The force required to stretch a spring varies with the distance as shown in the figure. If the experiment is performed with the above spring of half length, the line OA will

(1) Shift towards F-axis

(2) Shift towards X-axis

(3) Remain as it is

(4) Become double in length

Subtopic:  Elastic Potential Energy |
From NCERT
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The graph between E and v is
 

1. 2.
3. 4.
Subtopic:  Work Energy Theorem |
 75%
From NCERT
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A body moves from rest with a constant acceleration. Which one of the following graphs represents the variation of its kinetic energy K with the distance travelled x ?

(1)

(2)

(3)

(4)

Subtopic:  Concept of Work |
 59%
From NCERT
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The diagrams represent the potential energy U as a function of the inter-atomic distance r. Which diagram corresponds to stable molecules found in nature.

(1)

(2)

(3)

(4)

Subtopic:  Potential Energy: Relation with Force |
 75%
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The relationship between the force F and the position x of a body is as shown in the figure. The work done in displacing the body from x = 1 m to x = 5 m will be:

1. 30 J 2. 15 J
3. 25 J 4. 20 J
Subtopic:  Work Done by Variable Force |
 52%
From NCERT
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A particle is placed at the origin and a force F = kx is acting on it (where k is positive constant). If U(0) = 0, the graph of U(x) versus x will be (where U is the potential energy function) 

(1)

(2)

(3)

(4)

Subtopic:  Elastic Potential Energy |
 51%
From NCERT
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Two identical balls \(\mathrm{A}\) and \(\mathrm{B}\) having velocities of \(0.5~\text{m/s}\) and \(-0.3~\text{m/s}\) respectively collide elastically in one dimension. The velocities of \(\mathrm{B}\) and \(\mathrm{A}\) after the collision respectively will be:
1. \(-0.5 ~\text{m/s}~\text{and}~0.3~\text{m/s}\) 
2. \(0.5 ~\text{m/s}~\text{and}~-0.3~\text{m/s}\)
3. \(-0.3 ~\text{m/s}~\text{and}~0.5~\text{m/s}\)
4. \(0.3 ~\text{m/s}~\text{and}~0.5~\text{m/s}\)

Subtopic:  Collisions |
 57%
From NCERT
NEET - 2016
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A body of mass 1 kg begins to move under the action of a time dependent force \(F = 2 t\) \(\hat{i} + 3 t^{2}\ \hat{j}\) N, where \(\hat{i}\) and \(\hat{j}\) are unit vectors along X and Y axis, What power will be developed by the force at the time (t) ?

(a) \(\left(2 t^{2} + 4 t^{4}\right) W\)         

(b) \(\left(2 t^{3} + 3 t^{4}\right) W\)

(c) \(\left(2 t^{3} + 3 t^{5}\right) W\)         

(d) \(\left(2 t + 3 t^{3}\right) W\)

Subtopic:  Power |
 68%
From NCERT
NEET - 2016
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What is the minimum velocity with which a body of mass m must enter a vertical loop of radius R so that it can complete the loop?

(1) 2gR

(2) 3gR

(3) 5gR

(4) gR
 

Subtopic:  Work Energy Theorem |
 77%
From NCERT
NEET - 2016
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A block of mass \(10\) kg, moving in the x-direction with a constant speed of \(10\) ms-1, is subjected to a retarding force \(F=0.1x\) J/m during its travel from \(x =20\) m to \(30\) m. Its final kinetic energy will be:

1. 475 J 2. 450 J
3. 275 J 4. 250 J
Subtopic:  Work Done by Variable Force |
 72%
From NCERT
NEET - 2015
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