Home
Class 12
PHYSICS
The equation of the progressive wave is ...

The equation of the progressive wave is `y = 3 sin[pi(t/3-x/5)+pi/4]` , where x and y are in metre and time in second. Which of the following is correct.

A

velocity V=1.5m/s,

B

amplitude A=3cm

C

frequency F=0.2Hz

D

wavelength `lambda=10m`

Text Solution

Verified by Experts

The correct Answer is:
D
`y=3 sin [2pi ((t)/(6)-(x)/(10))+pi/4]`
Compare, `y=A sin [2pi ((t)/(T)-(x)/(lamda))+pi/4]` x and y are metre
`therefore lambda=10m`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MH-CET - 2017

    NIKITA PUBLICATION|Exercise KINETIC THEORY OF GASES & RADIATION|3 Videos

  • MH-CET - 2017

    NIKITA PUBLICATION|Exercise WAVE THEORY OF LIGHT|2 Videos

  • MH-CET - 2017

    NIKITA PUBLICATION|Exercise WAVE MOTION|1 Videos

  • MCQS FROM BOARD EXAM

    NIKITA PUBLICATION|Exercise COMMUNICATION SYSTEMS|7 Videos

  • MHT-CET 2016

    NIKITA PUBLICATION|Exercise COMMUNICATION SYSTEMS|1 Videos

Similar Questions

Explore conceptually related problems

The equation of a progressive wave is given by y = 0.5 sin (20 x - 400 t) where xand y are in metre and tis in second. The velocity of the wave is

The equation of progressive wave is given by y=10sin[300pi(t-(x)/(480))] where x and y are in metre and t is in second. Calculate the amplitude frequency time period and wavelength of the wave.

Knowledge Check

  • The equation of the progressive wave is Y=3sin [pi ((1)/(3)- (x)/(5) )+( pi)/(4)] where x and y are in metre and time in second.Which of the following in correct?

    A
    velocity V = 1.5 m/s
    B
    amplitude A =3cm
    C
    frequency F= 0.2 Hz
    D
    wavelength `lambda = 10m`

  • Equation of the progressive wave is given by : y=a sin pi (40 t-x) where a and x are in metre and t in second. The velocity of the wave is

    A
    ` 80 m//s`
    B
    ` 10 m//s`
    C
    ` 40 //s`
    D
    ` 20//s`

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

    A
    `100 pi ms^(-1)`
    B
    `50 pi ms^(-1)`
    C
    `25 pi ms^(-1)`
    D
    `pi ms^(-1)`

    • Similar Questions

    Explore conceptually related problems

    The equation of a progressive wave is y=7sin(4t-0.02x) , where x and y are in cm time in second. The maximum velocity of a particle is……………

    The equation of progressive wave is y = 0.2 sin 2pi [(t)/(0.01)-(x)/(0.3)] , where x and y are in metre and t is in second. The velocity of propagation of the wave is

    Equation of a progressive wave is given by, y=4sin[pi((t)/(5)-(x)/(9))+(pi)/(6)] where x and y are in metre. Then :

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

    The equation of a progressive wave is y=0.02sin2pi[(t)/(0.01)-(x)/(0.30)] here x and y are in metres and t is in seconds. The velocity of propagation of the wave is

    Home
    Profile