A planet is revolving in an elliptical orbit about the sun. Its closest distance is R. If `K_(1) and K_(2)` are the maximum and minimum kinetic energies of the planet, `K_(1)//K_(2)`=

Options

A. `R//r`
B. `sqrt(R//r)`
C. `R^(2)//r^(2)`
D. 1

Answer

c

Explanation

`(k_(1))/(k_(2))=((1)/(2)mv_(1)^(2))/((1)/(2)mv_(2)^(2))=((v_(1))/(v_(2)))^(2)`
`(k_(1))/(k_(2))=((R)/(r))^(2)`