Two planets at mean distance `d_(1)` and `d_(2)` from the sun and their frequencies are n and n respectively then

Options

A. `n_(1)^(2)d_(1)^(2)`
B. `n_(1)^(3)d_(1)^(2)=n_(2)^(3)d_(2)^(2)`
C. `n_(1)^(2)d_(1)^(3)=n_(2)^(2)d_(2)^(3)`
D. `n_(1)d_(1)=n_(2)d_(2)`

Answer

C

Explanation

For a satellite `T^(2)prop d^(3)` but `T=(1)/(n)`
`therefore (1)/(n) prop d^(3) " " therefore n^(2)d^(3)=` constant
`therefore n_(1)^(2)d_(1)^(3)=n_(2)^(2)d_(2)^(3)`