Home
Class 11
PHYSICS
The equations for two sinusoidal waves p...

The equations for two sinusoidal waves propagating through a string are given by, `y_(1)=4 sin (20x-30t)`
`y_(2)=4 sin (25-x-40t)`
where y and x are in centimeters and t is second.
(i) What is the phase difference between these two waves at the points x=5.0 cm and at t=2.0 s?
(ii) When these two waves interface what is the maximum and minimum value of the intensity?

Text Solution

AI Generated Solution

To solve the given problem, we will break it down into two parts as per the question. ### Part (i): Finding the Phase Difference 1. **Identify the wave equations**: - Wave 1: \( y_1 = 4 \sin(20x - 30t) \) - Wave 2: \( y_2 = 4 \sin(25x - 40t) \) ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • WAVES

    ICSE|Exercise Additional Solved Problems|13 Videos

  • WAVES

    ICSE|Exercise Sound Waves|50 Videos

  • WAVES

    ICSE|Exercise Worked Out Examples (MODULE -3)|1 Videos

  • VECTORS SCALARS ELEMENTARY CALCULUS

    ICSE|Exercise UNSOLVED PROBLEMS |79 Videos

Similar Questions

Explore conceptually related problems

Two sinusoidal waves in a string are defined by the function y_(1)=(2.00 cm) sin (20.0x-32.0t) and y_(2)=(2.00 cm) sin (25.0x-40.0t) where y_(1), y_(2) and x are in centimetres and t is in seconds. (a). What is the phase difference between these two waves at the point x=5.00 cm at t=2.00 s ? (b) what is the positive x value closest to the original for which the two phase differ by +_ pi at t=2.00 s? (That os a location where the two waves add to zero.)

The equation of a transverse wave propagating through a stretched string is given by y=2 sin 2pi ((t)/(0.04) -x/(40)) where y and x are in centimeter and t in seconds. Find the velocity of the wave, maximum velocity of the string and the maximum acceleration.

Knowledge Check

  • if x = a sin (omegat + pi//6) and x' = a cos omega , t, then what is the phase difference between the two waves

    A
    `pi//3`
    B
    `pi//6`
    C
    `pi//2`
    D
    `pi`

  • Two waves are represented by the equations y_(1)=asin(omegat+kx+0.57)m and y_(2)=acos(omegat+kx) m, where x is in metres and t is in seconds. The phase difference between them is

    A
    1.0 radian
    B
    1.25 radian
    C
    1.57 radian
    D
    0.57 radian

    • Similar Questions

    Explore conceptually related problems

    The equation of a wave is y=4 sin[(pi)/(2)(2t+(1)/(8)x)] where y and x are in centimeres and t is in seconds.

    The equation of stationary wave along a stretched string is given by y = 5 sin(pi/3 x) cos 40pi t where x and y are in centimetre and t in second. The separation between two adjacent nodes is :

    A stationary wave is given by y = 5 sin (pi x)/(3) cos 40 pi t where x and y are in cm and t is in seconds What is the distance between two successive nodes

    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

    The two waves are represented by y_(1)= 10^(-6) sin(100t + (x)/(50)+ 0.5)m Y_(2) =10^(-2) cos(100t + (x)/(50))m where x is ihn metres and t in seconds. The phase difference between the waves is approximately:

    The equation of a simple harmonic wave is given by y = 6 sin 2pi ( 2t – 0.1x) ,where x and y are in mm and t is in second. The phase difference between two particles 2 mm apart at any instant is

    Home
    Profile