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An electric fan has blades of length 30 cm measured from the axis of rotation. If the fan is rotating at 120 rev/min, the acceleration of a point on the tip of the blade is

(A)

1600 ms^{-2}

(B)

47.4 ms^{-2}

(C)

23.7 ms^{-2}

(D)

50.55 ms^{-2}

Question-2

When a body moves with a constant speed along a circle

(A)

its velocity remains constant

(B)

no force acts on it

(C)

no work is done on it

(D)

no acceleration is produced it

Question-3

A bus is moving on a straight road towards north with a uniform speed of 50 km/h. If the speed remains unchanged after turning through 90°, the increase in the velocity of bus in the turning process is

(A)

7.07 km/h along south-west direction

(B)

zero

(C)

50 km/h along west

(D)

70.7 km/h along north-west direction

Question-4

The vector sum of two forces is perpendicular to their vector differences. In that case, the forces

(A)

are not equal to each other in magnitude

(B)

cannot be predicted

(C)

are equal to each other

(D)

are equal to each other in magnitude

Question-5

A bullet is fired from a gun with a speed of 100 m/s in order to hit a target 100m away. At what height above the target should the gun be aimed? (The resistance of air is negligible and g = 10 m/s^{2})

(A)

5 cm

(B)

10 cm

(C)

15 cm

(D)

20 cm

Question-6

The angle between the two vectors will be

(A)

0°

(B)

45°

(C)

90°

(D)

180°

Question-7

A body is whirled in a horizontal circle of radius 20 cm. It has an angular velocity of 10 rad/s. What is its linear velocity at any point on circular path?

(A)

√2 m/s

(B)

2 m/s

(C)

10 m/s

(D)

20 m/s

Question-8

A particle moves along a circle of radius with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begun, the tangential acceleration is

(A)

160 π m/s^{2}

(B)

40 m/s^{2}

(C)

40 π m/s^{2}

(D)

640 π m/s^{2}

Question-9

The maximum range of a gun of horizontal terrain is 16 km. If g = 10 ms^{-2} , then muzzle velocity of a shell must be

(A)

160 ms^{-1}

(B)

200√2 ms^{-1}

(C)

400 ms^{-1}

(D)

800 ms^{-1}

Question-10

The angle between and is θ. The value of the triple product .( × ) is

(A)

A^{2}B

(B)

zero

(C)

A^{2}B sin θ

(D)

A^{2}B cos θ

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