1.

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` isA. `pi//6`B. `pi//3`C. `pi//4`D. `pi//2`

Answer» Correct Answer - A
`phi_(1)=tan^(-1)(B//A)=tan^(-1)((sqrt(3)/(2))/((1)/(2)))=tan^(-1)(sqrt(3))=(pi)/(3)`
`phi_(2)=tan^(-1)(B//A)=tan^(-1)(((1)/(2))/((sqrt(3))/(2)))=tan^(-1)((1)/(sqrt(3)))=(pi)/(6)`
`deltaphi=phi_(1)-phi_(2)=(pi)/(3)-(pi)/(6)=(pi)/(6)`


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