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Q.

The orbital velocity of a body near the surface of a planet ' A ' is equal to escape velocity of a body from the planet ' B '. If the masses of planets A and B are same, the ratio of their radii is

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a

2

b

1

c

12

d

13

answer is B.

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Detailed Solution

The orbital velocity for the planet A is given by vo=GMARA

the escape velocity from the surface of B is given by ve=2GMBRB

These two velocities are equal, MARA=2MBRB⇒RARB=12

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