Class 11 NEET Physics Waves Questions Questions

Given : x=a‌cos(ωt+δ)
and y=a‌cos(ωt+α) .......(i)
where, δ=α+

π

2

∴ x=a‌cos(ωt+α+

π

2

)
=−a‌sin(ωt+α) ......(ii)
Given the two waves are acting in perpendicular direction with the same frequency and phase difference

π

2

.
From equations (i) and (ii),
x2+y2=a2
which represents the equation of a circle.