Home
Class 12
PHYSICS
The equation of a stationary wave is y ...

The equation of a stationary wave is ` y = 0.04 sin 200 pi t cos (pi x)/(0.3)` with all quantities in SI units. What is the speed of the waves superposed ?

Text Solution

Verified by Experts

Comparing the given equation with ` y = 2 A cos (2pi x)/lamda sin 2 pi nt `
n = 1000 Hz and ` lamda` = 0.6 m
The speed of the waves superposed , ` u = n lamda = (100) (0.6) = 60` m/s
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOLVED PROBLEMS - I

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise KINETIC THEORY OF GASES AND RADIATION|26 Videos

  • SOLVED PROBLEMS - I

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise ASSIGNMENTS|24 Videos

  • SOLVED PROBLEMS - I

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise WAVE MOTION|11 Videos

  • SHORT ANSWER QUESTIONS

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignments|3 Videos

  • SOLVED PROBLEMS-II

    NAVNEET PUBLICATION - MAHARASHTRA BOARD|Exercise Assignments|5 Videos

Similar Questions

Explore conceptually related problems

The equation of a stationary wave is y =0.05 sin 200 pi t cos pi x with all quantities in SI units. What is the maximum speed of a particle at an antinode ?

The equation of a simple harmonic progressive wave is y= A sin 100 pi (t- x/100) with all quantities in SI units. What is the speed of the wave ?

Knowledge Check

  • The equation of a wave motion is given by y = 7 sin(7pi t - 0.4 pi x + (pi)/(3)) , where all quantities are measured in SI units. Then the ratio of wave velocity to the maximum particle velocity is

    A
    `5 : 44`
    B
    `44 : 5`
    C
    `22 : 7`
    D
    `22 : 5`

  • The equation of a progressive wave is, y = 0.4 sin [pi ((t)/(5) - (x)/(9)) + (pi)/(6)] , where all quantities are measured in SI units. Then which of the following is correct

    A
    time taken to propagate 1 wave across a point is 10 s
    B
    wavelength is 18 m
    C
    amplitude is 0.4 m
    D
    all the above

  • The equation of a simple harmonic progressive wave is y = "sin" (pi)/(2) [(4t)/(0.025) - (x)/(0.25)] where all the quantities are in SI units. What is the amplitude and frequency of the wave ?

    A
    2m, 2Hz
    B
    1m, 80 Hz
    C
    1m, 40 Hz
    D
    2m, 40 Hz

    • Similar Questions

    Explore conceptually related problems

    The displacement y of a particle in a medium can be expressed as y = 10^(-4) sin (10 t + 2x + pi//4) where all quantities are in SI units. Find the speed of the wave.

    The equation of a vibrating string is y=0.01cos4pixxsin200pit Where all quantities are expressed in SI units. Then the amplitude of component wave is

    The equation of a transverse wave is given by y = 20 sin pi (4t - 0.04x) where x and y are in m and t is in sec. The frequency of the wave is

    The equation of a stationary wave is y = 0.8 cos ((pi x)/(20)) sin 200 pi t where x is in cm and t is in s. The separation between consecutive nodes will be

    Equation of a stationary wave is y=10 sin ((pi x)/(4)) cos 20 pi t Distance between two consecutive nodes is

    Home
    Profile