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TS EAMCET · Physics · Gravitation

If the escape velocity on earth is \(11.2 \mathrm{~km} / \mathrm{s}\), its value for a planet having double the radius and 8 time the mass of earth is

  1. A 22.4 km/s
  2. B 24.3 km/s
  3. C 26.6 km/s
  4. D 44.8 km/s
Verified Solution

Answer & Solution

Correct Answer

(A) 22.4 km/s

Step-by-step Solution

Detailed explanation

Escape velocity of an object on a planetary body, \(v_e=\sqrt{\frac{2 G M}{R}} \Rightarrow v_e \propto \sqrt{\frac{M}{R}}\) So,…