Question
GeneralGeneralGeneral

 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

Verified Answer

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:

  • Radius = 10% of A
  • Density = 10% of A

vB/vA = 0.1 × √0.1

vB = 10 × 0.1 × 0.316

vB ≈ 0.32 m/s

Answer: 0.32 m/s