The correct option is D |U|=|K.E|
Let us consider a satelite of mass m revolving around a planet of mass M at an orbital radius r.
Kinetic energy of the satellite is given by,
K.E=12mvo2
K.E=12mGMr (∵vo=√GMr)
K.E=GMm2r
Potential energy of the system is given by,
U=−GMmr
Now, Total energy of the system is given by,
T.E=K.E+U=GMm2r+(−GMmr)
T.E=−GMm2r
⇒|T.E|=|K.E|
⇒|U|=2|K.E|
Also, negative sign in the expression of T.E shows that the system is a bounded one.
Hence, option (D) is the correct answer.