AP EAMCET202021 Sep 2020Evening ShiftPhysicsOscillationsActual
A body executes simple harmonic motion with an amplitude (A ). At what displacement, from the mean position, is the potential energy of the body one fourth of its total energy?
Options
- A( A 4 )
- B( A 2 )
- C( 3 A 4 )
- D(3 A )
Correct answer
B. ( A 2 )
Step-by-step solution
According to question, In simple harmonic motion, potential energy (= 1 4 ) (total energy) ( 1 2 m ^2 y^2= 1 4 [ 1 2 m ^2 A^2 ] y^2= A^2 4 y= A 2 )