If `alpha` and `beta` denote the maximum velocity and maximum acceleration of a simple harmonic oscillator, then its amplitude of vibration is

Options

A. `alpha^(2)beta`
B. `beta^(2)alpha`
C. `a^(2)//beta`
D. `beta^(2)//alpha`

Answer

C

Explanation

`(v_(m))/(a_(m))=(prop)/(beta)=(1)/(omega) thereforeomega=(beta)/(prop)`
`v_(m)=Aomega" .... (i)"`
Substitute value of `omega` in (i)
`prop=Axx(beta)/(prop)`
`therefore A=(prop^(2))/(beta)`