Home
Class 12
PHYSICS
The displacement of partcles in a string...

The displacement of partcles in a string streched in the x-direction is by `y`. Among the following expressions for `y`, those describing wave motion are :

A

`cos (kx) sin(omegat)`

B

`k^(2)x^(2) - omega^(2)t^(2)`

C

`cos^(2)(kx + omegat)`

D

`cos(k^(2)x^(2) - omega^(2)t^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A, C
Promotional Banner

Topper's Solved these Questions

  • WAVE ON STRING

    RESONANCE|Exercise Exercise- 2 PART IV|9 Videos
  • WAVE ON STRING

    RESONANCE|Exercise Exercise- 3 PART II|7 Videos
  • WAVE ON STRING

    RESONANCE|Exercise Exercise- 2 PART II|19 Videos
  • TRAVELLING WAVES

    RESONANCE|Exercise Exercise- 3 PART II|7 Videos
  • WAVE OPTICS

    RESONANCE|Exercise Advanced Level Problems|8 Videos

Similar Questions

Explore conceptually related problems

A 200 Hz sinusoidal wave is travelling in the posotive x-direction along a string with a linear mass density of 3.5 xx10^(-3) kg//m and a tension of 35 N . At time t= 0 , the point x=0 , has maximum displacement in the positive y-direction. Next when this point has zero displacement, the slope of the string is pi//20 . Which of the following expression represent (s) the displacement of string as a function of x (in metre) and t (in second)

The displacement y of a wave travelling in the x-direction is given by y = 10^(-4) sin (600t - 2x + (pi)/(3)) m Where x is expressed in metre and t in seconds. The speed of the wave motion in m/s is

The displacement y of a wave travelling in the x-direction is given by y = 10^(04) sin ((600t - 2x + (pi)/(3))meters where x is expressed in meters and t in seconds. The speed of the wave-motion, in ms^(-1) , is

The displacement of the particle at x = 0 of a stretched string carrying a wave in the positive x-direction is given by f(t)sin(t/T) . The wave speed is v. Write the wave equation.

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. Maximum value of the y - positions coordinate in the simple harmonic motion of an element of the string that is located at an antinode will be

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. Amplitude of simple harmonic motion of a point on the string that is located at x = 1.8 cm will be

Consider a standing wave formed on a string . It results due to the superposition of two waves travelling in opposite directions . The waves are travelling along the length of the string in the x - direction and displacements of elements on the string are along the y - direction . Individual equations of the two waves can be expressed as Y_(1) = 6 (cm) sin [ 5 (rad//cm) x - 4 ( rad//s)t] Y_(2) = 6(cm) sin [ 5 (rad//cm)x + 4 (rad//s)t] Here x and y are in cm . Answer the following questions. If one end of the string is at x = 0 , positions of the nodes can be described as

The displacement y of a wave travelling in x direction is given by , y=10^(-1)sin(600t-2x+(pi)/(3))m where x is expressed in metres and t in seconds.The speed of the wave motion in metre per second is quad (in m/sec)]?

Motion, of a particle can be described in x-direction by x=a sin omegat and y-direction by y=b cos omegat. The particle is moving on