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Two satellites , A and B , have masses m...

Two satellites , A and B , have masses m and 2m respectively . A is in a circular orbit of radius R , and B is in a circular orbit of radius 2R around the earth . The ratio of their energies , `K_A/K_B` is :

A

1

B

`sqrt((1)/(2))`

C

2

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
`K=(1)/(2)mv^(2)=(1)/(2)m(sqrt((GM)/(R)))^(2)=(GMm)/(2R)prop(m)/(R)`
`(K_(A))/(K_(B))=(m_(A))/(m_(B))xx(R_(B))/(R_(A))=(m)/(2m)xx(2R)/(R)=1`
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