Q. No.A particle is on a smooth horizontal plane. A force \(F\) is applied, whose \((F\text-t)\) graph is given.
Consider the following statements.
| (a) | At time \(t_1\), acceleration is constant. |
| (b) | Initially the particle must be at rest. |
| (c) | At time \(t_2\), acceleration is constant. |
| (d) | The initial acceleration is zero. |
Select the correct statement(s):
| 1. | (a), (c) | 2. | (a), (b), (d) |
| 3. | (c), (d) | 4. | (b), (c) |
The figure shows the position-time graph of a particle of mass \(4~\text{kg}\). What is the force on the particle for \(t>4~\text{s}\)?
(Consider one-dimensional motion only).
| 1. | \(0\) | 2. | \(40~\text{N}\) |
| 3. | \(20~\text{N}\) | 4. | \(10~\text{N}\) |
In the figure, the coefficient of friction between the floor and body \(B\) is \(0.1.\) The coefficient of friction between bodies \(B\) and \(A\) is \(0.2.\) A force \(F\) is applied as shown on \(B.\) The mass of \(A\) is \(m/2\) and of \(B\) is \(m.\)
| (a) | The bodies will move together if \(F = 0.25\text{mg}\) |
| (b) | The \(A\) will slip with \(B\) if \(F = 0.5\text{mg}\) |
| (c) | The bodies will move together if \(F = 0.5\text{mg}\) |
| (d) | The bodies will be at rest if \(F = 0.1\text{mg}\) |
| (e) | The maximum value of \(F\) for which the two bodies will move together is \(0.45\text{mg}\) |
Which of the following statement(s) is/are true?
1. (a), (b), (d), (e)
2. (a), (c), (d), (e)
3. (b), (c), (d)
4. (a), (b), (c)
The figure shows the position-time graph of a body of mass 0.04 kg. What is the time between two consecutive impulses received by the body?
1. 2 s
2. 4 s
3. 1 s
4. 3 s
Figure shows the position-time graph of a body of mass 0.04 kg. What is the magnitude of each impulse recieved by the body?
1.
2.
3.
4.
Mark the correct statements about the friction between two bodies.
| (a) | Static friction is always greater than kinetic friction. |
| (b) | The coefficient of static friction is always greater than the coefficient of kinetic friction. |
| (c) | Limiting friction is always greater than kinetic friction. |
| (d) | Limiting friction is never less than static friction. |
Choose the correct option from the given ones:
| 1. | (a), (b) and (c) |
| 2. | (b), (c) and (d) |
| 3. | (a) and (d) |
| 4. | (c) and (d) |
| Statement A: | The linear momentum of a particle is independent of the frame of reference. |
| Statement B: | The kinetic energy of a particle is independent of the frame of reference. |
| 1. | Both Statement A and Statement B are correct. |
| 2. | Statement A is correct and Statement B is incorrect. |
| 3. | Statement A is incorrect and Statement B is correct. |
| 4. | Both Statement A and Statement B are incorrect. |
A block of mass \(M\) lies at rest on a horizontal table.
| Statement I: | (Newton's 3rd Law) To every action, there is an equal and opposite reaction. Action and reaction forces act on different bodies and in opposite directions. |
| Statement II: | The normal reaction is the reaction force, while the weight is the action. |
| 1. | Statement I is True, Statement II is True and Statement I is the correct reason for Statement II. |
| 2. | Statement I is True, Statement II is True and Statement I is not the correct reason for Statement II. |
| 3. | Statement I is True, Statement II is False. |
| 4. | Statement I is False, Statement II is True. |
| Assertion (A): | It is observed that when a car brakes suddenly, the passengers are thrown forward. |
| Reason (R): | (Newton's 1st Law of Motion) Everybody continues in its state of rest or of uniform motion in a straight line except in so far as it be compelled by an externally impressed force to act otherwise. |
| 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. | (A) is False but (R) is True. |
Consider the statements:
| (P) | \(f\) increases if \(m\) is increased. |
| (Q) | \(f\) increases if \(F_A\) is increased. |
| (R) | \(f\) increases if \(F_R\) is increased. |
2. Only Q is True.
3. P, Q are True.
4. Only R is True.
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