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  • 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  a

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 \nu _{A} and \nu _{B}, respectively, then \frac{\nu _{A}}{\nu _{B}}=\frac{n}{4}. The value of n is :
Option: 1 4
Option: 2 1
Option: 3 2
Option: 4 3
 

Answers (1)

best_answer

 

 

v_{e}=\sqrt{\frac{2GM}{R}}

\therefore \frac{v_{1}}{v_{2}}=\frac{\sqrt{\frac{2GM}{R}}}{\sqrt{\frac{2GM/2}{R/2}}}=1=\frac{n}{4}

\Rightarrow n=4

 

Hence the correct option is (1).

Posted by

avinash.dongre

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