Question Statement:
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.