In the solar system, the Sun is in the focus of the system for Sun-earth binding system. Then the binding energy for the system will be [given that radius of the earth's orbit round the Sun is `1.5 xx 10^(11) m` and mass of the earth `= 6 xx 10^(24) kg`]

Options

A. `2.7xx10^(33)J`
B. `5.4xx10^(33)J`
C. `2.7xx10^(30)J`
D. `5.4xx10^(30)J`

Answer

A

Explanation

Binding energy `GMm//R`
`M=` mass of the sun `=10^(30)kg `
`m=` mass of the earth `=6xx10^(24)kg`
`R=1.5xx10^(11)m`
Binding energy of the system is
`(6.67xx10^(-11)xx10^(30)xx6xx10^(24))/(1.5xx10^(11))`