Home
Class 12
PHYSICS
If two waves represented by y(1)=4sinome...

If two waves represented by `y_(1)=4sinomegat` and `y_(2)=3sin(omegat+(pi)/(3))` interfere at a point find out the amplitude of the resulting wave

Text Solution

Verified by Experts

`a_(1)=4,a_(2)=3, phi =pi/3`. Resultant amplitude `A=sqrt(a_(1)^(2) + a_(2)^(2) + 2a_(1)a_(2)cosphi)=sqrt((4)^(2) + (3)^(2) + 2.(4)(3)cos (pi/3)) implies A=6`
Promotional Banner

Topper's Solved these Questions

  • RAY OPTICS

    VMC MODULES ENGLISH|Exercise Example|21 Videos
  • RAY OPTICS

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE-1|1 Videos
  • QUIZ

    VMC MODULES ENGLISH|Exercise PHYSICS|30 Videos
  • RAY OPTICS AND WAVE OPTICS

    VMC MODULES ENGLISH|Exercise IMPECCABLE|58 Videos

Similar Questions

Explore conceptually related problems

If the two waves represented dy y_(1)=4cos omegat and y_(2)=3 cos(omegat+pi//3) interfere at a point, then the amplitude of the resulting wave will be about

If two waves represented by y1=4sinῳt and y2= 3sin(ῳt+π/4) interfere at apoint.Find out the amplitude of the resulting wave .

Two waves represented by y=a" "sin(omegat-kx) and y=a" " sin(omegat-kx+(2pi)/(3)) are superposed. What will be the amplitude of the resultant wave?

Two waves represented by y=a" "sin(omegat-kx) and y=a" " sin(omega-kx+(2pi)/(3)) are superposed. What will be the amplitude of the resultant wave?

Two waves are represented by: y_(1)=4sin404 pit and y_(2)=3sin400 pit . Then :

Two waves y_1 = 3 sin omegat cm and Y = 4 cos (omegat+pi/2) cm product the interference pattern. Then the amplitude of the resultant wave will be

Two waves represented by y=asin(omegat-kx) and y=acos(omegat-kx) are superposed. The resultant wave will have an amplitude.

When two progressive waves y_(1) = 4 sin (2x - 6t) and y_(2) = 3 sin (2x - 6t - (pi)/(2)) are superimposed, the amplitude of the resultant wave is

When two progressive waves y_(1) = 4 sin (2x - 6t) and y_(2) = 3 sin (2x - 6t - (pi)/(2)) are superimposed, the amplitude of the resultant wave is

Equations of two progressive wave are given by y_(1) = asin (omega t + phi_(1)) and y_(2) = a sin (omegat + phi_(2)) . IF amplitude and time period of resultant wave is same as that of both the waves, then (phi_(1)-phi_(2)) is