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A space station is set up in space at a distance equal to earth’s radius from the surface of earth. Suppose a satellite can be launched from the space station also. Let v₁ and v₂ be the escape velocities of the satellite on the earth’s surface and space station respectively, then

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v₂ = v₁

v₂ < v₁

v₂ > v₁

1, 2 and 3 are valid depending on the mass of satellite.

answer is B.

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Detailed Solution

From the surface of earth
Escape velocity $v_{1} = \sqrt{\frac{2 GM}{R}}$
$\frac{1}{2} {mv}_{2}^{2} - \frac{GMm}{2 R} = 0$

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