The correct option is A 1 MJ
Given:
P.E.=−2 MJ
For a satellite of mass m revolving around a planet of mass M in a circular orbit of radius r.
So, the potential energy of satellite will be
P.E.=−GMmr
And kinetic energy of satellite moving in an orbit will be
∴K.E.=GMm2r
So, T.E.=P.E.+K.E.
⇒T.E.=−GMm2r
Since, binding energy is the absolute value of total energy.
∴ Binding Energy =|T.E|=GMm2r
So, binding energy =|P.E|2=1 MJ
Hence, option (a) is correct.
Alternative method:
Binding energy =−TE=−PE2=1 MJ
Why this question: To make studentsunderstand the concept of a bound system and its relationship with total energy.