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Q. No.A particle of mass \(m\) collides with another particle of mass \(m',\) which is at rest and the combined mass moves with \(10\text{%}\) reduction in velocity. The ratio of the masses is:
1.
\(\dfrac{m'}{m}=\dfrac{1}{10}\)
2.
\(\dfrac{m'}{m}=\dfrac{1}{9}\)
3.
\(\dfrac{m'}{m}=\dfrac{1}{8}\)
4.
\(\dfrac{m'}{m}=\dfrac{1}{2}\)
Subtopic: Collisions |
85%
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A rod of mass \(M\) and length \(L\) is suspended vertically at its highest point. The rod is held such that it is horizontal and free to rotate about \(A\) and then released. There is no friction anywhere.
The kinetic energy of the rod, when it reaches the lowest position is:
| 1. | \(MgL\) | 2. | \(\dfrac{MgL}{2}\) |
| 3. | \(\dfrac{2}{3}MgL\) | 4. | \(\dfrac{MgL}{12}\) |
Subtopic: Gravitational Potential Energy |
68%
From NCERT
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A block of mass \(m\) is being lowered by means of a string attached to it. The system moves down with a constant velocity. Then:
| 1. | the work done by gravity on the block is positive. |
| 2. | the work done by force, \(F \) (the force of the string) on the block is negative. |
| 3. | the work done by gravity is equal in magnitude to that done by the string. |
| 4. | All of the above are true. |
Subtopic: Concept of Work |
77%
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A bullet hits a block kept at rest on a smooth horizontal surface and gets embedded into it. Which of the following does not change?
| 1. | linear momentum of the block |
| 2. | kinetic energy of the block |
| 3. | gravitational potential energy of the block |
| 4. | temperature of the block |
Subtopic: Collisions |
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The total work done on a particle is equal to the change in its kinetic energy:
| 1. | always |
| 2. | only if the forces acting on it are conservative |
| 3. | only if gravitational force alone acts on it |
| 4. | only if elastic force alone acts on it |
Subtopic: Work Energy Theorem |
70%
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__________ of a two-particle system depends only on the separation between the two particles. The most appropriate choice for the blank space in the above sentence is:
1. kinetic energy
2. total mechanical energy
3. potential energy
4. total energy
Subtopic: Gravitational Potential Energy |
78%
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A small block of mass \(m\) lies on a frictionless wedge of mass \(M,\) which is pushed horizontally to the right by means of a constant force \(F\). There is no relative motion between the block and the wedge. Let the work done by \(F\) on \(M\) be \(W_F\). The work done by the normal force (between \(M\) & \(m\)) on \(m\) be \(W_m\). Both are measured for the same time interval.
Then:
1. \(\dfrac{W_F}{M}=\dfrac{W_m}{m}\)
2. \(W_F\cdot M=W_m\cdot m\)
3. \(\dfrac{W_F}{M+m}=\dfrac{W_m}{m}\)
4. \(\dfrac{W_F}{M}=\dfrac{W_m}{m+M}\)
Then:
1. \(\dfrac{W_F}{M}=\dfrac{W_m}{m}\)
2. \(W_F\cdot M=W_m\cdot m\)
3. \(\dfrac{W_F}{M+m}=\dfrac{W_m}{m}\)
4. \(\dfrac{W_F}{M}=\dfrac{W_m}{m+M}\)
Subtopic: Work done by constant force |
63%
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A ball of mass \(m\) is projected with a speed \(u,\) at an angle of \(\theta\) with the horizontal. At its highest point, it moves on a smooth horizontal platform with a spring of spring constant \(k\) attached, and the ball compresses the spring. The maximum compression in the spring is \(x.\) Then:
| 1. | \(\frac12mu^2=\frac12kx^2\) | 2. | \(\frac12mu^2cos^2\theta=\frac12kx^2\) |
| 3. | \(\frac12mu^2=\frac12kx^2cos^2\theta\) | 4. | \(\frac12mu^2sin^2\theta=\frac12kx^2\) |
Subtopic: Elastic Potential Energy |
79%
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An electric lift with a maximum load of \(2000\) kg (lift+passengers) is moving up with a constant speed of \(1.5\) ms–1. The frictional force opposing the motion is \(3000\) N. The minimum power delivered by the motor to the lift in watts is:
(Take \(g=10\) ms–2)
1. \(23500\)
2. \(23000\)
3. \(20000\)
4. \(34500\)
(Take \(g=10\) ms–2)
1. \(23500\)
2. \(23000\)
3. \(20000\)
4. \(34500\)
Subtopic: Power |
66%
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Given below are two statements:
| Assertion (A): | Work done by friction on a body sliding down an inclined plane is negative. |
| Reason (R): | Work done is less than zero if the angle between force and displacement is acute or both are in the same direction. |
| 1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
| 3. | (A) is True but (R) is False. |
| 4. | Both (A) and (R) are False. |
Subtopic: Concept of Work |
77%
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