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LT 2g

LT 2g

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2h

4R

3h

4

5h

8

23h

8R

2h

4R

3h

4

5h

8

23h

8R

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2MR

32 2

2MR

16 2

24MR

9 3

24MR

3 3

R

2

GM

2R

GMR

2GM

3R

2GMR

2MR

32 2

2MR

16 2

24MR

9 3

24MR

3 3

R

2

GM

2R

GM

R

2GM

3R

2GMR

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1

Y

2

MT A1T Mg

2

M MgT 1T A

2

MT A1T Mg

2

M

T A1

T Mg

4Uu T

1 Up

3 V

1

TR

31

TR

1

Y

2

MT A1T Mg

2

M MgT 1T A

2

MT A1T Mg

2

M

T A1

T Mg

4Uu T

1 U

p3 V

1

TR

31

TR

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p

v

C

C

3 5

6

3 56

12

1

2

p

v

C

C

3 5

6

3 56

12

1

2

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0 0 03V 5V 3V, ,

2 4 4

0V

4

0 0 03V 5V 3V, ,2 4 4

0V

4

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1F→

2F→

1 2F F 0→ →

1F→

2F→

1F→

2F→

1F→

2F→

1F→

2F→

1 2F F 0→ →

1F→

2F→

1F→

2F→

1F→

2F→

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0

gLsin

cos

0

gL2sin

cos

0

gL2 tan

0

gLtan

0

gLsin

cos

0

gL2sin

cos

0

gL2 tan

0

gLtan

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1 1 1

> sin sin A sin

1 11

< sin sin A sin

1 1 1 > cos sin A sin

1 1 1

< cos sin A sin

1 1 1

> sin sin A sin

1 11

< sin sin A sin

1 1 1 > cos sin A sin

1 1 1

< cos sin A sin

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- I - II

(A) (i)

(B) (ii)

(C) (iii)

(iv)

List - I List - II

(A)Franck-Hertz

Experiment.(i)

Particle nature

of light

(B)Photo-electric

experiment.(ii)

Discrete energy

levels of atom

(C)Davison - Germer

Experiment.(iii)

Wave nature of

electron

(iv)Structure of

atom

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2MaxQ

2

MaxQ

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1

103

1

206

2309

1

412

1

103

1

206

2309

1

412

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2 22NO(g) O (g) 2NO (g)

12n (1.6 10 )

86600R (298)

l

2 22NO(g) O (g) 2NO (g)

12n (1.6 10 )

86600R (298)

l

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2A B C

1

[A]2

1

[C]2

2A B C

1

[A]2

1

[C]2

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4 2 2

4

KMnO SOCl H /Pd

BaSOToluene A B C → → →

2NaNO /HCl CuCN/KCN20 5 C

D E N → →

4 2 2

4

KMnO SOCl H /Pd

BaSOToluene A B C, → → →

2NaNO /HCl CuCN/KCN20 5 C

D E N → →

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1 21 2

2

2

z z

z z

2

10 8

9

a 2a

2a

1 21 2

2

2

z z

z z

2

10 8

9

a 2a

2a

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( )

501 2 x

( )501

3 12

( )501

32

( )501

3 12

( )501

2 12

4 4 41 2 3G 2G G

3 3 3 3 33 1 2 1 2 31....

1 1 3 1 3 5

( )50

1 2 x

( )501

3 12

( )501

32

( )501

3 12

( )501

2 12

4 4 41 2 3G 2G G

3 3 3 3 33 1 2 1 2 31....

1 1 3 1 3 5

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( )( )0

1 cos 2 3 cos

tan 4xx xlim

x x→

1

2

1 , 0 3g( ) m 2 , 3 < 5

k x x

x x x

16

5

10

3

( )( )0

1 cos 2 3 cos

tan 4xx xlim

x x→

1

2

1 , 0 3g( ) m 2 , 3 < 5

k x x

x x x

16

5

10

3

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20( )

1 3x

f xlim

x→

3 42 4d

( 1)

x

x x∫

144

4

1c

x

x

144( 1) cx

144( 1) cx

144

4

1 c

x

x

4 2

2 22

logd

log log (36 12 )

xx

x x x∫

2

0

( )1 3

x

f xlim

x→

3 42 4d

( 1)

x

x x∫

144

4

1c

x

x

144( 1) cx

144( 1) cx

144

4

1 c

x

x

4 2

2 22

logd

log log (36 12 )

xx

x x x∫

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732

5

64

15

64

9

32

d( log ) 2 log , ( 1).

d

yx x y x x x

x

732

5

64

15

64

9

32

d( log ) 2 log , ( 1)

d

yx x y x x x

x

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2

3

22

1

9 5

yx

27

4

27

2

2

3

22

19 5

yx

27

4

27

2

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1 2 2 3 4 12

yx z

2 14

3 21

a , b and c→→ →

1( a b ) c ac b

3

→ →→ → →→

b→

c→

2 2

3

23

2

3

2 3

3

1 2 2

3 4 12

yx z

2 14

3 21

a , b→→

c→

1( a b ) c ac b

3

→ →→ → →→

b→

c→

2 2

3

23

2

3

2 3

3

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1155 2

3 3

102

553

121

2203

111

22 3

3 : 1

3 : 2

1 : 3

1155 2

3 3

102

553

121

2203

111

22 3

3 : 1

3 : 2

1 : 3

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1 1 12

2tan tan tan ,

1

x y x

x

1 <3

x

3

2

3

1 3

x x

x

3

2

3

1 3

x x

x

3

2

3

1 3

x x

x

3

2

3

1 3

x x

x

1 1 12

2tan tan tan ,

1

x y x

x

1 <3

x

3

2

3

1 3

x x

x

3

2

3

1 3

x x

x

3

2

3

1 3

x x

x

3

2

3

1 3

x x

x

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04 apr 2015 a

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