A boat moves with a speed of 5 km/h relative to water in a river flowing with a speed of 3 km/h and having a width of 1 km. The minimum time taken around a round trip(returning to the initial point) is:

(1) 5 min

(2) 60 min

(3) 20 min

(4) 30 min

Subtopic:  Relative Motion |
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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

Subtopic:  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

Subtopic:  Relative Motion |
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An aeroplane is moving with a velocity u. It drops a packet from a height h. The time t taken by the packet in reaching the ground will be

(1) $\sqrt{\left(\frac{2g}{h}\right)}$

(2) $\sqrt{\left(\frac{2u}{g}\right)}$

(3) $\sqrt{\left(\frac{h}{2g}\right)}$

(4) $\sqrt{\left(\frac{2h}{g}\right)}$

Subtopic:  Projectile 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

Subtopic:  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

Subtopic:  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

Subtopic:  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

Subtopic:  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

Subtopic:  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

Subtopic:  Circular Motion |
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