The potential energy of a particle in a force field is U=Ar2-Br,where A and B are positive constants and r is the distance of particle from the centre of the field. For stable equilibrium, the distance of the particle is 

(1) B/2A                                     

(2)2A/B

(3)A/B                                       

(4)B/A

Subtopic:  Potential Energy: Relation with Force |
 79%
NEET - 2012
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A car of mass \(m\) starts from rest and accelerates so that the instantaneous power delivered to the car has a constant

magnitude \(P_0\). The instantaneous velocity of this car is proportional to:
1. \(t^2 P_0\)
2. \(t^{\frac{1}{2}}\)
3. \(t^{\frac{-1}{2}}\)
4. \(\frac{t}{\sqrt{m}}\)

Subtopic:  Power |
 75%
From NCERT
NEET - 2012
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The potential energy of a system increases if work is done

(1) by the system against a conservative force 

(2) by the system against a nonconservative force

(3) upon the system by a conservative force

(4) upon the system by a nonconservative force

Subtopic:  Potential Energy: Relation with Force |
 60%
From NCERT
NEET - 2011
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A ball moving with velocity 2 ms-1 collides head on with another stationery ball of double the mass. If the coefficient of restitution is 0.5, then their velocities (in ms-1) after collision will be 

(1)0,1                                               

(2)1,1

(3)1,0.5                                             

(4)0,2 

Subtopic:  Collisions |
 62%
NEET - 2010
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An engine pumps water through a hosepipe. Water passes through the pipe and leaves it with a velocity of \(2~\text{m/s}\). The mass per unit length of water in the pipe is \(100~\text{kg m}^{-1}\). What is the power of the engine?
1. \(400~\text{W}\)
2. \(200~\text{W}\)
3. \(100~\text{W}\)
4. \(800~\text{W}\)
Subtopic:  Power |
NEET - 2010
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A particle of mass M starting from rest undergoes uniform acceleration. If the speed acquired in time T is v, the power delivered to the particle is 

1. Mv2T                                 

2. 12Mv2T2

3. Mv2T2                                   

4. 12Mv2T

Subtopic:  Work Energy Theorem |
 56%
From NCERT
NEET - 2010
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A body of mass 1 kg is thrown upwards with a velocity 20 ms-1. It momentarily comes to rest after attaining a height of 18 m. How much energy is lost due to air friction? g=10 ms-2

1. 20 J                               
2. 30 J
3. 40 J                               
4. 10 J

Subtopic:  Work Energy Theorem |
 85%
From NCERT
NEET - 2009
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A block of mass \(M\) is attached to the lower end of a vertical spring. The spring is hung from the ceiling and has a force constant value of \(k.\) The mass is released from rest with the spring initially unstretched. The maximum extension produced along the length of the spring will be:
1. \(Mg/k\)
2. \(2Mg/k\)
3. \(4Mg/k\)
4. \(Mg/2k\)

Subtopic:  Conservation of Mechanical Energy |
 69%
From NCERT
NEET - 2009
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The points of maximum and minimum attraction in the curve between potential energy (U) and distance (r) of a diatomic molecules are respectively -

(1) and R

(2) T and S

(3) R and S

(4) S and T

Subtopic:  Potential Energy: Relation with Force |
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K is the force constant of a spring. The work done in increasing its extension from l1 to l2 will be

1. Kl2-l1                             

2. K2l2+l1

3. Kl22-l12                           

4. K2l22-l12

Subtopic:  Elastic Potential Energy |
 83%
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