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Question: When the displacement is half of the amplitude. The ratio of potential energy to the total energy is...

When the displacement is half of the amplitude. The ratio of potential energy to the total energy is -

A

12\frac { 1 } { 2 }

B

14\frac { 1 } { 4 }

C

1

D

18\frac { 1 } { 8 }

Answer

14\frac { 1 } { 4 }

Explanation

Solution

P.E. = 12\frac { 1 } { 2 }mw2A2

So ratio at x = A/2 ̃14\frac { 1 } { 4 }