Force on a 1 kg mass on earth of radius R is 10 N. Then the force on a satellite revolving around the earth in the mean orbital radius `3R//2` will be (mass of satellite is 100 kg):

Options

A. `4.44xx10^(2)N`
B. `500 N`
C. `3.33xx10^(2)N`
D. `6.66xx10^(2)N`

Answer

A

Explanation

`F=(GMm)/(R^(2)) rArr 10=(GM)/(R^(2))`
When radius of satellite `r=(3)/(2)R`. Then
`F.=(GMm.)/(r^(2))=(GMxx100)/(((3)/(2)R)^(2))=(GM)/(R^(2)).(100)/(9)xx4=10xx(400)/(9)`
`=4.4xx10^(2)N`.
Thus correct choice is (a).