Properties of matterMedium
Question
Match List I with List II:
| List I | List II | ||
|---|---|---|---|
| A. | Young's Modulus | I. | $$\frac{\Delta d}{\Delta L}\left( \frac{L}{d} \right)$$ |
| B. | Compressibility | II. | $$\frac{FL}{A(\Delta L)}$$ |
| C. | Bulk Modulus | III. | $$- \frac{1}{\Delta P}\left( \frac{\Delta V}{V} \right)$$ |
| D. | Poisson's Ratio | IV. | $$- P\left( \frac{V}{\Delta V} \right)$$ |
Choose the correct answer from the options given below:
Options
A.A-IV, B-I, C-II, D-III
B.A-III, B-II, C-I, D-IV
C.A-I, B-IV, C-III, D-II
D.A-II, B-III, C-IV, D-I
Solution
Sol. [Key Concept: Elastic moduli: Young's, bulk, compressibility, Poisson's ratio]
A. Young's Modulus $= \frac{\text{~}\text{Stress}\text{~}}{\text{~}\text{Strain}\text{~}} = \frac{FL}{A\Delta L}$
B. Compressibility $= \frac{1}{\text{~}\text{Bulk modulus}\text{~}} = - \frac{1}{\Delta P}\left( \frac{\Delta V}{V} \right)$
B. Bulk Modulus $= - P\left( \frac{V}{\Delta V} \right)$
C. Poisson's Ratio $= \frac{\text{~}\text{Lateral strain}\text{~}}{\text{~}\text{Longitudinal strain}\text{~}} = \frac{\Delta d}{\Delta L}\left( \frac{L}{d} \right)$
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