- 1(current)
Q. No.
| 1. | \(2 \pi \sqrt{\dfrac{m}{k}} \) | 2. | \(\pi \sqrt{\dfrac{m}{k}} \) |
| 3. | \(4\pi \sqrt{\dfrac{m}{k}}\) | 4. | \(\dfrac{\pi}{2} \sqrt{\dfrac{m}{k}}\) |
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The energy of the block is \(E\), and the plane is smooth, the wall at the end \(B\) is smooth. Collisions with walls are elastic. The distance \(AB=l\), the spring is ideal and the spring constant is \(k\). The time period of the motion is:
| 1. | \(2\pi\sqrt{\dfrac{m}{k}}\) |
| 2. | \(\pi\sqrt{\dfrac{m}{k}}+l\sqrt{\dfrac{2m}{E}}\) |
| 3. | \(2\pi\sqrt{\dfrac{m}{k}}+2l\sqrt{\dfrac{2m}{E}}\) |
| 4. | \(\pi\sqrt{\dfrac{m}{k}}+l\sqrt{\dfrac{m}{2E}}\) |
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| 1. | the amplitude increases. |
| 2. | the amplitude decreases. |
| 3. | the frequency increases. |
| 4. | the frequency decreases. |
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| 1. | \(T_{AB}=\dfrac{3}{2}~T_A\) | 2. | \(T_{AB}=\dfrac{\sqrt5}{2}~T_A\) |
| 3. | \(T_{AB}=\dfrac{1}{2}~T_A\) | 4. | \(T_{AB}=\dfrac{2}{3}~T_A\) |
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| 1. | \(t\) increases. |
| 2. | \(t\) decreases. |
| 3. | \(t\) remains unchanged. |
| 4. | the effect on \(t\) cannot be determined due to insufficient information. |
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| 1. | \(\sqrt{\dfrac{2k}{3m}}\) | 2. | \(\sqrt{\dfrac{3k}{2m}}\) |
| 3. | \(\sqrt{\dfrac{3k}{m}}\) | 4. | \(\sqrt{\dfrac{k}{3m}}\) |
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| 1. | \(0\) | 2. | \(2k\) |
| 3. | \(\dfrac k2\) | 4. | infinity |
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| 1. | \(2\pi{\Large\sqrt\frac{l}{g}}+2\pi{\Large\sqrt\frac{m}{k}} \) | 2. | \(\pi{\Large\sqrt\frac{l}{g}}+\pi{\Large\sqrt\frac{m}{k}}\) |
| 3. | \({\Large\sqrt\frac{g}{l}}+{\Large\sqrt\frac{k}{m}}\) | 4. | \(\Large\frac{1}{2\pi}\sqrt{\frac gl}+\frac{1}{2\pi}\sqrt\frac{k}{m}\) |
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1. \(A'=A+\alpha J\)
2. \(A'^{\Large^2}=A^2+\alpha J^2\)
3. \(A'^{\Large^2}=A^2+\alpha J+\beta A\)
4. \(A'^{\Large^2}=A^2+\alpha J^2+\beta AJ\)
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- 1(current)
Q. No.
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