A transverse simple harmonic wave is travelling on a string. The equation of the wave :

Question

A transverse simple harmonic wave is travelling on a string. The equation of the wave : (A) Is the general equation for displacement of a particle of the string at any instant t (B) Is the equation of the shape of the string at any instant t (C) Must have sinusoidal form (D) Is an equation of displacement for the particle at any one end at a particular time t

Tardigrade Admin · Accepted Answer

The equation of a simple harmonic wave is given as

y = A sin (ω t - k x)

This equation gives the displacement curve (shape of a string in which transverse wave is propagating) as well as it gives the displacement of a particle at position

x

as a function of time

t

.

Q. A transverse simple harmonic wave is travelling on a string. The equation of the wave :

Is the general equation for displacement of a particle of the string at any instant t

Is the equation of the shape of the string at any instant t

Must have sinusoidal form

Is an equation of displacement for the particle at any one end at a particular time t

The equation of a simple harmonic wave is given as y=Asin(ωt−kx) This equation gives the displacement curve (shape of a string in which transverse wave is propagating) as well as it gives the displacement of a particle at position x as a function of time t.

The equation of a simple harmonic wave is given as
$y = A sin (ω t - k x)$

This equation gives the displacement curve (shape of a string in which transverse wave is propagating) as well as it gives the displacement of a particle at position $x$ as a function of time $t$ .