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 $