Wave Mechanics Question 569

Question: A linear harmonic oscillator of force constant $ 2\times 10^{6}N/m $ and amplitude 0.01 m has a total mechanical energy of 160 J. Its

Options:

A) potential energy is 160 J

B) potential energy is 100 J

C) potential energy is zero

D) potential energy is 120 J

Show Answer

Answer:

Correct Answer: B

Solution:

[b] Force constant $ k=2\times 10^{6}N/m $ Amplitude $ (x)=0.01m $ Potential Energy $ =\frac{1}{2}kx^{2} $

$ =\frac{1}{2}\times (2\times 10^{6})\times {{(0.01)}^{2}}=100J $