Home
Class 11
PHYSICS
For the wave shown in figure, write the ...

For the wave shown in figure, write the equation of this wave if its position is shown at `t= 0`. Speed of wave is `v = 300m//s`.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
The amplitude `A= 0.06 m`
`:. (5)/(2)lambda = 0.2 m`
`lambda= 0.08 m`
`f = (v)/(lambda)=(300)/(0.08) = 3750 Hz`
`k = (pi)/(lambda) = 78.5 m^(-1)`
and `omega =2pif = 23562 rad//s`
At `t = 0`,`x = 0 , (dely)/(delx) = "positive"`
and the given curve is a sine curve.
Hence, equation of wave travelling in positive x-direction should have the form,
`y(x, t) = A sin(kx - omegat)`
Substituting the values, we have
`y(x, t) = (0.06 m) sin [(78.5 m^(-1) x = (23562 s^(-1)) t] m`
Promotional Banner

Topper's Solved these Questions

  • WAVE MOTION

    DC PANDEY ENGLISH|Exercise Miscellaneous Examples|9 Videos

  • WAVE MOTION

    DC PANDEY ENGLISH|Exercise Exercise 17.1|4 Videos

  • WAVE MOTION

    DC PANDEY ENGLISH|Exercise Type 5|1 Videos

  • VECTORS

    DC PANDEY ENGLISH|Exercise Medical enrances gallery|9 Videos

  • WORK, ENERGY & POWER

    DC PANDEY ENGLISH|Exercise Level 2 Comprehension Based|2 Videos

Similar Questions

Explore conceptually related problems

For the wave shown in figure, the equation for the wave, travelling along +x acis with velocity 350 ms^(-1) when its position at t = 0 is as shown

in a sine wave ,postive of different particles at time t=0 is shown in figure. The equation for this wave if it is travelling along postive x -axis can beB

The position of a transverse wave travelling in medium along positive x-axis is shown in figure at time t=0. Speed of wave is v=200 m/s Equation of the wave is (in SI unit)

The position of a transverse wave travelling in medium along positive x-axis is shown in figure at time t=0. Speed of wave is v=200 m/s Frequency of the wave is

If the speed of the wave shown in the figure is 330m//s in the given medium then the equation of the wave propagating in the positive x-direction will be (all quantities are in M.K.S units)

Write the equation for the fundamental standing sound waves in a tube that is open at both ends. If the tube is 80 cm long speed of wave is 330 m//s . Represent the amplitude of the wave at an antinode by A .

The equation of a wave travelling along the positive x-axis, as shown in figure at t = 0 is given by

the equation of a wave travelling along the positive x - axis ,as shown in figure at t = 0 is given by

Figure shows a snapshot for a travelling wave. The equation of wave at t=0 will be

A wave pulse on a string on a string has the dimension shown in figure. The wave speed is v=1 cm /s . If point O is a free end. The shape of wave at time t = 3s si