Home
Class 12
PHYSICS
A wave is described by the equation y ...

A wave is described by the equation
`y = (1.0 mm)sin pi(x/(2.0cm) - 1/(0.01s))`
Find the time period and the wavelength.

Text Solution

Verified by Experts

20 m/s, 4.0 cm
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WAVE MOTION AND SOUND

    AAKASH SERIES|Exercise PROBLEMS (LEVEL - I)|60 Videos

  • WAVE MOTION

    AAKASH SERIES|Exercise PRACTICE SHEET ADVANCED (INTEGER TYPE QUESTIONS)|10 Videos

  • WAVE OPTICS

    AAKASH SERIES|Exercise PROBLEMS (LEVEL - II)|20 Videos

Similar Questions

Explore conceptually related problems

A wave is described by the equation y = (1.0 mm)sin pi(x/(2.0cm) - 1/(0.01s)) What are the speeds of the particles at x = 1.0 cm at t = 0.012 and 0.013 s?

A wave travelling along the x-axis is described by the equation y(x,t) = 0.005cos(alphax - betat) . If the wavelength and the time period of the wave are 0.08m and 2.0s, respectively, then alpha/beta = n xx 5 , then the value of n is ……………….. (where alpha, beta are in appropriate units).

Knowledge Check

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

    A
    `alpha=25.00 pi, beta= pi`
    B
    `alpha=(0.08)/(pi),(2.0)/(pi)`
    C
    `alpha=(0.04)/(pi), beta=(1.0)/(pi)`
    D
    `alpha=12.50 pi, beta=(pi)/(2.0)`

  • When a wave travels in a medium the particles displacement is given by the equation y(x,t)=0.03sin pi (2t-0.01x) Where y and x are in metre and t in second. The wavelengths of the wave is

    A
    10m
    B
    20m
    C
    100m
    D
    200m

  • The equation of wave is y=1.0 cos 2pi(t/0.02-x/10) where t is in second. The frequency of the wave is

    A
    50 Hz
    B
    315 Hz
    C
    10 Hz
    D
    63 Hz

    • Similar Questions

    Explore conceptually related problems

    A wave travelling along the x-axis is described by the equation y(x,t) = 0.005cos (alpha x - beta t) . If the 1wavelength and the time period of the wave are 0.08m and 2.0s, respectively, then alpha/beta = n xx 5 , then the value of n is____(where alpha, beta are in appropriate units).

    A particle having mass 10 g oscillates according to the equation x = (2.0 cm) sin [(100 s^(-1))t + pi//6] . Find the amplitude , the time period and the spring constant .

    A particle executes SHM represented by the equation , y= 0.02sin(3.14t+ (pi)/(2)) meter. Find time period

    A particle having mass 10 g oscillates according to the equation x = (2.0 cm) sin [(100 s^(-1))t + pi//6] . Find the position , the velocity nad the acceleration at t=0

    A wave travelling along a string is described by, y(x,t) = 0.005 sin ( 80.0x - 3.0 x). In which the numerical constants are in SI units ( 0.005m, 80.0 rad m^(-1) , and 3.0 rad s^(-1) ) . Calculate (a) the amplitude , ( b) the wavelength , and (c ) the period and frequency of the wave. Also,calculate the displacement of the wave. Also, calaculate the displacement y of the wave at a distance x = 30.0 cm and time t =20s ?

    Home
    Profile