The phase angle between the two projections of uniform circular motion on any two mutually perpendicular diameter is

Options

A. zero
B. `pi//2`
C. `3pi//4`
D. `pi`

Answer

B

Explanation

`x=Asinomegat" ... (i)"`
`y=Asin(omegat+(pi)/(2))`
`=Acosomegat" ... (ii)"`
Squaring and adding equation (i) and (ii),
`x^(2)+y^(2)=A^(2)(sin^(2)omegat+cos^(2)omegat)`
`x^(2)+y^(2)=A^(2)`
This is standard equation of circle.