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NDA 2021 GAT · General Knowledge · Motion, Forces and Gravitation · hard

Escape velocity from the Earth: 1. It does not depend on the mass of the body projected. 2. Its value is nearly 11.2 km/s.

Single correct option

Consider the following statements about the escape velocity from the Earth:
1. It does not depend on the mass of the body projected.
2. Its value is nearly 11.2 km/s.
Which of the statements given above is/are correct?
  1. A. 1 only
  2. B. 2 only
  3. C. Both 1 and 2
  4. D. Neither 1 nor 2
Show answer and solution

Answer: (C) Both 1 and 2

Escape velocity = sqrt(2GM/R), which involves only the mass and radius of the Earth, not the mass of the projectile. Substituting Earth's values gives about 11.2 km/s. Both statements are correct. The mass of the body cancels because gravitational force and inertia are both proportional to it.
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Original question written in the NDA 2021 GAT pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake