Progressive waves are represented by the equation y1=a sin (ω t-x) and y2=b cos (ω t-x) The phase difference between waves is:

Question

Progressive waves are represented by the equation y1=a sin (ω t-x) and y2=b cos (ω t-x) The phase difference between waves is: (A)  0°  (B)  45°  (C)  90°  (D)  180°

Tardigrade Admin · Accepted Answer

As it is dear that the phase difference between cos θ and sin θ representing two simple harmonic motion is 90° .

Q. Progressive waves are represented by the equation $y_{1} = a sin (ω t - x)$ and $y_{2} = b cos (ω t - x)$ The phase difference between waves is:

$0^{\circ}$

$45^{\circ}$

$90^{\circ}$

$180^{\circ}$

As it is dear that the phase difference between $cos θ$ and $s in θ$ representing two simple harmonic motion is $90^{\circ}$ .

Q. Progressive waves are represented by the equation y1​=asin(ωt−x) and y2​=bcos(ωt−x) The phase difference between waves is:

0∘

45∘

90∘

180∘