Match the following:
| List-I | List-II |
|---|---|
| a) Spring constant | i) ML²T⁻²K⁻¹ |
| b) Thermal conductivity | ii) MLT⁻² |
| c) Boltzmann constant | iii) ML²T⁻²A⁻² |
| d) Inductance | iv) MLT⁻³K⁻¹ |
Final Answer:
a → ii, b → iv, c → i, d → iii
3. The escape velocity from a spherical planet A is 10 m/s. Another planet B has density and radius equal to 10% of planet A. Find the escape velocity from planet B.
Escape velocity formula:
ve = √(2GM/R)
Since:
M = (4/3)πR3ρ
Therefore:
ve ∝ R√ρ
Given for planet B:
vB/vA = 0.1 × √0.1
vB = 10 × 0.1 × 0.316
vB ≈ 0.32 m/s
Answer: 0.32 m/s