Home
Class 11
PHYSICS
Two sinusoidal waves travelling in oppos...

Two sinusoidal waves travelling in opposite directions interfere to produce a standing wave described by the equation
`y=(1.5m)sin (0.400x) cos(200t)`
where, x is in meters and t is in seconds. Determine the wavelength, frequency and speed of the interfering waves.

Text Solution

Verified by Experts

The correct Answer is:
A, C

`lambda = (2pi)/k = (2pi)/0.4 = 15.7 m`
`f=omega/(2pi) = 200/(2pi) = 31.8 Hz. `
`v= flambda = 500 m//s ` .
Promotional Banner

Topper's Solved these Questions

  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise Exercise 18.3|5 Videos
  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise Exercise 18.4|3 Videos
  • SUPERPOSITION OF WAVES

    DC PANDEY|Exercise Exercise 18.1|3 Videos
  • SOUND WAVES

    DC PANDEY|Exercise Exercise 19.7|4 Videos
  • THERMOMETRY THERMAL EXPANSION AND KINETIC THEORY OF GASES

    DC PANDEY|Exercise Medical entrance gallary|30 Videos

Similar Questions

Explore conceptually related problems

Two sinusoidal waves travelling in opposite directions interfere to produce a standing wave described by the equation y=(1.5)msin(0.200x)cos(100t) , where x is in metres and t is in seconds. Determine the wavelength, frequency and speed of the interfering waves.

A wave is describe by y=(2.00 cm) sin (ks-omegat) , where k=2.11 rad//m, omega =3.62 rad//s, x is in metres, and t is in seconds. Determine the amplitude, wavelength, frequency, and speed of the wave.

A wave is represented by the equation, y = 0.1 sin (60 t + 2x) , where x and y are in metres and t is in seconds. This represents a wave

The equation of progressive wave is y=a sin (200 t-x) . where x is in meter and t is in second. The velocity of wave is

A standing wave is represented by, y-Asin(100t)cos(0.01x) , where x,y and A are in millimeter and t in second. The velocity of the wave is

Two identical sinusoidal waves travel in opposite direction in a wire 15 m long and produce a standing wave in the wire . If the speed of the wave is 12 ms^(-1) and there are 6 nodes in the standing wave . Find the frequency .

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