# The total energy of a particle, executing simple harmonic motion is Option 1) where is the displacement from the mean position. Option 2)   where is the displacement from the mean position. Option 3) independent of  where is the displacement from the mean position. Option 4) where is the displacement from the mean position.

Under simple harmonic motion, total energy

$\dpi{100} =\frac{1}{2}ma^{2}\omega ^{2}$

Total energy is independent of $\dpi{100} x$.

Total energy of s.u.w =$\frac{1}{2}mw^{2}A^{2}$

i.e total energy is indepedent of x

Option 1)

where is the displacement from the mean position.

Incorrect option

Option 2)

where is the displacement from the mean position.

Incorrect option

Option 3)

independent of

where is the displacement from the mean position.

Correct option

Option 4)

where is the displacement from the mean position.

Incorrect option

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