The minimum phase difference between the two simple harmonic oscillations
`x_(1)=(1//2)sinomegat+(sqrt(3)//2)cosomegat and`
`x_(2)=(sqrt(3)//2)sinomegat+(1//2)cosomegat` is

Options

A. `30^(@)`
B. `60^(@)`
C. `45^(@)`
D. `0^(@)`

Answer

A

Explanation

`y_(1)=cos60sinomega+sin60cosomegat`
`=sin(omegat+60^(@))`
`y_(2)=cos30sinomegat+sin30cosomega ne sin (omegat+30^(@))`
`:.` Phase different
`Deltaphi=phi_(1)-phi_(2)=omegat+60-omegat-30=30^(@)`