- Home
- Standard 11
- Physics
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 $\frac{E}{2}$.
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
Both Statement $I$ and Statement $II$ are correct
Both Statement $I$ and Statement $II$ are incorrect
Statement $I$ is incorrect but Statement $II$ is correct
Statement $I$ is correct but Statement $II$ is incorrect
Solution
Energy of satellite in orbit $E=\frac{- GMm }{2 R }$.
$PE$ of satellite in orbit $U=\frac{-G M m}{R}$
$\Rightarrow U =2 E$
$KE$ of satellite in orbit $K = E – U$
$K =\frac{ GMm }{2 R }=(- E )$
