Q. No.A simple pendulum is allowed to oscillate, and its motion is studied from one extreme position \((A)\) to the other \((B).\) The work done on the bob by gravity during the motion \(AB\) is:
1.
zero throughout the motion
2.
positive
3.
negative
4.
positive during half the motion and negative during the other half
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| 1. | \(\dfrac{1}{2}\) | 2. | \(\dfrac{\sqrt3}{2}\) |
| 3. | \(\dfrac{1}{4}\) | 4. | \(\dfrac{3}{4}\) |
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1. \(1\)
2. \(2\)
3. \(6\)
4. \(8\)
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The time \((t),\) when the balls collide with each other for the first time, is:
1. \(1~\text s\)
2. \(1.5~\text s\)
3. \(2~\text s\)
4. \(3~\text s\)
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The two balls \((A~\&~B)\) collide with the walls at time \((t)\):
1. \(1.5~\text s,3~\text s\)
2. \(3~\text s,6~\text s\)
3. \(6~\text s,3~\text s\)
4. \(6~\text s,6~\text s\)
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The time interval between the first collision and the second collision between the balls is:
1. \(6~\text{s}\)
2. \(3~\text{s}\)
3. \(4.5~\text{s}\)
4. \(4~\text{s}\)
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The work done by the force \(F\) equals:
1. \(\dfrac{Fd}{2}\)
2. \(Fd\)
3. \(2Fd\)
4. \(\dfrac{Fd}{3}\)
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The potential energy stored in the spring equals:
| 1. | \(\Large\frac{Fd}{2}\) | 2. | \(Fd\) |
| 3. | \(\Large\frac{2Fd}{3}\) | 4. | \(\Large\frac{Fd}{3}\) |
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The force exerted by the spring equals:
1. \(F\)
2. \(\Large\frac F2\)
3. \(2F\)
4. \(\sqrt2F\)
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| 1. | \(\sqrt{gL}\) | 2. | \(\sqrt{\Large\frac{gL}{2}}\) |
| 3. | \(\sqrt{2gL}\) | 4. | \(\sqrt{\Large\frac{5gL}{2}}\) |
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