Home
Class 11
PHYSICS
When a train of plane wave traverses a m...

When a train of plane wave traverses a medium, individual particles execute periodic motion given by the equation
`y 4sin(pi)/(2)(2t x/8)`
Where the length are expressed in centimetres and time in seconds. Calculate the amplitute, wavelength, (a) the phase different for two positions of the same particle which are occupied at time interval 0.4 s apart and (b) the phase difference at any given instant of two particle 12 cm apart.

Text Solution

AI Generated Solution

To solve the given problem step by step, we will analyze the wave equation and calculate the required parameters. ### Given Wave Equation: The wave equation is given as: \[ y = 4 \sin\left(\frac{\pi}{2}(2t + \frac{x}{8})\right) \] ### Step 1: Identify the Amplitude The amplitude \( A \) is the coefficient of the sine function in the wave equation. ...
Promotional Banner

Topper's Solved these Questions

  • TRAVELLING WAVES

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 5.1|9 Videos

  • TRAVELLING WAVES

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 5.2|23 Videos

  • TRAVELLING WAVES

    CENGAGE PHYSICS ENGLISH|Exercise Integer|9 Videos

  • TRANSMISSION OF HEAT

    CENGAGE PHYSICS ENGLISH|Exercise Single correct|9 Videos

  • VECTORS

    CENGAGE PHYSICS ENGLISH|Exercise Exercise Multiple Correct|5 Videos

Similar Questions

Explore conceptually related problems

The equation of a wave is y = 4 sin {pi/2(2t + x/8)} where y , x are in cm and time in seconds. The phase difference between two position of the same particle which are occupied at time interval of 0.4 s is x pi xx10^(-1) , what is the value of x ?

Position-time relationship of a particle executing simple harmonic motion is given by equation x=2sin(50pit+(2pi)/(3)) where x is in meters and time t is in seconds. What is the position of particle at t=1s ?

The equation of progressive wave is given by y=10sin[300pi(t-(x)/(480))] where x and y are in metre and t is in second. Calculate the amplitude frequency time period and wavelength of the wave.

(b) The displacement of a particle executing simple harmonic motion is given by the equation y=0.3sin20pi(t+0.05) , where time t is in seconds and displacement y is in meter. Calculate the values of amplitude, time period, initial phase and initial displacement of the particle.

Position-time relationship of a particle executing simple harmonic motion is given by equation x=2sin(50pit+(2pi)/(3)) where x is in meters and time t is in seconds. What is the position of particle at t=0.5s ?

Position-time relationship of a particle executing simple harmonic motion is given by equation x=2sin(50pit+(2pi)/(3)) where x is in meters and time t is in seconds. What is the position of particle at t=0 ?

A simple harmonic progressive wave is representive by the equation y=8 sin 2pi (0.1x -2t) where x and y are in centimetres and t is in seconds. At any instant the phase difference between two particle separted by 2.0 cm along the x-direction is

Equation of a transverse wave travelling in a rope is given by y=5sin(4.0t-0.02 x) where y and x are expressed in cm and time in seconds. Calculate (a) the amplitude, frequency,velocity and wavelength of the wave. (b) the maximum transverse speed and acceleration of a particle in the rope.

The displacement of a particle executing simple harmonic motion is given by x=3sin(2pit+(pi)/(4)) where x is in metres and t is in seconds. The amplitude and maximum speed of the particle is

In a standing wave particles at the positions A and B, have a phase difference of