At a height H from the surface of earth, the total energy of a satellite is equal to the potential energy of a body of equal mass at a height 3R from the surface of the earth(R = radius of the earth). The value of H is [EAMCET 2014]

We know that, the total energy of the satellite,E=-12GMemRAt a height H from the surface of the earth, the total energy of satellite,E=-12GMem(R+H)                          …(i)and the potential energy of the satellite,U=-GMem(R+3R)=-GMem4R                        …(ii)From given conditlon, E=U⇒-12·GMem(R+H)=-GMem4R⇒  12R+2H=14R⇒2H=4R-2R⇒H=R