Q. No.A ball is thrown up with a speed \(u\) at an angle of \(60^{\circ}\) with the horizontal; the thrower of the ball runs with a uniform speed \(v\) and stops suddenly when he reaches a certain point. He observes that the ball is at its maximum height, and then waits until it reaches him. Then
1. \(v=4u\)
2. \(v=2u\)
3. \(v=u\)
4. \(v<u\)
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1. \(a\)
2. \(b\)
3. \(c\)
4. \(d\)
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1. \(1\) min
2. \(6\) min
3. \(0.5\) min
4. \(\dfrac {1}{6}\) min
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| 1. | \(2\) km | 2. | \(1\) km |
| 3. | \(\dfrac12\) km | 4. | \(\dfrac14\) km |
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| 1. | zero | 2. | \(\dfrac{2u^2}{R}\) |
| 3. | \(\dfrac{u^2}{\sqrt2R}\) | 4. | \(\dfrac{\sqrt2u^2}{R}\) |
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| 1. | \(10\) min | 2. | \(5\sqrt3\) min |
| 3. | \(20\) min | 4. | \(\dfrac{10}{\sqrt3}\) min |
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1. \(2.4\) km
2. \(1.6\sqrt{3}\) km
3. \(1.6\sqrt2\) km
4. \(3.2\) km
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| 1. | greater than \(1000\) m |
| 2. | less than \(1000\) m |
| 3. | equal to \(1000\) m |
| 4. | can be any of the above depending on the height of the cliff |
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| Statement I: | When a projectile is at its highest point, its tangential acceleration is zero. |
| Statement II: | When a projectile is at the highest point of its trajectory, its speed is minimum. |
| 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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| 1. | conservative |
| 2. | non-conservative |
| 3. | neither conservative nor non-conservative |
| 4. | either conservative or non-conservative depending on whether the force is acting forward or backward |
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