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-2

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-3

Which of the following is not a vector quantity?

(A)

Speed

(B)

Velocity

(C)

Torque

(D)

Displacement

Question-4

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-5

The position vector of a particle, is . The velocity of the particle is

(A)

directed towards the origin

(B)

directed away from the origin

(C)

parallel to the position vector

(D)

perpendicular to the position vector

Question-6

The resultant of × 0 will be equal to

(A)

zero

(B)

A

(C)

zero vector

(D)

unit vector

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

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-9

A boat is sent across a river with a velocity of 8 km h^{-1}. If the resultant velocity of boat is 10 km h^{-1} , then velocity of river is

(A)

12.8 km h^{-1}

(B)

6 km h^{-1}

(C)

8 km h^{-1}

(D)

10 km h^{-1}

Question-10

Two bodies of same mass are projected with the same velocity at an angle 30° and 60° respectively. The ratio of their horizontal ranges will be

(A)

1 : 1

(B)

1 : 2

(C)

1 : 3

(D)

1 : √2

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