The escape velocity of a satellite from the surface of earth does NOT depend on (a) mass of the earth. (b) mass of the object to be projected. (c) radius of the earth. (d) gravitational constant.

Answer: (b). ve = √(2GM/R) depends on G, the earth's mass M and radius R. The projected body's mass cancels out in 1/2mv² = GMm/R. So the answer is (b) mass of the object.

The escape velocity of a satellite from the surface of earth does NOT… | MHT CET 2025 (19 Apr, Shift 2)

Q10MHT CET 2025 · 19 APR · SHIFT 2Easy

Escape Velocity

The escape velocity of a satellite from the surface of earth does NOT depend on

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Answer: (b)

$v_e = \sqrt{\frac{2GM}{R}}$ depends on $G$ , the earth's mass $M$ and radius $R$ .
The projected body's mass cancels out in $\frac{1}{2}mv^2 = \frac{GMm}{R}$ .
So the answer is (b) mass of the object.

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