Question

The maximum potential energy of a block executing S.H.M. is E and amplitude of oscillation is 'A'. The kinetic energy of the block at amplitude A/2 is

• A. \(\frac{3\text{E}}{4}\)
• B. \(\text{E}\)
• C. \(\frac{2\text{E}}{4}\)
• D. \(\frac{5\text{E}}{4}\)

Hint:

Total energy is E; subtract the potential energy at A/2.

Answer 1

The Correct Option is A

Step 1: Formula
$K = \frac12k(A^2-x^2)$ with $x = \frac A2$.

Step 2: Evaluate
$K = \frac12k\cdot\frac34A^2 = \frac34E$. Option (A).

Final Answer:
3E/4. \[ \boxed{\text{(A)}\ \frac{3E}{4}} \]