Home
Class 11
PHYSICS
A simple harmonic wave train is oscillat...

A simple harmonic wave train is oscillating with 100 vibration/s and has an amplitude of 1 cm. It is progressig along positive X-axis with a velocity of 10 m/s. At x = 150 cm from the orgin and t = 5 s, determine
(i) the displacement
(ii) the particle velocity
(iii) particle acceleration

Text Solution

AI Generated Solution

To solve the problem, we will follow these steps: ### Given Data: - Frequency (f) = 100 vibrations/s = 100 Hz - Amplitude (A) = 1 cm = 0.01 m - Wave velocity (v) = 10 m/s - Position (x) = 150 cm = 1.5 m - Time (t) = 5 s ...
Promotional Banner

Topper's Solved these Questions

  • WAVES

    MODERN PUBLICATION|Exercise PROBLEM|9 Videos

  • WAVES

    MODERN PUBLICATION|Exercise PRACTICE PROBLEMS|38 Videos

  • UNITS AND MEASUREMENT

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST|15 Videos

  • WORK, ENERGY AND POWER

    MODERN PUBLICATION|Exercise Chapter Practice Test|16 Videos

Similar Questions

Explore conceptually related problems

A simple harmonic wave train of amplitude 1 cm and frequency 100 vibration is travelling along positive x-direction with a velocity ov 15ms^(-1) . Calculate displacement y , the particle velocity and particle acceleration at x=180cm from the origin at t=5 s.

A particle is moving along the x-axis. Consider it’s a-t graph. If initial velocity is 10 m//s, sketch the v-t graph and calculate the displacement in the time interval t=0 to 12 s.

A simple harmonic wave-train is travelling in a gas in the positive direction of the X-axis.Its amplitude is 2 cm, velocity 45 ms^(-1) and frequency 75 s^(-1) .Write down the equation of the wave Find the displacement of the particle of the medium at a distance of 135 cm from the origin in the direction of the wave at the instant t=3 s.

A particle executes simple harmonic motion with an amplitude of 4 cm . At the mean position the velocity of the particle is 10 cm/ s . The distance of the particle from the mean position when its speed becomes 5 cm/s is

A particle executes simple harmonic motion with an amplitude of 10 cm and time period 6 s . At t = 0 it is position x = 5 cm from mean postion and going towards positive x- direaction. Write the equation for the displacement x at time L . Find the magnitude of the acceleration of the particle at t = 4 s .

A particle executes simple harmonic motion with an amplitude of 4 cm. At the mean position, the veloocity of the particles is 10 cm // s. The distance of the particles from the mean position when its speed becomes 5 cm // s is

For a particle in S.H.M. if the amplitude of displacement is a and the amplitude of velocity is v the amplitude of acceleration is

A simple harmonic progressive wave has a wavelength 40 cm, periodic time 10 s and zero initial phase. What is the phase of an oscillating particles at a distane of 10 cm form the source at an instant t = 5s ?

A simple harmonic wave of amplitude 8 units travels along positive x-axis. At any given instant of time, for a particle at a distance of 10 cm from the origin, the displacement is + 6 units , and for a particle at a distance of 25 cm from the origin, the displacement is + 4 units. Calculate the wavelength.