s Common Data Questions Common Data for Questions 48 and 49: The wavefunction of a particle moving in free space is given by,

Q48 NAT • 2M

Nuclear & Particle Physics

The energy of the particle is (A) m k 2 5 2 2 (B) m k 4 3 2 2 (C) m k 2 2 2 (D) m k 2 2

Q49 NAT • 2M

Quantum Mechanics

The probability current density for the real part of the wavefunction is (A) 1 (B) k m (C) 2 k m (D) 0 Common Data for Questions 50 and 51: The dispersion relation for a one dimensional monatomic crystal with lattice spacing a , which interacts via nearest neighbour harmonic potential is given by , where A is a constant of appropriate unit.

Q50 NAT • 2M

Solid State Physics

( The group velocity at the boundary of the first Brillouin zone is (A) 0 (B) 1 (C) 2 2 Aa (D) 21 22 Aa

Q51 NAT • 2M

Nuclear & Particle Physics

The force constant between the nearest neighbour of the lattice is (M is the mass of the atom) (A) 2 4 MA (B) 2 2 MA (C) 2MA (D) 2 2MA 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 0.06 Tc 522.82 71.424 Td (13)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 533.14 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 BT /TT1 12.96 Tf 53.88 751.18 Td [(Linked )-6.998 (Answ)-16.998 (er Question)-6.296 (s)-9.151 ( )]TJ ET q 53.52 656.14 486.1 80.16 re W* n q 53.52 656.14 486.1 80.16 re W* n BT /TT1 12 Tf 59.28 725.26 Td [(S)-3 (tat)6 (e)-5 (m)13 (e)4 (n)-3 (t f)-3 (or)4 ( L)-2 (in)-5 (k)-3 (e)4 (d)-3 ( Answ)-10 (e)4 (r)4 ( Qu)-5 (e)4 (stion)-3 (s 52 an)5 (d)6 ( 53:)]TJ ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 12 Tf 321.67 725.26 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 327.67 725.26 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 12 Tf 59.28 711.7 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 62.28 711.7 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 59.28 698.74 Td [(I)17.998 (n )-97.002 (a )-97.998 (hy)11.005 (dr)-3.007 (og)11.005 (en )-97.998 (at)-5 (om)16.993 (, )-96.993 (cons)6.993 (i)6.005 (der)-5 ( )-86.005 (t)-3.995 (ha)8.995 (t)-3.995 ( )-86.005 (t)-3.995 (he)8.995 ( )-96.993 (e)8.995 (l)-3.995 (ec)7.998 (t)-4.004 (r)-2.998 (o)10.996 (ni)-3.995 (c)8.995 ( )-96.993 (ch)8.995 (ar)5 (g)11.005 (e )-98.007 (i)-3.995 (s )-99.004 (u)11.005 (ni)5.996 (f)-2.998 (or)-2.998 (m)16.993 (l)-3.995 (y)10.996 ( )-97.002 (di)-3.995 (s)8.995 (t)-3.995 (r)7.002 (i)-4.004 (but)5.996 (ed)9.004 ( )-97.002 (i)-3.995 (n)10.987 ( )-97.002 (a )-87.998 (sphe)7.002 (r)-2.989 (i)5.987 (ca)-2.002 (l)6.014 ( )-97.011 (v)10.996 (ol)-3.995 (um)16.993 (e )-97.998 (of)7.002 ( )]TJ ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 59.28 685.3 Td [(r)17.998 (a)20 (d)22.002 (i)17.002 (u)22.002 (s)18.995 ( )]TJ ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT2 11.04 Tf 88.224 685.3 Td (a)Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 93.504 685.3 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 96.744 685.3 Td [(\()17.998 (=)21.005 ( )-42.002 (0)22.002 (.)21.993 (5)11.005 ( )]TJ ET Q q 53.52 656.14 486.1 80.16 re W* n BT /C0_0 11.04 Tf 125.9 685.3 Td <0075>Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 131.78 685.3 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf -0.24 Tc 135.02 685.3 Td (10)Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 6.96 Tf 145.7 690.34 Td (-)Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 6.96 Tf -0.12 Tc 147.74 690.34 Td (10)Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 154.34 685.3 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 157.7 685.3 Td [(m)39.004 (\))17.998 ( )-42.002 (a)20 (r)7.002 (o)22.002 (u)21.993 (n)22.002 (d)22.002 ( )-42.002 (t)17.002 (h)22.002 (e)20 ( )-42.002 (p)22.002 (r)17.998 (o)22.002 (t)17.002 (o)21.993 (n)11.005 (.)22.002 ( )-42.002 (T)12.998 (h)22.002 (e)20 ( )-42.002 (a)20 (t)17.002 (o)10.996 (m)39.004 ( )-42.002 (i)5.996 (s)19.004 ( )-42.002 (p)22.002 (l)17.002 (a)20 (c)20 (e)20 (d)22.002 ( )-42.002 (i)17.002 (n)21.993 ( )-41.993 (a)20 ( )-42.002 (u)22.002 (n)21.993 (i)17.002 (f)17.998 (o)22.002 (r)7.002 (m)27.998 ( )-42.002 (e)20 (l)17.002 (e)20 (c)20 (t)17.002 (r)17.998 (i)17.002 (c)20 ( )-42.002 (f)17.998 (i)17.002 (e)20 (l)17.002 (d)22.002 ( )]TJ ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT2 11.04 Tf 453.1 685.3 Td (E)Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 459.58 685.3 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 462.82 685.3 Td [(=)20.996 ( )-41.993 (3)21.993 (0)22.002 ( )]TJ ET Q q 53.52 656.14 486.1 80.16 re W* n BT /C0_0 11.04 Tf 485.86 685.3 Td <0075>Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 491.74 685.3 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf -0.12 Tc 494.98 685.3 Td (10)Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 6.96 Tf 505.66 690.34 Td (5)Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 508.9 685.3 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 512.14 685.3 Td [(V)15 (/)5.996 (m)28.007 (.)]TJ ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 533.86 685.3 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 59.28 672.58 Td [(A)5 (ss)-4.004 (um)17.002 (e t)-5 (hat)-5 ( )11.005 (t)-4.004 (he )9.004 (sphe)6.993 (r)-2.998 (i)6.005 (ca)7.998 (l)-4.004 ( d)11.005 (i)-4.004 (st)4.004 (r)-3.007 (i)6.005 (but)5.996 (i)-3.995 (on o)10.996 (f)-2.998 ( t)5.996 (he ne)-2.002 (g)11.005 (at)5 (i)-4.013 (v)11.005 (e c)7.998 (har)-5 (g)10.996 (e r)-5 (em)15 (ai)-5 (ns )9.004 (undi)5.996 (st)-5.996 (o)10.996 (r)-2.998 (t)5.996 (ed u)9.004 (nder)-5 ( )10.996 (t)-3.995 (he )8.995 (el)-5 (e)9.004 (ct)5 (r)-2.998 (i)5.996 (c f)5 (i)-3.995 (e)8.995 (l)-3.995 (d. )]TJ ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 9.96 Tf 523.66 672.58 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 12 Tf 59.28 659.14 Td ( )Tj ET Q q 53.52 656.14 486.1 80.16 re W* n BT /TT0 11.04 Tf 62.28 659.14 Td ( )Tj ET Q Q q 53.52 608.98 33.984 39.96 re W* n q 53.52 608.98 33.984 39.96 re W* n BT /TT0 11.04 Tf 58.92 638.98 Td [(Q)5 (.52)]TJ ET Q q 53.52 608.98 33.984 39.96 re W* n BT /TT3 11.04 Tf 80.664 638.98 Td ( )Tj ET Q q 53.52 608.98 33.984 39.96 re W* n BT /TT0 11.04 Tf 94.944 638.98 Td (\()Tj ET Q q 53.52 608.98 33.984 39.96 re W* n BT /TT0 11.04 Tf 98.664 638.98 Td ( )Tj ET Q Q q 87.504 622.54 452.11 26.4 re W* n q 87.504 622.54 452.11 26.4 re W* n BT /TT0 11.04 Tf 92.904 638.98 Td [(I)17.998 (n t)-3.995 (he e)-2.002 (qui)-4.004 (l)6.005 (i)-4.004 (b)10.996 (r)-2.998 (i)-3.995 (um)16.993 ( condi)5 (t)6.005 (i)-4.004 (o)11.005 (n, t)-4.004 (he )9.004 (se)-3.007 (p)11.005 (ar)-5 (a)8.995 (t)-3.995 (i)5.987 (on be)9.013 (t)-4.013 (w)5 (ee)-2.002 (n )11.005 (t)5.996 (he pos)7.002 (i)-4.004 (t)6.005 (i)-4.004 (v)11.005 (e a)-2.002 (nd )10.996 (t)-3.995 (he n)8.995 (eg)9.004 (at)-5 (i)-4.004 (v)11.005 (e)8.995 ( cha)-2.002 (r)-2.998 (g)11.005 (e c)7.998 (ent)5 (er)-5 (s )8.995 (i)-3.995 (s)]TJ ET Q q 87.504 622.54 452.11 26.4 re W* n BT /TT0 11.04 Tf 527.62 638.98 Td ( )Tj ET Q q 87.504 622.54 452.11 26.4 re W* n BT /TT0 12 Tf 92.904 625.54 Td ( )Tj ET Q q 87.504 622.54 452.11 26.4 re W* n BT /TT0 11.04 Tf 95.904 625.54 Td ( )Tj ET Q Q q 87.504 608.98 106.22 13.56 re W* n q 87.504 608.98 106.22 13.56 re W* n BT /TT0 11.04 Tf 92.904 611.74 Td [(\()-2.998 (A)5 (\))-2.998 ( 8.66 )]TJ ET Q q 87.504 608.98 106.22 13.56 re W* n BT /C0_0 11.04 Tf 132.98 611.74 Td <0075>Tj ET Q q 87.504 608.98 106.22 13.56 re W* n BT /TT0 11.04 Tf 139.1 611.74 Td ( )Tj ET Q q 87.504 608.98 106.22 13.56 re W* n BT /TT0 11.04 Tf -0.12 Tc 141.86 611.74 Td (10)Tj ET Q q 87.504 608.98 106.22 13.56 re W* n BT /TT0 6.96 Tf 152.78 616.78 Td (-)Tj ET Q q 87.504 608.98 106.22 13.56 re W* n BT /TT0 6.96 Tf 155.06 616.78 Td (16)Tj ET Q q 87.504 608.98 106.22 13.56 re W* n BT /TT0 11.04 Tf 162.02 611.74 Td ( )Tj ET Q q 87.504 608.98 106.22 13.56 re W* n BT /TT0 11.04 Tf 164.78 611.74 Td (m)Tj ET Q q 87.504 608.98 106.22 13.56 re W* n BT /TT0 11.04 Tf 173.3 611.74 Td ( )Tj ET Q Q q 193.73 608.98 106.32 13.56 re W* n q 193.73 608.98 106.32 13.56 re W* n BT /TT0 11.04 Tf 0.0437 Tc 199.13 611.74 Td (\(B)Tj ET Q q 193.73 608.98 106.32 13.56 re W* n BT /TT0 11.04 Tf 210.17 611.74 Td [(\))-2.998 ( 2.60)10.996 ( )]TJ ET Q q 193.73 608.98 106.32 13.56 re W* n BT /C0_0 11.04 Tf 238.61 611.74 Td <0075>Tj ET Q q 193.73 608.98 106.32 13.56 re W* n BT /TT0 11.04 Tf 244.73 611.74 Td ( )Tj ET Q q 193.73 608.98 106.32 13.56 re W* n BT /TT0 11.04 Tf -0.12 Tc 247.49 611.74 Td (10)Tj ET Q q 193.73 608.98 106.32 13.56 re W* n BT /TT0 6.96 Tf 258.41 616.78 Td (-)Tj ET Q q 193.73 608.98 106.32 13.56 re W* n BT /TT0 6.96 Tf 260.69 616.78 Td (15)Tj ET Q q 193.73 608.98 106.32 13.56 re W* n BT /TT0 11.04 Tf 267.65 611.74 Td ( )Tj ET Q q 193.73 608.98 106.32 13.56 re W* n BT /TT0 11.04 Tf 270.41 611.74 Td (m)Tj ET Q q 193.73 608.98 106.32 13.56 re W* n BT /TT0 11.04 Tf 278.93 611.74 Td ( )Tj ET Q Q q 300.05 608.98 106.22 13.56 re W* n q 300.05 608.98 106.22 13.56 re W* n BT /TT0 11.04 Tf 305.45 611.74 Td [(\()-2.998 (C)3.995 (\))-2.998 ( 2.60)11.005 ( )]TJ ET Q q 300.05 608.98 106.22 13.56 re W* n BT /C0_0 11.04 Tf 344.95 611.74 Td <0075>Tj ET Q q 300.05 608.98 106.22 13.56 re W* n BT /TT0 11.04 Tf 351.07 611.74 Td ( )Tj ET Q q 300.05 608.98 106.22 13.56 re W* n BT /TT0 11.04 Tf -0.12 Tc 353.83 611.74 Td (10)Tj ET Q q 300.05 608.98 106.22 13.56 re W* n BT /TT0 6.96 Tf 364.75 616.78 Td (-)Tj ET Q q 300.05 608.98 106.22 13.56 re W* n BT /TT0 6.96 Tf 367.03 616.78 Td (16)Tj ET Q q 300.05 608.98 106.22 13.56 re W* n BT /TT0 11.04 Tf 373.99 611.74 Td ( )Tj ET Q q 300.05 608.98 106.22 13.56 re W* n BT /TT0 11.04 Tf 376.75 611.74 Td (m)Tj ET Q q 300.05 608.98 106.22 13.56 re W* n BT /TT0 11.04 Tf 385.27 611.74 Td ( )Tj ET Q Q q 406.27 608.98 133.34 13.56 re W* n q 406.27 608.98 133.34 13.56 re W* n BT /TT0 11.04 Tf 411.67 611.74 Td [(\()-2.998 (D)5 (\))-2.998 ( 8.66 )]TJ ET Q q 406.27 608.98 133.34 13.56 re W* n BT /C0_0 11.04 Tf 451.78 611.74 Td <0075>Tj ET Q q 406.27 608.98 133.34 13.56 re W* n BT /TT0 11.04 Tf 457.9 611.74 Td ( )Tj ET Q q 406.27 608.98 133.34 13.56 re W* n BT /TT0 11.04 Tf -0.12 Tc 460.66 611.74 Td (10)Tj ET Q q 406.27 608.98 133.34 13.56 re W* n BT /TT0 6.96 Tf 471.58 616.78 Td (-)Tj ET Q q 406.27 608.98 133.34 13.56 re W* n BT /TT0 6.96 Tf 473.86 