Two particles are executing simple harmonic motion at an instant of time 't' their displacements are y1=acos(wt) and y2=asin(wt) . Then the phase difference between y1 and y2 is
120∘
90∘
180∘
Zero
y1=acos(wt) =asinwt+π/2, here phase angle φ1=wt+π/2 y2=asin(wt), here phase angle φ2=wt phase difference =Δφ=φ1-φ2 Δφ=wt+π/2-wt=π2 radians Δφ=90∘ (in degrees)