Show the nature of the following graph for a satellite orbiting the earth.
(a) `K E` vs orbitial radius `R` (b) `PE` vs orbital radius `r` (c ) `TE` vs orbital radius `R`.

Explanation

To solve the question, we will analyze the kinetic energy (K.E.), potential energy (P.E.), and total energy (T.E.) of a satellite orbiting the Earth as functions of the orbital radius \( R \). We will derive the equations for each type of energy and then describe the nature of the graphs.

### Step-by-Step Solution:

1. **Kinetic Energy (K.E.) Calculation:**
- The velocity \( v \) of a satellite in orbit is given by:
\[
v = \sqrt{\frac{GM}{R}}
...