The earth (mass `=6xx10^(24)kg`) revlves around the sun with angular velocity `2xx10^(-7)rads^(-1)` in a circular orbit of radius `1.5xx10^(11)km`. The force exerted by the sun on the earth in newton is

Options

A. zero
B. `18xx10^(25)`
C. `27xx10^(39)`
D. `36xx10^(21)`

Answer

D

Explanation

Gravitational force exerted by the sun on the earth will provide required centripetal force
`F=mRomega^(2)`
`=6xx10^(24)xx(1.5xx10^(11))(2xx10^(-7))^(2)`
`=36xx10^(21)N`