616.78 Td (15)Tj ET Q q 406.27 608.98 133.34 13.56 re W* n BT /TT0 11.04 Tf 480.82 611.74 Td ( )Tj ET Q q 406.27 608.98 133.34 13.56 re W* n BT /TT0 11.04 Tf 483.58 611.74 Td (m)Tj ET Q q 406.27 608.98 133.34 13.56 re W* n BT /TT0 11.04 Tf 492.1 611.74 Td ( )Tj ET Q Q BT /TT0 12 Tf 53.88 598.18 Td ( )Tj /TT0 11.04 Tf 1 0 0 1 56.88 598.18 Tm ( )Tj ET q 53.88 561.91 33.984 33.264 re W* n q 53.88 561.91 33.984 33.264 re W* n BT 59.28 585.22 Td [(Q)5 (.53)]TJ ET Q q 53.88 561.91 33.984 33.264 re W* n BT /TT3 11.04 Tf 81.024 585.22 Td ( )Tj ET Q q 53.88 561.91 33.984 33.264 re W* n BT 95.304 585.22 Td ( )Tj ET Q q 53.88 561.91 33.984 33.264 re W* n BT 98.064 585.22 Td ( )Tj ET Q Q q 87.864 582.58 452.11 12.6 re W* n q 87.864 582.58 452.11 12.6 re W* n BT 93.624 585.22 Td [(T)-7.998 (he)8.995 ( pol)6.005 (ar)5 (i)-4.004 (z)9.004 (abi)5 (l)-4.004 (i)6.005 (t)-4.004 (y)10.996 ( of)-2.998 ( t)-3.995 (h)10.996 (e hy)9.004 (dr)-3.007 (og)11.005 (en a)-2.002 (t)5.996 (om)17.002 ( i)-3.995 (n uni)-4.004 (t)5.996 ( of)-2.998 ( )11.005 (\()-3.007 (C)]TJ ET Q q 87.864 582.58 452.11 12.6 re W* n BT /TT0 6.96 Tf 326.23 590.26 Td (2)Tj ET Q q 87.864 582.58 452.11 12.6 re W* n BT 329.71 585.22 Td [(m)17.002 (/)-4.004 (N)5 (\))-2.998 ( i)-4.004 (s)]TJ ET Q q 87.864 582.58 452.11 12.6 re W* n BT 363.07 585.22 Td ( )Tj ET Q Q q 87.864 561.91 106.22 13.464 re W* n q 87.864 561.91 106.22 13.464 re W* n BT 93.264 564.55 Td [(\()-2.998 (A)5 (\))-2.998 ( 2.0 )]TJ ET Q q 87.864 561.91 106.22 13.464 re W* n BT /C0_0 11.04 Tf 127.82 564.55 Td <0075>Tj ET Q q 87.864 561.91 106.22 13.464 re W* n BT 133.94 564.55 Td <20>Tj ET Q q 87.864 561.91 106.22 13.464 re W* n BT 136.7 564.55 Td <3130>Tj ET Q q 87.864 561.91 106.22 13.464 re W* n BT /TT0 6.96 Tf 147.74 569.59 Td (-)Tj ET Q q 87.864 561.91 106.22 13.464 re W* n BT /TT0 6.96 Tf 150.02 569.59 Td (40)Tj ET Q q 87.864 561.91 106.22 13.464 re W* n BT /TT0 9.96 Tf 156.86 564.55 Td ( )Tj ET Q Q q 194.09 561.91 106.32 13.464 re W* n q 194.09 561.91 106.32 13.464 re W* n BT 199.49 564.55 Td [(\()-2.998 (B)3.995 (\))-2.998 ( 1.4 )]TJ ET Q q 194.09 561.91 106.32 13.464 re W* n BT /C0_0 11.04 Tf 233.45 564.55 Td <0075>Tj ET Q q 194.09 561.91 106.32 13.464 re W* n BT 239.57 564.55 Td <20>Tj ET Q q 194.09 561.91 106.32 13.464 re W* n BT 242.33 564.55 Td <3130>Tj ET Q q 194.09 561.91 106.32 13.464 re W* n BT /TT0 6.96 Tf 253.37 569.59 Td (-)Tj ET Q q 194.09 561.91 106.32 13.464 re W* n BT /TT0 6.96 Tf 255.65 569.59 Td (41)Tj ET Q q 194.09 561.91 106.32 13.464 re W* n BT /TT0 9.96 Tf 262.49 564.55 Td ( )Tj ET Q Q q 300.41 561.91 106.22 13.464 re W* n q 300.41 561.91 106.22 13.464 re W* n BT 305.69 564.55 Td [(\()-2.998 (C)3.995 (\))-2.998 ( 1.4 )]TJ ET Q q 300.41 561.91 106.22 13.464 re W* n BT /C0_0 11.04 Tf 342.43 564.55 Td <0075>Tj ET Q q 300.41 561.91 106.22 13.464 re W* n BT 348.55 564.55 Td <20>Tj ET Q q 300.41 561.91 106.22 13.464 re W* n BT -0.12 Tc 351.31 564.55 Td <3130>Tj ET Q q 300.41 561.91 106.22 13.464 re W* n BT /TT0 6.96 Tf 362.23 569.59 Td (-)Tj ET Q q 300.41 561.91 106.22 13.464 re W* n BT /TT0 6.96 Tf 364.51 569.59 Td (40)Tj ET Q q 300.41 561.91 106.22 13.464 re W* n BT /TT0 9.96 Tf 371.47 564.55 Td ( )Tj ET Q Q q 406.63 561.91 133.34 13.464 re W* n q 406.63 561.91 133.34 13.464 re W* n BT 412.03 564.55 Td [(\()-2.998 (D)5 (\))-2.998 ( 2.0 )]TJ ET Q q 406.63 561.91 133.34 13.464 re W* n BT /C0_0 11.04 Tf 