Dimensionsal methods provide three major advantages in verification , deviation , and changing the system of units . Any empirical formula that is derived based on this method has to be verified and propportionality constants found by experimental means . The presence or absence of certain factors - non dimensional constants or variables - cannot be identified by this method . So every dimensionally correct relation cannot be taken as perfectly correct.
The energy of an `SHM` is depend on mass `m` , frequency `f` , and amplitude `A` of oscillation . The relation is

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) ` .