1.

Two planets at mean distances d_(1) and d_(2) from the sun have their frequencies n_(1) and n_(2) respectively. Then

Answer»

`n_(1)^(2)d_(1)^(2)=n_(2)^(2)d_(2)^(2)`
`n_(2)^(2)d_(2)^(3)=n_(1)^(2)d_(1)^(3)`
`n_(1)d_(1)^(2)=n_(2)d_(2)^(2)`
`n_(1)^(2)d_(1)=n_(2)^(2)d_(2)`.

Solution :APPLYING Kepler.s law, `T^(2) prop R^(3)`
or `(T^(2))/(R^(3))`=CONSTANT
We know `T=(l)/(n),Rd` given
`(T^(2))/(R^(3))=(1)/(n^(2)).(1)/(d^(3))`=constant or `n^(2)d^(3)`=constant
For the two PLANETS,` n_(1)^(2)d^(3),=n_(2)^(2)d_(2)^(3)`


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