Topic: Engineering Physics
Ratio of the radii of the planets P1 and P2 is k and ratio of the acceleration due to gravity on them is s. Ratio of escape velocities from them will be
- A. ks
- B. $\sqrt{ks}$
- C. $\sqrt{k/s}$
- D. $\sqrt{s/k}$
Answer: B. $\sqrt{ks}$
Explanation: Escape velocity V_esc = $\sqrt{2*g*R}$. The ratio of escape velocities V1/V2 = $\sqrt{(g1*R1}$ / (g2*R2)) = $\sqrt{s*k}$ or $\sqrt{ks}$.