Q. No.The work done in stretching an elastic wire per unit volume is:
| 1. | stress\(\times\)strain |
| 2. | \(\frac{1}{2}\)\(\times\)stress\(\times\)strain |
| 3. | \(2\times\)stress\(\times\)strain |
| 4. | stress/strain |
An elastic material of Young's modulus Y is subjected to a stress S. The elastic energy stored per unit volume of the material is:
1.
2.
3.
4.
If \(\mathrm{E}\) is the energy stored per unit volume in a wire having \(\mathrm{Y}\) as Young's modulus of the material, then the stress applied is:
1.
2.
3.
4.
The Young's modulus of a wire is Y. If the energy per unit volume is E, then the strain will be:
1.
2.
3.
4.
| Assertion (A): | Soft steel can be made red hot by continued hammering on it, but hard steel cannot. |
| Reason (R): | Energy transfer in the case of soft is large as in hard steel. |
| 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. |
A \(5\) m long wire is fixed to the ceiling. A weight of \(10\) kg is hung at the lower end and is \(1\) m above the floor. The wire was elongated by \(1\) mm. The energy stored in the wire due to stretching is:
1. zero
2. \(0.05\) J
3. \(100\) J
4. \(500\) J
A wire of length \(L\) and cross-sectional area \(A\) is made of a material of Young's modulus \(Y.\) It is stretched by an amount \(x.\) The work done is:
1.
2.
3.
4.
The ratio of Young's modulus of the material of two wires is 2 : 3. If the same stress is applied on both, then the ratio of elastic energy per unit volume will be:
1. 3 : 2
2. 2 : 3
3. 3 : 4
4. 4 : 3
The work done per unit volume to stretch the length of a wire by 1% with a constant cross-sectional area will be:
1.
2.
3.
4.
If the force constant of a wire is K, the work done in increasing the length of the wire by l is:
1.
2.
3.
4.
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