Question:
The escape velocity of a body on a planet ‘A’ is 12 kms–1. The escape velocity of the body on another planet ‘B’, whose density is four times and radius is half of the planet ‘A’, is
The escape velocity of a body on a planet ‘A’ is 12 kms–1. The escape velocity of the body on another planet ‘B’, whose density is four times and radius is half of the planet ‘A’, is
Updated On: Mar 19, 2025
- 12 kms–1
- 24 kms–1
- 36 kms–1
- 6 kms–1
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The Correct Option is A
Solution and Explanation
Th correct option is(A): 12 kms–1
\(v_{esc}=\sqrt\frac{2GM}{R}=\sqrt\frac{2G}{R}×p×\frac{4}{3}{\pi}R^3\)
\(⇒v_{esc}∝R\sqrt{p}\)
\(⇒\frac{(v_esc)B}{(vesc)A}=1\)
⇒ (vesc)B = 12 km/s
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Concepts Used:
Speed and Velocity
The rate at which an object covers a certain distance is commonly known as speed.
The rate at which an object changes position in a certain direction is called velocity.
Difference Between Speed and Velocity:
Read More: Difference Between Speed and Velocity