Question

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

• A. Both Statement I and Statement II are correct
• B. Both Statement I and Statement II are incorrect
• C. Statement I is correct but Statement II is incorrect
• D. Statement I is incorrect but Statement II is correct

Answer 1

The Correct Option is B

Step 1: Analyze Statement I 

• Total energy \( E = KE + PE \), and it is given that \( PE = -2KE \).
• From this relation, \( PE = 2E \), which contradicts the given statement.
• Hence, Statement I is incorrect.

Step 2: Analyze Statement II

• By energy relations, \( KE = \frac{|E|}{2} \).
• However, the given statement does not align with this result, making it incorrect.

Final Answer:

Both statements are incorrect.