Two waves of same amplitude and same frequency reach a point in a medium simultaneously. The phase difference between them for resultant amplitude to be zero, will be

4 π

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 π

No worries! We‘ve got your back. Try BYJU‘S free classes today!

π

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

0^{\circ}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $π$
The equation of the two superimposing waves can be give by
$y_{1} = a sin (ω t)$ and $y_{2} = a sin (ω t + ϕ)$ . So, the equation of the resultant wave is $y = y_{1} + y_{2} = a (sin (ω t) + sin (ω t + ϕ)) = 0 \Rightarrow sin (ω t) = - sin (ω t + ϕ) \Rightarrow ϕ = π, 3 π . . .$ .

Suggest Corrections

Similar questions

Q. Two waves of the same frequency and same amplitude are superimposed to produce a resultant disturbance wave of the same amplitude. What is the phase difference between the two original waves?

Q. The resultant amplitude, when two waves of same frequency but with amplitudes

a_{1}

and

a_{2}

superimpose with a phase difference of

π / 2

will be

Q. Two waves of same frequency but amplitudes equal to

a

and

2 a

travelling in the same direction superimpose out of phase. The resultant amplitude will be

Two sine waves travel in the same direction in a medium. The amplitude of each wave is A and the phase difference between the two waves is $120^{0}$ . The resultant amplitude will be

Q. Assertion :If two waves of same amplitude produce a resultant wave of same amplitude, then the phase difference between them will be

120^{o}

. Reason: The resultant amplitude of two waves is equal to sum of amplitude of two waves.

Join BYJU'S Learning Program

Two waves of same amplitude and same frequency reach a point in a medium simultaneously. The phase difference between them for resultant amplitude to be zero, will be

The correct option is D πThe equation of the two superimposing waves can be give by y1=asin(ωt) and y2=asin(ωt+ϕ). So, the equation of the resultant wave is y=y1+y2=a(sin(ωt)+sin(ωt+ϕ))=0⇒sin(ωt)=−sin(ωt+ϕ)⇒ϕ=π,3π....