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

Answer

A, B, C, D

Explanation

`[E] = k[m]^(n)[o]^(y)[a]^(z)`
where , k is a dimensionless constent .
`:. [ML^(2)T^(-2)] = k[M]^(2)[T^(-1)]^(3)[L]^(3)`
Solving we get,
` c = 1, y =2 `
` c= 2 `
` E= k m n ^(2) e^(2) ` .