A weightless rod of length 2l carries two equal mass 'm', one tied at lower end A and the other at the middle of the rod at B. The rod can rotate in a vertical plane about a fixed horizontal axis passing through C. The rod is released from rest in the horizontal position. The speed of the mass B at the instant rod becomes vertical is:

1. \(\sqrt{\frac{3 g l}{5}} \)

2. \(\sqrt{\frac{4 g l}{5}} \)

3. \(\sqrt{\frac{6 g l}{5}} \)

4. \(\sqrt{\frac{7 g l}{5}} \)

Subtopic:  Work Energy Theorem |
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A body of mass (m) elastically collides with another stationary body of mass 3m. The fractional loss of K.E. of the body is:

1.  89

2.  34

3.  35

4.  47

Subtopic:  Collisions |
 71%
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A force F is applied on a body which moves with a velocity v in the direction of the force, then the power will be

1.  Fv2

2.  Fv

3.  F/v2

4.  F/v

 

Subtopic:  Power |
 89%
From NCERT
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Potential energy \((U)\) related to coordinates is given by; \(U=3(x+y).\) Work done by the conservative force when the particle is going from \((0,0), (2,3)\) is:
1. \(15\) J
2. \(-15\) J
3. \(12\) J
4. \(10\) J

Subtopic:  Potential Energy: Relation with Force |
 71%
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A mass m slips along the wall of a semispherical surface of radius R. The velocity at the bottom of the surface is [ MP PMT 1993]

(1) Rg

(2) 2Rg

(3) 2πRg

(4) πRg

Subtopic:  Gravitational Potential Energy |
 80%
From NCERT
PMT - 1993
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Three different objects of mass m1, m2 and m3 are allowed to fall from rest and from the same point ‘O’ along three different frictionless paths. The speeds of the three objects, on reaching the ground, will be in the ratio of:

1. m1:m2:m3 2. m1:2m2:3m3
3. 1 : 1 : 1 4. 1m1:1m2:1m3 
Subtopic:  Work Energy Theorem |
 80%
From NCERT
AIIMS - 2002
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When a body moves with a constant speed along a circle 

(1) No work is done on it

(2) No acceleration is produced in the body

(3) No force acts on the body

(4) Its velocity remains constant

Subtopic:  Work Done by Variable Force |
 72%
From NCERT
PMT - 1994
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A sphere of mass m is tied to end of a string of length l and rotated through the other end along a horizontal circular path with speed v. The work done by centripetal force in full horizontal circle is 

(1) 0

(2) mv2l.2πl

(3) mg . 2πl

(4) mv2l.(l)

Subtopic:  Work Done by Variable Force |
 80%
From NCERT
PMT - 1993
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In a circus stuntman rides a motorbike in a circular track of radius R in the vertical plane. The minimum speed at highest point of track will be 

(1) 2gR

(2) 2gR

(3) 3gR

(4) gR

Subtopic:  Work Energy Theorem |
 72%
From NCERT
PMT - 1979
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A ball is suspended by a thread of length l. What minimum horizontal velocity has to be imparted to the ball for it to reach the height of the suspension:

(1) gl

(2) 2 gl

(3) gl

(4) 2gl

Subtopic:  Work Energy Theorem |
 75%
From NCERT
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