449.38 564.55 Td <0075>Tj ET Q q 406.63 561.91 133.34 13.464 re W* n BT 455.5 564.55 Td <20>Tj ET Q q 406.63 561.91 133.34 13.464 re W* n BT 458.26 564.55 Td <3130>Tj ET Q q 406.63 561.91 133.34 13.464 re W* n BT /TT0 6.96 Tf 469.3 569.59 Td (-)Tj ET Q q 406.63 561.91 133.34 13.464 re W* n BT /TT0 6.96 Tf 471.58 569.59 Td (39)Tj ET Q q 406.63 561.91 133.34 13.464 re W* n BT /TT0 9.96 Tf 478.42 564.55 Td ( )Tj ET Q Q BT 53.88 551.95 Td ( )Tj /TT0 9.96 Tf 1 0 0 1 56.64 551.95 Tm ( )Tj ET q 53.52 365.09 486.1 184.1 re W* n q 53.52 365.09 486.1 184.1 re W* n BT /TT1 12 Tf 59.28 538.15 Td [(S)-3 (tat)6 (e)-5 (m)13 (e)4 (n)-3 (t f)-3 (or)4 ( L)-2 (in)-5 (k)-3 (e)4 (d)-3 ( Answ)-10 (e)4 (r)4 ( Qu)-5 (e)4 (stion)-3 (s 54 an)5 (d)6 ( 55:)]TJ ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 12 Tf 321.67 538.15 Td ( )Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 327.67 538.15 Td ( )Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 12 Tf 59.28 524.59 Td ( )Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 62.28 524.59 Td ( )Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 59.28 508.63 Td [(A)5 ( )-10 (par)5 (t)-4.004 (i)-3.995 (c)]TJ ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 95.184 508.63 Td [(l)-4.004 (e of)-5 ( )-10 (m)17.002 (as)-2.998 (s )]TJ ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT2 11.04 Tf 142.94 508.63 Td (m)Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 150.86 508.63 Td ( )Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 153.62 508.63 Td [(sl)4.004 (i)-4.004 (des)7.002 ( under)5 ( )-10 (t)-4.004 (h)11.005 (e )-12.002 (g)10.996 (r)-2.998 (av)9.004 (i)-4.004 (t)-4.004 (y)11.005 ( )-10 (w)5 (i)-4.004 (t)-3.995 (ho)10.996 (ut)-4.004 ( f)-2.998 (r)7.002 (i)-4.004 (ct)5 (i)-3.995 (on al)-5 (o)10.987 (ng)11.005 ( )-10 (t)-4.004 (he )-12.002 (p)11.005 (ar)5 (abol)5 (i)-4.004 (c p)9.004 (at)-5 (h )]TJ ET Q q 0.53194 0 0 0.25 440.56 503.58 cm /TT0 9.96 Tf 0 TL/Fm0 Do Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 478.9 508.63 Td ( )Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 481.78 508.63 Td [(as)-2.998 ( shown in)8.995 ( )]TJ ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 59.28 493.63 Td [(t)-4.004 (he )9.004 (f)-2.998 (i)-4.004 (g)11.005 (ur)-3.007 (e. He)12.002 (r)-2.998 (e )]TJ ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT2 11.04 Tf 131.54 493.63 Td (a)Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 136.94 493.63 Td ( )Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 139.7 493.63 Td [(i)-4.004 (s)9.004 ( a c)-2.002 (o)11.005 (nst)3.995 (ant)-5 (.)]TJ ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 196.85 493.63 Td ( )Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 12 Tf 59.28 365.09 Td ( \ )Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 12 Tf 419.47 365.09 Td ( )Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 12 Tf 431.47 365.09 Td ( )Tj ET Q q 53.52 365.09 486.1 184.1 re W* n BT /TT0 11.04 Tf 443.47 365.09 Td ( )Tj ET Q Q q 53.52 271.01 33.984 86.88 re W* n q 53.52 271.01 33.984 86.88 re W* n BT /TT0 11.04 Tf 58.92 347.93 Td [(Q)5 (.54)]TJ ET Q q 53.52 271.01 33.984 86.88 re W* n BT /TT3 11.04 Tf 80.664 347.93 Td ( )Tj ET Q q 53.52 271.01 33.984 86.88 re W* n BT /TT0 11.04 Tf 94.944 347.93 Td ( )Tj ET Q q 53.52 271.01 33.984 86.88 re W* n BT /TT0 11.04 Tf 97.704 347.93 Td ( )Tj ET Q Q q 87.504 332.57 452.11 25.32 re