Discussion
Match the properties in Column I with the appropriate units in Column II
| Column I | Column II |
|---|---|
| P. Thermal diffusivity | 1. Hm-1 |
| Q. Fracture toughness | 2. m2s-1 |
| R. Surface energy | 3. Fm-1 |
| S. Magnetic permeability | 4. Nm-3/2 |
| 5. Jm-2 |
Answer: B
The match is P-2, Q-4, R-5, S-1.
- Thermal diffusivity \(\alpha = k/(\rho c_{p})\) has units m2s-1.
- Fracture toughness \(K_{IC} = Y\sigma\sqrt{\pi a}\) is stress times root length, Pa m1/2 = N m-2 m1/2 = N m-3/2.
- Surface energy is energy per unit area, J m-2.
- Magnetic permeability has units H m-1, as in \(\mu_{0} = 4\pi \times 10^{-7}\) H/m.
F m-1 is the unit of electrical permittivity, a distractor for permeability. Options that give fracture toughness J m-2 confuse it with the critical strain energy release rate.
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