Home
Class 12
PHYSICS
The wave function for a travelling wave ...

The wave function for a travelling wave on a string is given as
`y(x, y) = (0.350m) sin (10pit -3pix+ (pi)/(4))`
(a) What are the speed and direction of travel of the wave?
(b) What is the vertical displacement of the string at t = 0, x = 0.1 m ?
(c) What are wavelength and frequency of the wave ?

Text Solution

Verified by Experts

(a) 3.33 `hati m//s`
(b) ` - 5.48 cm`
(c ) `0.67` , , 5Hz
Promotional Banner

Topper's Solved these Questions

  • WAVE MOTION

    MOTION|Exercise EXERCISE -1|13 Videos
  • WAVE MOTION

    MOTION|Exercise EXERCISE -1 (Section - B :- Velocity of a transverse wave on a string )|12 Videos
  • WAVE MOTION

    MOTION|Exercise Exercise - 3 Section - B (Previous Years Problems)|7 Videos
  • VECTOR & CALCULUS

    MOTION|Exercise EXERCISE -4 (LEVEL - II) PREVIOUS YEAR|15 Videos
  • WAVE OPTICS

    MOTION|Exercise EXERCISE - 4 (Level - II) Previous Year | JEE Main|16 Videos

Similar Questions

Explore conceptually related problems

The wave funcation for a travelling wave on a string in given as y (x, t) = (0.350 m) sin (10 pi t - 3pix + (pi)/(4)) (a) What are the speed and direction of travel of the wave ? (b) What is the vertical displacement of the string at t = 0, x = 0.1 m ? (c) What are wavelength and frequency of the wave ?

The wave function for a travelling wave on a taut string is y(x,t)=(0.350 m)sin(10pit-3pix+pi//4) . (SI units) (a) what is the speed and direction of travel of the wave ? (b) what if the verticaly position of an element of the string at t=0, x=0.100 m? (c ) what is the wavelength and frequency of the wave? (d) waht is the maximum transverse speed of an element of the string?

The equation of a wave travelling on a string is given by Y(mn) = 8 sin[ (5m^(-1)x-(4s^(-1)t ]. Then

The equation of a wave travelling in a string can be written as y=3 cos pi (100 t-x) . Ita wavelength is

The displacement of a standing wave on a string is given by y (x,t) = 0.4 sin (0.5x) cos (30t) where x and y are in centimetres. (a) Find the frequency, amplitude and wave speed of the component waves. (b) What is the particle velocity at x=2.4 cm at t=0.8 s ?

The displacement y of a wave travelling in the x-direction is given by y = 10^(-4) sin (600t - 2x + (pi)/(3)) m Where x is expressed in metre and t in seconds. The speed of the wave motion in m/s is

A wave travelling along a string is given by y(x, t) = 20 sin 2pi (t - 0.003 x) x, y are in cm and t is in seconds. Find the amplitude, frequency, wavelength and velocity of the wave.

The equation of a progressive wave travelling on a strected string is y = 10 sin 2pi ((t)/(0.02) - (x)/(100)) where x and y are in cm and t is in sec. What is the speed of the wave?

The equation of standing wave is y=0.1cos(pix)sin(200pit) . What is the frequency of the wave?

The equation of a wave travelling in a string can be written as y=3cos pi ( 100 t- x) . Its wavelength is