W* n q 87.504 332.57 452.11 25.32 re W* n BT /TT0 11.04 Tf 92.904 347.93 Td [(T)-7.998 (he)8.995 ( Lag)12.002 (r)-2.998 (ang)9.004 (i)-4.004 (an )9.004 (f)-3.007 (or)-2.998 ( )11.005 (t)-4.004 (h)10.996 (i)-3.995 (s p)8.995 (ar)5 (t)-3.995 (i)-4.004 (c)9.004 (l)-4.004 (e )9.004 (i)-4.004 (s g)9.004 (i)-4.004 (v)11.005 (en by)8.995 (,)]TJ ET Q q 87.504 332.57 452.11 25.32 re W* n BT 286.61 347.93 Td ( )Tj ET Q q 87.504 332.57 452.11 25.32 re W* n BT /TT0 12 Tf 92.904 335.21 Td ( )Tj ET Q q 87.504 332.57 452.11 25.32 re W* n BT /TT0 11.04 Tf 95.904 335.21 Td ( )Tj ET Q Q q 87.504 301.73 212.54 30.84 re W* n q 87.504 301.73 212.54 30.84 re W* n BT /TT0 11.04 Tf 92.904 313.85 Td [(\()-2.998 (A)5 (\))-2.998 ( )]TJ ET Q q 1.2812 0 0 0.42639 110.96 301.88 cm /TT0 9.96 Tf 0 TL/Fm1 Do Q q 87.504 301.73 212.54 30.84 re W* n BT 203.21 313.85 Td ( )Tj ET Q Q q 300.05 301.73 239.57 30.84 re W* n q 300.05 301.73 239.57 30.84 re W* n BT /TT0 11.04 Tf 305.45 313.85 Td [(\()-2.998 (B)3.995 (\))-2.998 ( )]TJ ET Q q 2 0 0 0.42639 322.86 301.88 cm /TT0 9.96 Tf 0 TL/Fm2 Do Q q 300.05 301.73 239.57 30.84 re W* n BT 466.9 313.85 Td ( )Tj ET Q Q q 87.504 271.01 212.54 30.72 re W* n q 87.504 271.01 212.54 30.72 re W* n BT /TT0 11.04 Tf 92.904 283.01 Td [(\()-2.998 (C)3.995 (\))-2.998 ( )]TJ ET Q q 1.2917 0 0 0.42639 110.36 271.03 cm /TT0 9.96 Tf 0 TL/Fm3 Do Q q 87.504 271.01 212.54 30.72 re W* n BT 203.33 283.01 Td ( )Tj ET Q Q q 300.05 271.01 239.57 30.72 re W* n q 300.05 271.01 239.57 30.72 re W* n BT /TT0 11.04 Tf 305.45 283.01 Td [(\()-2.998 (D)5 (\))-2.998 ( )]TJ ET Q q 2.0097 0 0 0.42639 323.46 271.03 cm /TT0 9.96 Tf 0 TL/Fm4 Do Q q 300.05 271.01 239.57 30.72 re W* n BT 468.22 283.01 Td ( )Tj ET Q Q BT /TT0 11.04 Tf 53.88 261.05 Td ( )Tj /TT0 9.96 Tf 1 0 0 1 56.64 261.05 Tm ( )Tj ET q 53.88 201.62 33.984 56.784 re W* n q 53.88 201.62 33.984 56.784 re W* n BT /TT0 11.04 Tf 59.28 248.45 Td [(Q)5 (.55)]TJ ET Q q 53.88 201.62 33.984 56.784 re W* n BT /TT3 11.04 Tf 81.024 248.45 Td ( )Tj ET Q q 53.88 201.62 33.984 56.784 re W* n BT /TT0 11.04 Tf 95.304 248.45 Td ( )Tj ET Q q 53.88 201.62 33.984 56.784 re W* n BT /TT0 11.04 Tf 98.064 248.45 Td ( )Tj ET Q Q q 87.864 244.85 452.11 13.56 re W* n q 87.864 244.85 452.11 13.56 re W* n BT /TT0 11.04 Tf 93.624 247.61 Td [(T)-7.998 (he)8.995 ( Lag)12.002 (r)-2.998 (ang)9.004 (e)]TJ ET Q q 87.864 244.85 452.11 13.56 re W* n BT /C0_0 11.04 Tf 155.06 247.61 Td <0063>Tj ET Q q 87.864 244.85 452.11 13.56 re W* n BT /TT0 11.04 Tf 157.82 247.61 Td [(s )9.004 (equa)7.998 (t)-4.004 (i)-3.995 (o)10.996 (n of)7.002 ( m)17.002 (ot)-4.004 (i)-4.004 (on of)-2.998 ( )11.005 (t)-4.004 (he p)9.004 (ar)5 (t)-4.004 (i)5.996 (cl)-5 (e )9.004 (i)-4.004 (s)]TJ ET Q q 87.864 244.85 452.11 13.56 re W* n BT /TT0 11.04 Tf 322.51 247.61 Td ( )Tj ET Q Q q 87.864 219.65 212.54 18 re W* n q 87.864 219.65 212.54 18 re W* n BT /TT0 11.04 Tf 93.264 226.97 Td [(\()-2.998 (A)5 (\))-2.998 ( )]TJ ET Q q 0.63472 0 0 0.21875 111.31 221.93 cm /TT0 9.96 Tf 0 TL/Fm5 Do Q q 87.864 219.65 212.54 18 re W* n BT /TT0 11.04 Tf 156.98 226.97 Td ( )Tj ET Q Q q 300.41 219.65 239.57 18 re W* n q 300.41 219.65 239.57 18 re W* n BT /TT0 11.04 Tf 305.69 224.69 Td [(\()-2.998 (B)3.995 (\))-2.998 ( )]TJ ET Q q 2.3868 0 0 0.25 323.11 219.68 cm /TT0 9.96 Tf 0 TL/Fm6 Do Q q 300.41 219.65 239.57 18 re W* n BT /TT0 11.04 Tf 494.98 224.69 Td ( )Tj ET Q Q q 87.864 201.62 212.54 