Q18 (2024)
Match List I with List II:
<div style="overflow-x: auto; margin: 1rem 0;"><table style="width: 100%; border-collapse: collapse; text-align: left; font-size: 14px;"><thead><tr><th style="border: 1px solid #888; padding: 8px;" colspan="2">List I</th><th style="border: 1px solid #888; padding: 8px;" colspan="2">List II</th></tr></thead><tbody><tr><td style="border: 1px solid #888; padding: 8px;">A.</td><td style="border: 1px solid #888; padding: 8px;">Young's Modulus</td><td style="border: 1px solid #888; padding: 8px;">I.</td><td style="border: 1px solid #888; padding: 8px;">$\frac{\Delta d}{\Delta L} \left( \frac{L}{d} \right)$</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">B.</td><td style="border: 1px solid #888; padding: 8px;">Compressibility</td><td style="border: 1px solid #888; padding: 8px;">II.</td><td style="border: 1px solid #888; padding: 8px;">$\frac{FL}{A(\Delta L)}$</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">C.</td><td style="border: 1px solid #888; padding: 8px;">Bulk Modulus</td><td style="border: 1px solid #888; padding: 8px;">III.</td><td style="border: 1px solid #888; padding: 8px;">$-\frac{1}{\Delta P} \left( \frac{\Delta V}{V} \right)$</td></tr><tr><td style="border: 1px solid #888; padding: 8px;">D.</td><td style="border: 1px solid #888; padding: 8px;">Poisson's Ratio</td><td style="border: 1px solid #888; padding: 8px;">IV.</td><td style="border: 1px solid #888; padding: 8px;">$-P \left( \frac{V}{\Delta V} \right)$</td></tr></tbody></table></div>
Choose the correct answer from the options given below:
- \text{(1) A-I, B-IV, C-III, D-II}
- \text{(2) A-IV, B-I, C-II, D-III}
- \text{(3) A-III, B-II, C-I, D-IV}
- \text{(4) A-II, B-III, C-IV, D-I}
### Related Formula
$$Y = \frac{FL}{A\Delta L}$$
$$K = -P\frac{V}{\Delta V}$$
$$\text{Compressibility} = \frac{1}{K}$$
### Core Logic
A. Young's Modulus $= \frac{FL}{A\Delta L}$ (II)
B. Compressibility $= -\frac{1}{\Delta P}\left(\frac{\Delta V}{V}\right)$ (III)
C. Bulk Modulus $= -P\left(\frac{V}{\Delta V}\right)$ (IV)
D. Poisson's Ratio $= \frac{\Delta d}{\Delta L}\left(\frac{L}{d}\right)$ (I)
### Pattern Recognition
Direct match of elastic constants with mathematical definitions.
### Evaluation Rubric / Model Answer
null
### Chapter Mix
Class 11 Physics: Mechanical Properties of Solids
