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