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The energy E of an oscillating body in s...

The energy `E` of an oscillating body in simple harmonic motion depends on its mass `m`, frequency `n` and amplitude `a` using the method of dimensional analysis find the relation between E ,m, n and a .

A

`M f//A^(2)`

B

`M fA^(-2)`

C

` Mf^(2) A^(-2)`

D

` MF^(2) A^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
`E prop m^(a) f^(b) A^(c )`
`ML^(2) T^(-2) = m^(a) T^(-b) L^( c )`
`:. a = 1 , b = 2 , c = 2`
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