Six particles situated at the corners of a regular hexagon of side 'a' move at constant speed v. Each particle maintains a direction towards the particle at the next. The time which the particles will take to meet each other is-

1.  2av sec

2.  av sec

3.  2a3v sec

4.  3av sec

Subtopic:  Relative Motion |
From NCERT
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In a uniform circular motion, which of the following quantity is not constant

1. Angular momentum

2. Speed

3. Kinetic energy

4. Momentum

Subtopic:  Circular Motion |
 53%
From NCERT
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A river is flowing with a speed of 1 km/hr. A swimmer wants to go to point 'C' starting from 'A'. He swims with a speed of 5 km/hr, at an angle θ with respect to the river. If AB=BC=400m. Then-

(1) time taken by the man is 12 min

(2) time taken by the man is 8 min

(3) the value of θ is 45°

(4) the value of θ is 53°

Subtopic:  Relative Motion |
From NCERT
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A particle starts from the origin at t=0 and moves in the x-y plane with constant acceleration 'a' in the y direction. Its equation of motion is y=bx2. The x component of its velocity (at t=0) is:

(1) variable

(2) 2ab

(3) a2b

(4) a2b

Subtopic:  Acceleration |
From NCERT
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A particle has initial velocity 3i^+4j^ and has acceleration 0.4i^+0.3j^. Its speed after 10 s:

1. 7 units

2. 72 units

3. 8.5 units

4. 10 units

Subtopic:  Uniformly Accelerated Motion |
 78%
From NCERT
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A boat is sent across a river in perpendicular direction with a velocity of 8 km/hr. If the resultant velocity of boat is 10 km/hr, then velocity of the river is : 

(1) 10 km/hr

(2) 8 km/hr

(3) 6 km/hr

(4) 4 km/hr

Subtopic:  Relative Motion |
 85%
From NCERT
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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 |
 60%
From NCERT
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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 |
 71%
From NCERT
PMT - 1975
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A motorcyclist going round in a circular track at a constant speed has:

(1) constant linear velocity.

(2) constant acceleration.

(3) constant angular velocity.

(4) constant force.

Subtopic:  Circular Motion |
 64%
From NCERT
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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 |
From NCERT
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