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Question

For a transverse wave Statement 1 : Total average energy density is the sum of average K.E. density and average P.E. density Statement 2 : Average K.E. density is equal to the average P.E. density

A
Statement 1 is correct and Statement 2 is incorrect.
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B
Statement 2 is correct and Statement 1 is incorrect.
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C
Both the statements are correct.
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D
Both the statements are incorrect.
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Solution

The correct option is C Both the statements are correct.We know, Total energy density =Avg. K.E + Avg . P.E ⟨dEdx⟩=⟨dKdx⟩+⟨dUdx⟩ Total energy density=14μω2A2+14μω2A2 ∴Total energy density=12μω2A2 ⇒ Both the statements are correct.

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