A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R itself. Then the ratio of the speed of this body in the orbit to the escape velocity from the planet is :
A body is moving in a low circular orbit about a planet of mass M and radius R. The radius of the orbit can be taken to be R itself. Then the ratio of the speed of this body in the orbit to the escape velocity from the planet is :
Option 1 -
2
Option 2 -
1
Option 3 -
√2
Option 4 -
1√2
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1 Answer
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Correct Option - 4
Detailed Solution:Escape velocity = √ (2GM/R) = v? f
Orbital speed = √ (GM/R) = V?
V? /V? = 1/√2
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. (i)
. (ii)
= 107 m
= 10,000 km
R + h = 10,000
h = 10,000 – 6400 = 3600 km
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