Q. No.The two blocks \(A\) and \(B\) are placed on a smooth horizontal plane, with the string initially just taut. Forces are applied as shown. The tension in the string is:
| 1. | \(5~\text{N}\) | 2. | \(2~\text{N}\) |
| 3. | \(1~\text{N}\) | 4. | \(0~\text{N}\) |
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An elevator moving up is decelerating at \(1\) m/s2. Then, the apparent weight of a \(50\) kg man, on a weighing machine, will be: (Take \(g=\) \(10\) m/s2)
| 1. | \(55\) kg | 2. | \(45\) kg |
| 3. | \(40\) kg | 4. | none of the above |
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| 1. | \(m\dfrac{g+2a}{g+a}\) |
| 2. | \(m\dfrac{g+a}{g}\) |
| 3. | \(m\dfrac{g+a}{a}\) |
| 4. | \(m\dfrac{g+2a}{g}\) |
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| Assertion (A): | Newton's law of action and reaction is a consequence of Newton's law of inertia. |
| Reason (R): | Newton's law of inertia implies that any body that is not acted upon by external forces cannot change its state of rest or uniform motion. |
| 1. | (A) is True but (R) is False. |
| 2. | (A) is False but (R) is True. |
| 3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
| 4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
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1. \(mg=ru\)
2. \(mg=ru^2\)
3. \(g=ru\)
4. \(mg=r^2u^2\)
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| Statement I: | Given that the magnitude of the acceleration of a body is constant, the force acting on it must be constant. |
| Statement II: | Newton's second law leads to the statement that the acceleration of a body is directly proportional to the net force acting on it. |
| 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. |
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| Assertion (A): | A block near the surface of the earth, is pulled down by its weight \((W);\) the block, pulls the earth upward by exerting an equal force. |
| Reason (R): | This is a consequence of Newton's law of action and reaction. |
| 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. |
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1. \(mg\)
2. \(2mg\)
3. \(\dfrac{mg}{2}\)
4. zero
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1. \(2~\text{m/s}\)
2. \(\bigg({\large\frac{200}{199}}+1\bigg)~\text{m/s}\)
3. \(\bigg({\large\frac{200}{198}}+1\bigg)~\text{m/s}\)
4. \(\bigg({\large\frac{200}{199}}+{\large\frac{200}{198}}\bigg)~\text{m/s}\)
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1. \(mg\tau\)
2. \(m\bigg(\sqrt{2gh_1}-\sqrt{2gh_2}\bigg)\)
3. \(m\bigg(\sqrt{2gh_1}+\sqrt{2gh_2}\bigg)\)
4. \(m\sqrt{2g(h_1+h_2)}\)
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