The equations of two interfering waves are y1=b cos ω t and y2=b cos (ω t+φ) . For destructive interference the path difference is

Question

The equations of two interfering waves are y1=b cos ω t and y2=b cos (ω t+φ) . For destructive interference the path difference is (A) 0° (B) 360° (C) 180° (D) 720°

Tardigrade Admin · Accepted Answer

For destructive interference, path difference =(λ/2). Therefore, phase difference =(2 π/λ) ⋅ (λ/2)=π radian =180°.

Q. The equations of two interfering waves are $y_{1} = b cos ω t$ and $y_{2} = b cos (ω t + ϕ) .$ For destructive interference the path difference is

$0^{\circ}$

$36 0^{\circ}$

$18 0^{\circ}$

$72 0^{\circ}$

For destructive interference, path difference $= \frac{λ}{2}$ .
Therefore, phase difference $= \frac{2 π}{λ} \cdot \frac{λ}{2} = π$ radian $= 18 0^{\circ}$ .

Q. The equations of two interfering waves are y1​=bcosωt and y2​=bcos(ωt+ϕ). For destructive interference the path difference is

0∘

360∘

180∘

720∘