Home
Class 12
PHYSICS
A wave travelling along the x-axis is de...

A wave travelling along the x-axis is described by the equation `v(x, t) = 0.005 cos(alpha x - betat)`. If the wavelength and the time period of the wave are `0.08m` and `2.0s`, respectively, then `alpha and beta` in appropriate units are

A

`alpha =25.00 pi,beta =pi`

B

`alpha =(0.08)/(pi),beta=(2.0)/(pi)`

C

`alpha=(0.04)/(pi),beta=(1.0)/(pi)`

D

`alpha=12.50 pi,beta=(pi)/(2.0)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • WAVES

    MOTION|Exercise EXERCISE -4 (Level -II) (previous year JEE Advanced)|10 Videos
  • WAVES

    MOTION|Exercise EXERCISE -3 (Level -II) (Subjective JEE Advanced)|12 Videos
  • WAVE OPTICS

    MOTION|Exercise EXERCISE - 4 (Level - II) Previous Year | JEE Main|16 Videos
  • WORK, POWER & ENERGY

    MOTION|Exercise Exercise - 3 Section-B|22 Videos

Similar Questions

Explore conceptually related problems

A wave travelling along the x-axis is described by the equation y (x, t) = 0.005 sin ( alphax - betat ). If the wavelength and time period of the wave are 0.08 m and 2 s respectively, then alpha, beta in appropriate units are

A transverse periodic wave is established on a string. The wave is described by the expression y= 0.005 sin(20.0x - 2.4pift) where y is in meters when x and t are in meters and seconds, respectively. If the wave travels with a speed of 20.0 m/s, what is its frequency: f?

A progressive wave is travelling along the positive direction of the x-axis. For this wave, amplitude = 5 cm, period = 0.2 s and wavelength = 30 cm The equation of the wave using SI units is given by

The equation y=0.15 sin 5 x cos 3000 t , describes a stationary wave. The wavelength of the stationary wave is

A harmonic wave travelling along the position direction of X-axis is represented by the equation : xi=0.3xx10^(-4) cos (220/7t-1.57x) , where xi , t ant x are in cm , second and metre respectively.Deduce the (i)amplitude (ii)wavelength and (iii)time period.

If alpha and beta are the roots of the equation x^(2)+sqrt(alpha)x+beta=0 then the values of alpha and beta are

A wave is represented by the equation y=0.5 sin (10 t-x)m . It is a travelling wave propagating along the + x direction with velocity

A wave travelling along a string is given by y(x, t) = 20 sin 2pi (t - 0.003 x) x, y are in cm and t is in seconds. Find the amplitude, frequency, wavelength and velocity of the wave.

If alpha and beta are the roots of the equation x^(2)+sqrt(alpha)x+beta=0 then the values of alpha and beta are.-