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Q.

Planet A has mass M and radius R. Planet B has half the mass and half the radius of planet  A. If the escape velocities from the planets A and B are uA and uB respectively , then uAuB=n4 . The value of n is

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a

3

b

2

c

1

d

4

answer is D.

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Detailed Solution

Escape Velocity =Ve=2GMR      ​⇒VAVB=MAMB×RBRA​⇒VAVB=MM2×R2R   ​⇒VAVB=1−−−1​⇒VAVB=n4Given −−−−2  ​⇒from 1 and 2 we get ⇒n=4
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