Question

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)`

Answer 1

Correct Answer - 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`