Question

Binding energy of a revolving satellite at height \(h\) is \(3.5\times10^8\,\text{J}\). Its potential energy is

• A. \(7.0\times10^8\,\text{J}\)
• B. \(-7.0\times10^8\,\text{J}\)
• C. \(-3.5\times10^8\,\text{J}\)
• D. \(3.5\times10^8\,\text{J}\)

Hint:

For satellites, potential energy is always twice the magnitude of binding energy and negative in sign.

Answer 1

The Correct Option is B

Step 1: Relation between binding energy and potential energy.
For a satellite in circular orbit: \[ E_b = -\frac{U}{2} \]

Step 2: Substitute given value.
\[ U = -2E_b = -2(3.5\times10^8) \] \[ U = -7.0\times10^8\,\text{J} \]