Home
Class 12
PHYSICS
A sinusidal wave with amplitude y(m)=0.5...

A sinusidal wave with amplitude `y_(m)=0.5mm` and wavelength `lambda=0.4m.` is travelling on a string with speed v=12 m/s. At t=0 particle at x=0.1 m is located at y=0.25 mm and going down.
(a) Find equation of wave.
(b) Plot the sinusoidal wave at t=0.

Text Solution

AI Generated Solution

To solve the problem step by step, we will tackle both parts (a) and (b) systematically. ### Part (a): Finding the Equation of the Wave 1. **Identify Given Parameters:** - Amplitude, \( y_m = 0.5 \, \text{mm} = 0.5 \times 10^{-3} \, \text{m} \) - Wavelength, \( \lambda = 0.4 \, \text{m} \) - Speed of the wave, \( v = 12 \, \text{m/s} \) ...
Promotional Banner

Topper's Solved these Questions

  • WAVES-I

    RESNICK AND HALLIDAY|Exercise Checkpoint|8 Videos

  • WAVES-I

    RESNICK AND HALLIDAY|Exercise Problems|60 Videos

  • WAVE - II

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (INTEGER TYPE)|5 Videos

  • WORK, POWER, AND ENERGY

    RESNICK AND HALLIDAY|Exercise PRACTICE QUESTIONS (Integer Type)|5 Videos

Similar Questions

Explore conceptually related problems

What is the wavelength of a wave with a speed of 12 m/s and a period of 0.25 s?

The equation of a wave of amplitude 0.02 m and period 0.04 s travelling along a stretched string with a velocity of 25m/s will be

A transverse harmonic wave of amplitude 4 mm and wavelength 1.5 m is travelling in positive x direction on a stretched string. At an instant, the particle at x = 1.0 m is at y = + 2 mm and is travelling in positive y direction. Find the co- ordinate of the nearest particle (x gt 1.0 m) which is at its positive extreme at this instant.

A sinusoidal transverse wave of amplitude 10^(-2) m, wavelength lambda , frequency f is travelling with speed (V = 20 m/s) on a stretched string. If the maximum speed at any point of the string is (V)/(5) then find the frequency and wavelength of the wave.

A wave pulse is travelling on a string at 2 m/s. displacement y of the particle at x = 0 at any time t is given by y=2/(t^2+1) Find (ii) Shape of the pulse at t = 0 and t = 1s.

A sinusoidal wave having wavelength of 6 m propagates along positive x direction on a string. The displacement (y) of a particle at x = 2 m varies with time (t) as shown in the graph (a) Write the equation of the wave (b) Draw y versus x graph for the wave at t = 0

A transverse wave of amplitude 0.5 m and wavelength 1 m and frequency 2 Hz is propagating in a string in the negative x - direction. The expression for this wave 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.

A wave pulse is travelling on a string at 2m//s along positive x-directrion. Displacement y of the particle at x = 0 at any time t is given by y = (2)/(t^(2) + 1) Find Shape of the pulse at t = 0 and t = 1s.