Home
Class 11
PHYSICS
The displacement of a particle of a stri...

The displacement of a particle of a string carrying a travelling wave is given by `y = (3.0cm) sin 6.28 (0.50x - 50t),` where x is in centimetre and t in second Find (a) the amplitude, (b) the wavelength, (c ) the frequency and (d) the speed of the wave.

Text Solution

Verified by Experts

Comparing with the standard wave equation `y = A sin (kx-omegat)`
`= Asin 2pi((x)/(lambda) - (t)/(T))`
We see that, amplitude A = 3.0 cm, wavelength` =lambda = (1)/(0.50)cm = 2.0cm,` and the frequency ` = V = (1)/(T) = 50 Hz.` The speed of the wave is `upsilon = v lambda`
`=(50 s^(-1) (2.0 cm)`
`=100 cm s^(-1)`
Promotional Banner

Topper's Solved these Questions

  • WAVE MOTION AND WAVES ON A STRING

    HC VERMA|Exercise Question for short Answer|8 Videos

  • WAVE MOTION AND WAVES ON A STRING

    HC VERMA|Exercise Objective -1|22 Videos

  • WAVE MOTION AND WAVES ON A STRING

    HC VERMA|Exercise Exercises|57 Videos

  • THE FORCES

    HC VERMA|Exercise Exercises|12 Videos

  • WORK AND ENERGY

    HC VERMA|Exercise Exercises|64 Videos

Similar Questions

Explore conceptually related problems

Figure shows a plot of the transverse displacements of the particles of a string at t = 0 through which a travelling wave is passing in the positive x-direction. The wave speed is 20 cms^-1 . Find (a) the amplitude, (b) the wavelength, (c) the wave number and (d) the frequency of the wave. .

The wave described by y = 0.25 sin (10pix - 2pif) , where x and y are in metres and t in seconds, is a wave travelling along the:

The equation of a transverse wave is given by y = 10 sin {pi (0.01 x - 2t)} where y and x are in cm and t is in seconds. Its frequency is ………..

The displacement y of a wave travelling in the x direction is given by y=(2 xx 10^(-3)) sin(600t - 2x + pi/3) , where x and y are measured in metres and t in second. The speed of the wave is

The displacement y of a wave travelling in the x direction is given by y=(2 xx 10^(-3)) sin(300t - 2x + pi/4) , where x and y are measured in metres and t in second. The speed of the wave is

The equation of a wave moving on string y = 8 sin {pi (0.002 x - 4t)} where x , y are in centimeter and t in seconds . The velocity of the wave is ……… .

The displacement y of a wave travelling in the x- direaction is given by y = 10^(-4) sin (600t -2x + pi//3) Where x is expreseend in metres and t is seconds. What is the speed of the wave motion (in ms^(-1) ) ?