Home
Class 12
PHYSICS
The particles displacement in a wave is ...

The particles displacement in a wave is given by
`y = 0.2 xx 10^(-5) cos (500 t - 0.025 x)`
where the distances are measured in meters and time in seconds. Now

A

wave velocity is `2 xx 10^(4)ms^(-1)`

B

particles velocity is `2 xx 10^(4)ms^(-1)`

C

initial phase difference is `(pi)/(2)`

D

wavelength of the wave is `(80pi)m`

Text Solution

Verified by Experts

The correct Answer is:
A, D
Comparing with `y = A cos (omegat - kx)`
`omega = 500s^(-1), k = 0.025 m^(-1)`,
`v = (500)/(0.025) = 2 xx 10^(4)m//s , lambda = (2pi)/(0.025) = 80 pi m`
`y = A cos (omegat - kx)`
Promotional Banner

Topper's Solved these Questions

  • TRAVELLING WAVES

    RESONANCE|Exercise Exercise- 2 PART IV|9 Videos

  • TRAVELLING WAVES

    RESONANCE|Exercise Exercise- 3 PART I|19 Videos

  • TRAVELLING WAVES

    RESONANCE|Exercise Exercise- 2 PART II|19 Videos

  • TEST SERIES

    RESONANCE|Exercise PHYSICS|127 Videos

  • WAVE ON STRING

    RESONANCE|Exercise Exercise- 3 PART I|19 Videos

Similar Questions

Explore conceptually related problems

A wave equation which gives the displacement along the y-direction is given by y = 10^(-4) sin(60t + 2x) where x and y are in meters and t is time in secinds. This represents a wave

The displacement of a particle is given by y= 5 xx 10 ^(-4) sin (100 t-50 x) , where x is in meter and t in sec, find out the velocity of the wave

A wave equation which gives the displacement along the y direction is given by y=10^(-4)sin(60t+2x) , where x and y are in meters and t is time in seconds This represents a wave

A wave equation which given the dispplacement along the y-direction is given by , y = 10^(-4)sin (60t +2x) where x and y are in matre and t is time in second. This represents a wave

A wave equation which gives the displacement along y -direction is given by y=0.001 sin (100t +x) where x and y are in meterand t is time in second. This represented a wave

A wave equation which gives the displacement along the Y direction is given by the equation y=10^4sin(60t+2x) , where x and y are in metres and t is time in seconds. This represents a wave

The equation of a plane progressive wave travelling along positive direction of x- axis is y=r sin [(2pit)/(T)-(2pix)/(lambda)] where y= displacement of particle at (x,t),r= amplitude of vibratio of particle, T= time period of wave motion, lambda= wavelength of wave , x= starting distance of wave from the origin. Velocity of wave, upsilon=vlambda=(lambda)/(T)= constant. Acceleration of wave, a=0 . Velocity of particle at time t=(dy)/(dt) Acceleration of particle at time t=(d^(2)y)/(dt^(2)) A harmonic wave travelling along positive direction of x axis is represented by y=0.25xx10^(-3)sin (500t-0.025x) where x and y are in metre and t is in second The amplitude of vibration of particle is

When two sound waves travel in the same direction in a medium, the displacement of a particle located at x at time t is given by y_1=0.05 cos (0.50 pi x-10 pi t) y_2=0.05 cos (0.46 pi x-92 pi t) where y_1,y_2 and x in meters and t in seconds. The speed of sound in the medium is:

A plane electromagnetic wave in a non-magnetic dielectric medium is given by vecE = vecE_(0)(4 xx 10^(-7) x - 50 t) with distance being in meter and time in seconds. The dielectric constant of the medium is :

The equation of a transverse wave travelling in a rope is given by y = 5 sin (4t - 0.02 x) , where y and x are in cm and time t is in second. Then the maximum transverse speed of wave in the rope is