The escape velocity of a body depends upon mass as (a) m⁰ (b) m¹ (c) m² (d) m³

Answer: (a). ve = √(2GM/R) contains only the planet's mass M and radius R. It does not depend on the body's mass m, so ve ∝ m⁰. So the answer is (a) m⁰.

The escape velocity of a body depends upon mass as | JEE Main 2002 (AIEEE)

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Escape Velocity

The escape velocity of a body depends upon mass as

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Answer: (a)

$v_e = \sqrt{\frac{2GM}{R}}$ contains only the planet's mass $M$ and radius $R$ .
It does not depend on the body's mass $m$ , so $v_e \propto m^{0}$ .
So the answer is (a) $m^{0}$ .

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Escape Velocity question from JEE Main 2002 (AIEEE)

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