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The energy E of an oscillating body in simple harmonic motion depends on its mass m, frequency n and amplitude A as  E=k(m)x(n)y(A)z The value of (x + y + z) is___________

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answer is 5.

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Detailed Solution

By using dimensional analysisML2T−2=MxT−1y(L)z=MxLzT−y⇒x=1,z=2, y=2⇒x+y+z=1+2+2=5
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The energy E of an oscillating body in simple harmonic motion depends on its mass m, frequency n and amplitude A as  E=k(m)x(n)y(A)z The value of (x + y + z) is___________