Home
Class 11
PHYSICS
The equation of a progressive wave i...

The equation of a progressive wave in a medium is ` y= a sin ( 100 pi t +(pi)/( 10) x)`, where x is in metre and t is in second . The velocity of wave in the medium is

A

`1 Km //s`

B

`5 km//s`

C

`100 m//s`

D

`50 m//s`

Text Solution

Verified by Experts

` y= a sin [ 100 pi + (pi) /( 10) x] = a sin (pi) /(10) ( 100 t+ x) `
`= a sin ( 2pi ) /( 20) ( 1000 t + x) `
comparing with the equation of a progressive wave `y= a sin ( 2pi ) /( lamda ) ( v t +- x ) `, the velocity of the wave `V= 1000 m//s = 1 km //s`
Promotional Banner

Topper's Solved these Questions

  • WBCHSE QUESTION PAPER -2019

    CHHAYA PUBLICATION|Exercise SECTION - II ( GROUP -A)|6 Videos

  • WBCHSE QUESTION PAPER -2019

    CHHAYA PUBLICATION|Exercise SECTION - II ( GROUP -B)|8 Videos

  • VISCOSITY AND SURFACE TENSION

    CHHAYA PUBLICATION|Exercise EXERCISE (CBSE SCANNER)|9 Videos

  • WORK AND ENERGY

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|27 Videos

Similar Questions

Explore conceptually related problems

The equation of a progressive wave can be given by Y = 15 sin (660 pi t -0.02pi x) cm . The frequency of the wave is

Equation of a wave is given by y = 10^(4) sin(60t + 2x) , x & y in metre and t is in second. Then

The equation of a progressive wave is y = 15 sin pi (70t - 0.08x) . where y and x are in c.m. at t is in sec. Find the amplitude.frequency, wavelength and speed of the wave.

The equation of progressive wave is y = A sin (kx - omega t) . What is the maximum velocity?

The equation of a progressive wave is y=4sin(4pi t-0.04x +pi//3) where x is in meter and The velocity of the wave is

The resultant displacement due to superposition of two identical progressive waves is y = 5 cos ( 0 . 2 pi x) sin (64 pi t ) , where x , y are in cm and t is in sec . Find the equations of the two superposing waves .