Home
Class 12
PHYSICS
The wave function for a travelling 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?

Text Solution

Verified by Experts

`(10)/3 hatim//s`
(b) - 5.48 cm (c ) 0.667 m, 5.00 Hz (d) 11.0 m/s
Promotional Banner

Topper's Solved these Questions

  • WAVES

    MOTION|Exercise EXERCISE -3 (Level -II) (Subjective JEE Advanced)|12 Videos

  • WAVES

    MOTION|Exercise EXERCISE -4 (Level -I) (previous year JEE Main)|8 Videos

  • WAVES

    MOTION|Exercise EXERCISE -2 (Level -II) (Multiple correct JEE Advanced)|14 Videos

  • WAVE OPTICS

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

  • WORK, POWER & ENERGY

    MOTION|Exercise Exercise - 3 Section-B|22 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 equation of a wave travelling on a string is y=(0.10mm)sin[3.14m^-1)x+(314s^-1)t] . (a) In which direction does the wave travel ? (b) Find the wave speed, the wavelength and the frequency of the wave. (c) What is the maximum displacement and the maximum speed of a portion of the string ?

The equation of a transverse wave travelling along a string is y(xt)=0.3sin(200x-0.5t) what is the equation of the reflected wave when it is reflected by (i) A rigid boundary? (ii) A free end?

The equation of a transverse wave travelling along a string is given by y = 5 cos pi (100t - x)cm . Its wavelength is

A transverse wave travelling on a taut string is represented by: Y=0.01 sin 2 pi(10t-x) Y and x are in meters and t in seconds. Then,

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 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 ?

The equation of a wave travelling on a string is y = (0.10 mm) sin [(31.4 m^(-1)) x + (314 s^(-1))t] (a) In which direction does the travel? (b) Find the wave speed, the wavelength and the frequency of the wave. ( c ) What is the maximum displacement and the maximum speed of a portion of the string?