If potential energy of a body of mass m on the surface of earth is taken as zero then its - Physics - Gravitation

Question

If potential energy of a body of mass m on the surface of earth is
taken as zero then its potential energy at height h above the
surface of earth is (R is radius of earth and M is the mass of
earth)
a)-GMm/(R+h)
b)-GMm/(h)
c)GMmh/R(R+h)
d)GMmh/(h+2R)

Pratyay Ghosh · Accepted Answer

The gravitational potential energy at height h,
U=-GMmR+h+GMmR=GMmhRR+h

If potential energy of a body of mass m on the surface of earth is taken as zero then its potential energy at height h above the surface of earth is (R is radius of earth and M is the mass of earth)a)-GMm/(R+h)b)-GMm/(h)c)GMmh/R(R+h)d)GMmh/(h+2R)

If potential energy of a body of mass m on the surface of earth is taken as zero then its potential energy at height h above the surface of earth is (R is radius of earth and M is the mass of earth)
a)-GMm/(R+h)
b)-GMm/(h)
c)GMmh/R(R+h)
d)GMmh/(h+2R)