Home
Class 11
PHYSICS
The equation of a travelling and station...

The equation of a travelling and stationary waves are `y_1=asin(omegat-kx)` and `y_2=asinkxcosomegat`. The phase difference between two points `x_1=(pi)/(4k)` and `(4pi)/(3k)` are `phi_1` and `phi_2` respectively for two waves, where `k` is the wave number. The ratio `phi_(1)//phi_(2)`

A

`6//7`

B

`16//3`

C

`12//13`

D

`13//12`

Text Solution

Verified by Experts

The correct Answer is:
C
`Deltax=x_2-x_1=((4)/(3)-(1)/(4))(pi)/(k)=(13)/(12)(pi)/(k)`
`sinkx_1=sink((pi)/(4k))=sin(pi)/(4)ne0`
`sinx_2=sink((4pi)/(3k))=sin(pi+(pi)/(3))ne0`
`x_1` and `x_2` are not the nodes
`(2pi)/(k)gtDelta Xgt(pi)/(k)implieslamdagt Delta x(lamda)/(2)`
For `phi_1=pi,phi_2=k(Delta x)=k((13pi)/(12k))=(13pi)/(12)`
`(phi_1)/(phi_2)=(pi)/((13pi//12))=(12)/(13)`.
Promotional Banner

Topper's Solved these Questions

  • WAVES AND ACOUSTICS

    A2Z|Exercise AIIMS Questions|55 Videos

  • WAVES AND ACOUSTICS

    A2Z|Exercise NEET Questions|46 Videos

  • WAVES AND ACOUSTICS

    A2Z|Exercise Doppler Effect|25 Videos

  • VECTORS

    A2Z|Exercise Chapter Test|29 Videos

  • WORK, ENERGY, POWER AND COLLISION

    A2Z|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

Equations of a stationery and a travelling waves are y_(1)=a sin kx cos omegat and y_(2)=a sin (omegat-kx) The phase differences between two between x_(1)=(pi)/(3k) and x_(2)=(3pi)/(2k) are phi_(1) and phi_(2) respectvely for the two waves. The ratio (phi_(1))/(phi_(2)) is

Two waves are given by y_(1)=asin(omegat-kx) and y_(2)=a cos(omegat-kx) . The phase difference between the two waves is -

Two waves are given by y_(1) = a sin (omega t - kx) and y_(2) = a cos (omega t - kx) . The phase difference between the two waves is

Two waves are represented by Y_1=a_1 cos (omegat-kx) and Y-2 =a_2 sin (omegat-kx+pi//3) Then the phase difference between them is-

Equations of a stationary and a travelling waves are as follows y_(1) = sin kx cos omega t and y_(2) = a sin ( omega t - kx) . The phase difference between two points x_(1) = pi//3k and x_(2) = 3 pi// 2k is phi_(1) in the standing wave (y_(1)) and is phi_(2) in the travelling wave (y_(2)) then ratio phi_(1)//phi_(2) is

The phase difference between the waves y=acos(omegat+kx) and y=asin(omegat+kx+(pi)/(2)) is

Two travelling waves y_1=Asin[k(x-ct)] and y_2=Asin[k(x+ct)] are superimposed on string. The distance between adjacent nodes is

Assertion: Two equations of wave are y_(1)=A sin(omegat - kx) and y_(2) A sin(kx - omegat) . These two waves have a phase difference of pi . Reason: They are travelling in opposite directions.

The equation of the displacement of two particles making SHM are represented by y_(1) = a sin (omegat +phi) & y_(2) - a cos (omegat) . Phase difference between velocities of two particles is