1 MEASUREMENT)

1

2

3

-1

I.

2

24

2

ππ2

2T-1

2T-3

-1

3T-3

9. 2

-1

-2

-3

10. [AIPMT-2004]

3T-2

-1 3T-2

-1 -3T-2

-3T2

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11. -3

12.

0

-1

-2

-1T0

13. 21

00)(

−εμ

hG

c32

hG

c52

hc

G

Gc

h32

lk

B

T

nq

lnq

k TB

�2

�

lk T

nqB�

�2

lq

n k TB

�2

23�

lq

nk TB

�2

�

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2 (Kinematics)

1.

z

zx

xy

y

(a) (b)

zzx

x y

y(c) (d)

2.

(a) ˆi j� (b) ˆ

2i

(c) ˆˆ2j

k � (d) ˆˆ

2i j�

3.

(a) (b) (c) (d)

4. m1 m2

h1 h2

(a) h

h1

2

(b) m h

m h1 1

2 2

(c) m

m

h

h1

2

1

2

(d) m

m1

2

5.

(a) (b) (c) (d)

6.2ˆ2 9ˆv i t j k� � �

�� t = 0.5

(a) 1m s–2 (b) 2 m s–2

(c) (d) –1 m s–2

7.

(a) 77.3 m (b) 78.4 m(c) 80.5 m (d) 79.2 m

8. v

tv – t

v

t

(a)

v

t

(b)v

t

(c)

v

t

(d)

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9.

‘t’

(a) 1 (b) 2(c) 4 (d) 0.5

10.

y

x(a) (b)

y

x

(c) (d)

y

x

y

x

11. xy

(a) +y (b) +z (c) –z (d) –x

12.

(a)

(b)

(c)

(d)

13. u

(a) u

g

2

2 (b) u

g

2

(c) u

g2 (d) 2u

g

14. 30° 60°

R300 R

600

(a) R300 = R

600

(b) R300 4

600R

(c)R300 =

R600

2(d) R

300 =2 R600

15. 50 m

2

(a) g = 20 m s–2 (b) g = 25 m s–2

(c) g = 15 m s–2 (d) g = 30 m s–2

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3 )

1.

2. m

F

F

3.

4.

5. 1< 2

6.

a)

7.

mF

Wall

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8.

1

2

1 2

1:1 1:22:1 1:3

9.

10. μs θ

mg

μs mg

μs mg sinθ

μs mg cosθ

11.

12.

13.

14.

15.

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41. (2 ˆi j)�

kj ˆˆ +ji ˆ3ˆ +

2.

(a) 1:2 2

3. -1

g ms= −10 2

(a)

4.

(a) 12

2mv mv

mv32

2mv

5.

(a) 23

2

2mv

2 2

7.

(a) 2gR

3gR

5gR

gR8.

9.

0.1

0.2

(c) 0.4

(d) 0.01

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10. 2

2xβα −

( F x�@2

2

F x� @

F x� �@

F x� �@2

2

11.

(a) v (b) v2

(c) v3 (d) v4

12. 1

2-1

-1

1

2

-1 -1

-1 -1

-1 -1

-1 -1

13. F = kx

= xx

U(x)

x x

U(x)

x

U(x)

x

U(x)

14. x-

x x = x x3

x 0≥

x

U(x)

x

U(x)

x

U(x)

x

U(x)

15.

2

3k

3

2k

k

k

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51.

(b)

(a) -2

(b) -2

(c) -2

(d) -2

2

(a)

0

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1 2

14

I I

18

I12 I

a

b

12

22I

I Ib

a b�� �G

I

I Ib

a b

22

�� �G

I I

I I

b a

a b

�� ��� �

22G

12

2I I

I Ib b

a b�� �G

θ

2 2

2 2

43

gh107

gh

2gh12

gh

vo

vo

2 vo vo

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