- 1(current)
Q. No.Two springs \(\mathrm{A}\) and \(\mathrm{B}\) \((k_A=2k_B)\) are stretched by applying forces of equal magnitudes at the four ends. If the energy stored in \(\mathrm{A}\) is \(E,\) that in \(\mathrm{B}\) is:
1. \(\frac{E}{2}\)
2. \(2E\)
3. \(E\)
4. \(\frac{E}{4}\)
Two equal masses are attached to the two ends of a spring of spring constant \(k.\) The masses are pulled out symmetrically to stretch the spring by a length \(x\) over its natural length. The work done by the spring on each mass is:
1. \(\dfrac{1}{2} {kx}^{2}\)
2. \(-\dfrac{1}{2} {kx}^{2}\)
3. \(\dfrac{1}{4} {kx}^{2}\)
4. \(-\dfrac{1}{4}{kx}^{2}\)
The negative of the work done by the conservative internal forces on a system equals the change in:
1. total energy
2. kinetic energy
3. potential energy
4. none of these
| (a) | The spring was initially compressed by a distance \(x\) and was finally in its natural length. |
| (b) | It was initially stretched by a distance of \(x\) and finally was in its natural length. |
| (c) | It was initially in its natural length and finally in the compressed position. |
| (d) | It was initially in its natural length and finally in a stretched position. |
Choose the correct option from the given ones:
| 1. | (a) and (b) only |
| 2. | (b) and (c) only |
| 3. | (c) and (d) only |
| 4. | (a), (b), (c), (d) |
- 1(current)
Q. No.
© 2025 GoodEd Technologies Pvt. Ltd.