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 :

`cos kx sin omega t`

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

`cos(kx + omega t)`

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

Text Solution

Verified by Experts

The correct Answer is:

A, C

Topper's Solved these Questions

WAVES AND SOUND
ERRORLESS |Exercise Graphical Quations|17 Videos
WAVES AND SOUND
ERRORLESS |Exercise Assertion and Reason|16 Videos
WAVES AND SOUND
ERRORLESS |Exercise Musical Sound|32 Videos
VECTORS
ERRORLESS |Exercise Exercise|223 Videos
WORK , ENERGY , POWER AND COLLISION
ERRORLESS |Exercise Self Evaluation Test|19 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

ERRORLESS -WAVES AND SOUND-Critical Thinking Questions

A wire of density 9 xx 10^(3) kg//m^(3) is stretched between two clamp...
Text Solution
|
A man is watching two trains, one leaving and the other coming in with...
Text Solution
|
An open pipe is in resonance in 2nd harmonic with frequency f(1). Now ...
Text Solution
|
Two speakers connected to the same source of fixed frequency are place...
Text Solution
|
A wire of 9.8xx10^(-3) kg/m passes over a frictionless light pulley fi...
Text Solution
|
A man standing in front of a mountain beats a drum at regular interval...
Text Solution
|
Two loudspeakers L1 and L2 driven by a common oscillator and amplifier...
Text Solution
|
The amplitude of a wave disturbance propagating in the positive x-dire...
Text Solution
|
A person speaking normally produces a sound intensity of 40 dB at a di...
Text Solution
|
A string of length L and mass M hangs freely from a fixed point. Then ...
Text Solution
|
Vibrating tuning fork of frequency n is placed near the open end of a ...
Text Solution
|
A stone is hung in air from a wire which is stretched over a sonometer...
Text Solution
|
The displacement of partcles in a string streched in the x-direction i...
Text Solution
|
Three waves of equal frequency having amplitudes 10mum, 4mum, 7mum arr...
Text Solution
|
Three sound sources p,q and r have frequencies 400 Hz, 401 Hz and 402 ...
Text Solution
|
A tuning fork of frequency 340 H(Z) is sounded above an organ pipe of ...
Text Solution
|
An organ pipe is closed at one end has fundamental frequency of 1500 H...
Text Solution
|
In Melde's experiment, the string vibrates in 4 loops when a 50 gram w...
Text Solution
|
A racing car moving towards a cliff, sounds its horn. The driver obser...
Text Solution
|
An earthquake generates both transverse (S) and longitudinal (P) sound...
Text Solution
|