18.024 re W* n q 87.864 201.62 212.54 18.024 re W* n BT /TT0 11.04 Tf 93.264 206.66 Td [(\()-2.998 (C)3.995 (\))-2.998 ( )]TJ ET Q q 2.3014 0 0 0.25 110.71 201.68 cm /TT0 9.96 Tf 0 TL/Fm7 Do Q q 87.864 201.62 212.54 18.024 re W* n BT /TT0 11.04 Tf 276.41 206.66 Td ( )Tj ET Q Q q 300.41 201.62 239.57 18.024 re W* n q 300.41 201.62 239.57 18.024 re W* n BT /TT0 11.04 Tf 305.69 208.94 Td [(\()-2.998 (D)5 (\))-2.998 ( )]TJ ET Q q 0.73958 0 0 0.21875 323.71 203.93 cm /TT0 9.96 Tf 0 TL/Fm8 Do Q q 300.41 201.62 239.57 18.024 re W* n BT /TT0 11.04 Tf 376.99 208.94 Td ( )Tj ET Q Q BT /TT0 12 Tf 53.88 190.82 Td ( )Tj /TT0 11.04 Tf 1 0 0 1 56.88 190.82 Tm ( )Tj /TT1 12.96 Tf -3 -21.12 Td ( )Tj 1 0 0 1 57.12 169.7 Tm ( )Tj ET q 1 0 0 1 213.09 466.72 cm 1 j 0 0 m -0.92 -30.47 17.33 -55.75 40.77 -56.46 c S Q q 1 0 0 1 296.35 465.34 cm 1 j 0 0 m 0 -30.51 -18.96 -55.25 -42.35 -55.25 c S Q q 1 0 0 1 254.85 479.14 cm 0 0 m 0 -91.65 l 0 -91.93 -0.22 -92.15 -0.5 -92.15 c -0.78 -92.15 -1 -91.93 -1 -91.65 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 1 220.7 410.24 cm 0 0 m 85.85 -0.05 l 86.13 -0.05 86.35 -0.27 86.35 -0.55 c 86.35 -0.82 86.13 -1.05 85.85 -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 84.85 2.45 m 90.85 -0.55 l 84.85 -3.55 l h f Q q 254.45 470.11 26.04 17.28 re W* n q 254.45 470.11 26.04 17.28 re W* n BT /TT2 12 Tf 261.65 476.23 Td (y)Tj ET Q q 254.45 470.11 26.04 17.28 re W* n BT /TT2 12 Tf 266.93 476.23 Td ( )Tj ET Q Q q 293.45 382.37 26.784 22.224 re W* n q 293.45 382.37 26.784 22.224 re W* n BT /TT2 12 Tf 300.65 393.41 Td (x)Tj ET Q q 293.45 382.37 26.784 22.224 re W* n BT /TT2 12 Tf 305.93 393.41 Td ( )Tj ET Q Q q 1 0 0 1 287.63 442.69 cm 0 0 m -1.68 0 -3.03 -1.54 -3.03 -3.45 c -3.03 -5.36 -1.68 -6.9 0 -6.9 c 1.67 -6.9 3.02 -5.36 3.02 -3.45 c 3.02 -1.54 1.67 0 0 0 c h f* Q q 1 0 0 1 287.63 442.69 cm 0.75 w 1 j 1 J 0 0 m -1.68 0 -3.03 -1.54 -3.03 -3.45 c -3.03 -5.36 -1.68 -6.9 0 -6.9 c 1.67 -6.9 3.02 -5.36 3.02 -3.45 c 3.02 -1.54 1.67 0 0 0 c h S Q q 1 0 0 1 282.43 432.65 cm 0 0 m 0 0 l 0.17 0.22 0.49 0.26 0.71 0.09 c 0.92 -0.08 0.96 -0.4 0.79 -0.62 c 0.79 -0.62 l 0.62 -0.83 0.31 -0.87 0.09 -0.7 c -0.13 -0.53 -0.17 -0.22 0 0 c h 1.26 1.56 m 1.26 1.56 l 1.43 1.78 1.74 1.82 1.96 1.65 c 2.18 1.48 2.22 1.16 2.05 0.95 c 2.05 0.94 l 1.88 0.73 1.56 0.69 1.34 0.86 c 1.13 1.03 1.09 1.34 1.26 1.56 c h 2.51 3.12 m 2.51 3.12 l 2.68 3.34 2.99 3.38 3.21 3.21 c 3.43 3.04 3.47 2.72 3.3 2.51 c 3.3 2.51 l 3.13 2.29 2.81 2.25 2.6 2.42 c 2.38 2.59 2.34 2.9 2.51 3.12 c h 3.76 4.68 m 3.76 4.68 l 3.93 4.9 4.24 4.94 4.46 4.77 c 4.68 4.6 4.72 4.29 4.55 4.07 c 4.55 4.07 l 4.38 3.85 4.07 3.81 3.85 3.98 c 3.63 4.15 3.59 4.46 3.76 4.68 c h 3.36 -1.41 m -2.73 -4.21 l -1.32 2.35 l h f Q q 288.65 418.63 29.784 20.4 re W* n q 288.65 418.63 29.784 20.4 re W* n BT /TT2 12 Tf 295.85 427.87 Td (m)Tj ET Q q 288.65 418.63 29.784 20.4 re W* n BT /TT2 12 Tf 304.49 427.87 Td ( )Tj ET Q Q q 1 0 0 1 259.75 404.74 cm 0 0 m 0 -12.25 l 0 -12.53 -0.22 -12.75 -0.5 -12.75 c -0.78 -12.75 -1 -12.53 -1 -12.25 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 -11.25 m -0.5 -17.25 l -3.5 -11.25 l h f Q q 256.85 377.57 34.32 18.72 re W* n q 256.85 377.57 34.32 18.72 re W* n BT /TT0 8.04 Tf 264.05 383.57 Td ( )Tj ET Q Q q 1 0 0 1 283.65 433.15 cm 0.75 w 1 j 1 J 0 0 m 6.05 6.68 l S Q 2012 PHYSICS - PH PH 14/20 General Aptitude (GA) Questions Q. 56 - Q. 60 carry one mark each.

