Given below are two statements: Statement I: If E be the total energy of a satellite moving around the earth, then its potential energy will be E 2 . Statement II: The kinetic energy of a satellite revolving in an orbit is equal to the half the magnitude of total energy E . In the light of the above statements, choose the most appropriate answer from the options given below.

Step-by-step solution

Let m be the mass of the satellite. The potential energy of the satellite is U = - G M m r The velocity of the satellite is given by v = G M r Kinetic energy is given by K = m v 2 2 = m 2 G M r = G M m 2 r The total mechanical energy is the sum of potential and kinetic energy. So, T = K + U = G M m 2 r - G M m r = - G M m 2 r Hence, both the statements are false.