A river is flowing from W to E with a speed of 5 m/min. A man can swim in still water with a velocity 10 m/min. In which direction should the man swim so as to take the shortest possible path to go to the south.

(1) 30° with downstream

(2) 60° with downstream

(3) 120° with downstream

(4) South

Concept Questions :-

Relative motion
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A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is

(1) East-north direction

(2) West-north direction

(3) South-east direction

(4) None of these

Concept Questions :-

Relative motion
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If the body is moving in a circle of radius r with a constant speed v, its angular velocity is

(1) v2/r

(2) vr

(3) v/r

(4) r/v

Concept Questions :-

Circular motion
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Two racing cars of masses m1 and m2 are moving in circles of radii r1 and r2 respectively. Their speeds are such that each makes a complete circle in the same duration of time t. The ratio of the angular speed of the first to the second car is

(1) m1 : m2

(2) r1 : r2

(3) 1 : 1

(4) m1 r1 : m2 r2

Concept Questions :-

Circular motion
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If a particle moves in a circle describing equal angles in equal times, its velocity vector

(1) Remains constant

(2) Changes in magnitude

(3) Changes in direction

(4) Changes both in magnitude and direction

Concept Questions :-

Circular motion
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A motor cyclist going round in a circular track at constant speed has

(1) Constant linear velocity

(2) Constant acceleration

(3) Constant angular velocity

(4) Constant force

Concept Questions :-

Circular motion
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A particle P is moving in a circle of radius ‘a’ with a uniform speed v. C is the centre of the circle and AB is a diameter. When passing through B the angular velocity of P about A and C are in the ratio

(1) 1 : 1

(2) 1 : 2

(3) 2 : 1

(4) 4 : 1

Concept Questions :-

Circular motion
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A particle moves with constant angular velocity in a circle. During the motion its

(1) Energy is conserved

(2) Momentum is conserved

(3) Energy and momentum both are conserved

(4) None of the above is conserved

Concept Questions :-

Circular motion
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Two bodies of mass 10 kg and 5 kg moving in concentric orbits of radii R and r such that their periods are the same. Then the ratio between their centripetal acceleration is

(1) R/r

(2) r/R

(3) R2/r2

(4) r2/R2

Concept Questions :-

Circular motion
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A particle is moving in a horizontal circle with constant speed. It has constant

(1) Velocity

(2) Acceleration

(3) Kinetic energy

(4) Displacement

Concept Questions :-

Circular motion
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