Q.

A planet has radius 136 th of the radius of the earth. The escape velocity on the surface of the planet was found to be 16 times the escape velocity from the surface of the earth. The planet is surrounded by a thin layer of atmosphere having thickness h (<< radius of the planet). The average density of the atmosphere on the planet is d and acceleration due to gravity on the surface of the earth is ge. Find the value of atmospheric pressure on the surface of the planet.

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a

4dgeh

b

2dgeh

c

8dgeh

d

6dgeh

answer is A.

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Detailed Solution

Vescape =2gR Vescape planet Vescape earth =gPRPgeRe 16=gPge136gp=6ge
Atmospheric pressure = dgph
= 6dgeh

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