A satellite is orbiting the earth in a circular orbit of radius `r`. Its

Options

A. Knetic enegy varies as r
B. angular momentum varies as `(1)/(sqrt(r ))`
C. linear momentum varies as `(1)/( r)`
D. frequency of revolution varies as `(1)/(r^(3//2))`

Answer

D

Explanation

`K prop (1)/( r)`
Hence, option (a) is incorrect.
Angular momentum
`L=mvr=msqrt((GM_(E))/( r))r=msqrt(GM_(E)r) :. L prop sqrt(r )`
Hence, option ( c) is incorrect.
Frequency of revolution, `v=(1)/(T)=(1)/(2pi)sqrt((GM_(E))/(r^(3))) :. v prop (1)/(r^(3//2)`