| List I | List II | ||
| \(\mathrm{A}.\) | Young's Modulus | \(\mathrm{I}.\) | \(\dfrac{\Delta d}{\Delta L} \left( \dfrac{L}{d} \right)\) |
| \(\mathrm{B}.\) | Compressibility | \(\mathrm{II}.\) | \(\dfrac{FL}{A(\Delta L)}\) |
| \(\mathrm{C}.\) | Bulk Modulus | \(\mathrm{III}.\) | \(-\dfrac{1}{\Delta P} \left( \dfrac{\Delta V}{V} \right)\) |
| \(\mathrm{D}.\) | Poisson's Ratio | \(\mathrm{IV}.\) | \(-P \left( \dfrac{V}{\Delta V} \right)\) |
| Assertion (A): | The stretching of a spring is determined by the shear modulus of the material of the spring. |
| Reason (R): | A coil spring of copper has more tensile strength than a steel spring of the same dimensions. |
| 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 False but (R) is True. |
| 4. | (A) is True but (R) is False. |
The bulk modulus of a spherical object is \(B.\) If it is subjected to uniform pressure \(P,\) the fractional decrease in radius is:
| 1. | \(\frac{B}{3P}\) | 2. | \(\frac{3P}{B}\) |
| 3. | \(\frac{P}{3B}\) | 4. | \(\frac{P}{B}\) |