Which Of The Following Functions Of Y Can Never Represent A Travelling Wave?

by | Last updated on January 24, 2024

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y=f(x−vt)

Which of the following equation does not represent a travelling wave?

y=f(x−vt)

Which of the following functions for Y possible represent a travelling wave?

You have learnt that a travelling wave in one dimension is represented by a function y = f (x,t) where x and t must appear in the combination x – v t or x + v t i.e. y=f(x±vt).

Which one of the following function is a travelling wave?

Function of type (x ± vt) will represent wave only it if is finite & defined for every volume of t. hence e – {( x + vt )/ 2 } is a travelling wave from given option.

Which of the following represent travelling wave?

Althrough all the four functions are written in the form f(ax±bt), only (c) among the four functions is finite everywhere at all times, Hence only (c) represents a travelling wave.

Which of the following equation represents a wave?

The equation given is x=Asin(ky−ωt) represents a wave travelling along y− axis, where A is its amplitude.

Which one of the following is not representing the wave motion?

Which of the following does not represent an equation of wave motion? Solution: y=B & y=[x] does not represent the equation of the wave.

How do you represent a travelling wave?

Equation Representing a Travelling Wave

It is given by y ( t ) = a sin ⁡ ω t y(t)=asin omega t y(t)=asinωt , where a a a represents the maximum displacement of the particle from the mean position (amplitude), and ω omega ω represents the angular frequency for the SHM.

What is the frequency of the wave?

The frequency, represented by the Greek letter nu (ν), is the number of waves that pass a certain point in a specified amount of time . Typically, frequency is measured in units of cycles per second or waves per second. One wave per second is also called a Hertz (Hz) and in SI units is a reciprocal second (s − 1 ).

What is maximum particle velocity?

The maximum particle velocity is 3 times the wave velocity of a progressive wave . ... To find the phase difference we need to find the wavelength of the wave, which in turn depends on the velocity of the wave. Using the given relation, we can find the velocity of the wave.

What are pressure Antinodes?

At 1/4 wavelength away from this node there is a pressure antinode, where the density alternates from high to low, with corresponding alternations in pressure . At the center of this antinode there is no particle motion, but particles on either side alternately move toward and away from the center.

What is the speed of electromagnetic waves in a vacuum in air in water?

An electromagnetic wave transports its energy through a vacuum at a speed of 3.00 x 10 8 m/s (a speed value commonly represented by the symbol c).

Which of the following equation represents a wave traveling along the Y?

x = A sin (ky – ωt)

Here x is the particle displacement of the wave and the wave is travelling along the Y-axis because the particle displacement is perpendicular to the direction of wave motion.

Which property of the sound wave does not change when it travels from one medium to another?

Frequency is a characteristic of sound wave which does not change with the change of medium.

What are the stationary points in a standing wave called?

What are Nodes and Antinodes? One characteristic of every standing wave pattern is that there are points along the medium that appear to be standing still. These points, sometimes described as points of no displacement, are referred to as nodes.

What is the distance between node and adjacent Antinode?

Exactly at the centre in between two adjacent antinodes there are particles which appear to be stationary. They vibrate with minimum amplitude. Hence the distance between a node and its adjacent antinode is .

David Evans
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David Evans
David is a seasoned automotive enthusiast. He is a graduate of Mechanical Engineering and has a passion for all things related to cars and vehicles. With his extensive knowledge of cars and other vehicles, David is an authority in the industry.