Q52 NAT • 2M

Nuclear & Particle Physics

Question 52 from official GATE PH 2012 Examination.

Q53 NAT • 2M

Nuclear & Particle Physics

Question 53 from official GATE PH 2012 Examination.

Q54 NAT • 2M

Nuclear & Particle Physics

Question 54 from official GATE PH 2012 Examination.

Q55 NAT • 2M

Nuclear & Particle Physics

Question 55 from official GATE PH 2012 Examination.

Q56 MCQ • 2M

Nuclear & Particle Physics

Choose the grammatically INCORRECT sentence:

Q57 NAT • 2M

Nuclear & Particle Physics

Which one of the following options is the closest in meaning to the word given below? Mitigate (A) Diminish (B) Divulge (C) Dedicate (D) Denote

Q58 NAT • 2M

Nuclear & Particle Physics

Choose the most appropriate alternative from th e options given below to complete the following sentence: Despite several --------- the mission succeeded in its attempt to resolve the conflict. (A) attempts (B) setbacks (C) meetings (D) delegations

Q59 NAT • 2M

Nuclear & Particle Physics

The cost function for a product in a firm is gi ven by 5q2, where q is the amount of production. The firm can sell the product at a market price of 50 per unit. The number of units to be produced by the firm such that the profit is maximized is (A) 5 (B) 10 (C) 15 (D) 25

Q60 NAT • 2M

Nuclear & Particle Physics

Choose the most appropriate alternative from the options given below to complete the following sentence: Suresh's dog is the one --------- was hurt in the stampede. (A) that (B) which (C) who (D) whom Q. 61 - Q. 65 carry two marks each.

Q61 NAT • 2M

Nuclear & Particle Physics

Which of the following assertions are CORRECT? P: Adding 7 to each entry in a list adds 7 to the mean of the list Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the list S: Doubling each entry in a list leaves the standard deviation of the list unchanged (A) P, Q (B) Q, R (C) P, R (D) R, S 2012 PHYSICS - PH PH 15/20

Q62 NAT • 2M

Nuclear & Particle Physics

An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplie s 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X's shock absorbers, 96% are reliable. Of Y's shock absorbers, 72% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is (A) 0.288 (B) 0.334 (C) 0.667 (D) 0.720

Q63 NAT • 2M

Nuclear & Particle Physics

A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x - 0.1x2 where y is the height of the arch in meters. The maximum possible height of the arch is (A) 8 meters (B) 10 meters (C) 12 meters (D) 14 meters

Q64 MCQ • 2M

Nuclear & Particle Physics

Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School -pass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed. Which one of the following is the best inference from the above advertisement?

Q65 NAT • 2M

Nuclear & Particle Physics

Given the sequence of terms, AD CG FK JP, the next term is (A) OV (B) OW (C) PV (D) PW END OF THE QUESTION PAPER Paper Question no. Key Paper Question no. Key PH 1A PH 41 B PH 2C PH 42 B PH 3A PH 43 C PH 4C PH 44 D PH 5 Marks to All PH 45 D PH 6A PH 46 B PH 7B PH 47 A PH 8D PH 48 C PH 9C PH 49 D PH 10 A PH 50 A PH 11 A PH 51 A PH 12 C PH 52 C PH 13 D PH 53 B PH 14 B PH 54 B PH 15 Marks to All PH 55 B PH 16 C PH 56 D PH 17 B PH 57 A PH 18 B PH 58 B PH 19 D PH 59 A PH 20 A PH 60 Marks to All PH 21 D PH 61 C PH 22 B PH 62 B PH 23 D PH 63 B PH 24 D PH 64 D PH 25 C PH 65 A PH 26 A PH 27 C PH 28 A PH 29 B PH 30 C PH 31 D PH 32 A PH 33 B PH 34 A PH 35 D PH 36 C PH 37 A PH 38 C PH 39 B PH 40 D GATE 2012 ‐ Answer Key ‐ Paper : PH