Wave Mechanics Question 541

Question: When the displacement of a particle executing simple harmonic motion is half of its amplitude, the ratio of its kinetic energy to potential energy

Options:

A) 1 : 3

B) 2 : 1

C) 3 : 1

D) 1 : 2

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Given, $ x=\frac{A}{2} $
$ \

Therefore from,x=A,\sin ,\omega t\Rightarrow \omega t=30^{o} $ And, $ \frac{KE}{PE}={{\cot }^{2}}\omega t={{(\sqrt{3})}^{2}}=3 $