| 1. | coin at \(3\) cm will slip. |
| 2. | coin at \(12\) cm will slip. |
| 3. | both coins will slip. |
| 4. | no coin will slip. |
| 1. | \(\dfrac g 3\) to left, \(g\) upward, \(g\) downward. |
| 2. | zero, zero, \(g\) downward. |
| 3. | zero, \(g\) upward, \(g\) downward. |
| 4. | \(g\) to right, zero, \(g\) downward. |
When a body of mass \(m\) just begins to slide as shown, match List-I with List-II:
| List-I | List-II | ||
| (a) | Normal reaction | (i) | \(P\) |
| (b) | Frictional force \((f_s)\) | (ii) | \(Q\) |
| (c) | Weight \((mg)\) | (iii) | \(R\) |
| (d) | \(mg \mathrm{sin}\theta ~\) | (iv) | \(S\) |
| (a) | (b) | (c) | (d) | |
| 1. | (ii) | (i) | (iii) | (iv) |
| 2. | (iv) | (ii) | (iii) | (i) |
| 3. | (iv) | (iii) | (ii) | (i) |
| 4. | (ii) | (iii) | (iv) | (i) |
| Assertion (A): | Improper banking of roads causes wear and tear of tyres. |
| Reason (R): | The necessary centripetal force in that event is provided by the force of friction between the tyres and the road. |
| 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. |

| 1. | \(80~\text{N}\) | 2. | \(60~\text{N}\) |
| 3. | \(40~\text{N}\) | 4. | \(100~\text{N}\) |

| 1. | \(4\) | 2. | \(3\) |
| 3. | \(2\) | 4. | \(1\) |
| Statement I: | When a railway engine pulls a train and the system moves forward, the force exerted by the engine on the train is greater than that exerted by the train on the engine. |
| Statement II: | The normal force exerted by the ground on a man is the reaction force of the weight of the man. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |