Q. No.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 \(rn/2\) 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)
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 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. | \(10~\text{N}\) |
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.
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) |
Mark the correct statements about the friction between two bodies.
| (a) | static friction is always greater than kinetic friction. |
| (b) | 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:
| 1. | (a), (b) and (c) |
| 2. | (b), (c) and (d) |
| 3. | (a) and (d) |
| 4. | (c) and (d) |
Consider the following two statements
| A: | The linear momentum of a particle is independent of the frame of reference. |
| B: | The kinetic energy of a particle is independent of the frame of reference. |
| 1. | Both A and B are true |
| 2. | A is true but B is false |
| 3. | A is false but B is true |
| 4. | Both A and B are false |
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. |
| Statement I: | (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. |
| Statement II: | It is observed that when a car brakes suddenly, the passengers are thrown forward. |
| 1. | Statement I is True, Statement II is True, and Statement I is the correct explanation of Statement II. |
| 2. | Statement I is True, Statement II is True, and Statement I is not the correct explanation of Statement II. |
| 3. | Statement I is True, Statement II is False. |
| 4. | Statement I is False, Statement II 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.
1. Only P is true.
2. Only Q is true.
3. P, Q are true.
4. Only R is true.
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