Which of the following expressions is that of a simple harmonic progressive wave?

Question

Which of the following expressions is that of a simple harmonic progressive wave? (A)  a sin ω t  (B)  a sin (ω t) cos kx  (C)  a sin (ω t-kx)  (D)  a cos kx

Tardigrade Admin · Accepted Answer

General equation of wave motion should be represented by

y = f (a x \pm b t) or f (a t \pm b x)

When

y

is a sine or cosine function such as

y = a sin (ω t - k x)

or

y = a cos (ω t - k x)

it is called simple harmonic progressive wave.

Q. Which of the following expressions is that of a simple harmonic progressive wave?

$a sin ω t$

$a sin (ω t) cos k x$

$a sin (ω t - k x)$

$a cos k x$

General equation of wave motion should be represented by
$y = f (a x \pm b t) or f (a t \pm b x)$
When $y$ is a sine or cosine function such as
$y = a sin (ω t - k x)$
or $y = a cos (ω t - k x)$
it is called simple harmonic progressive wave.

Q. Which of the following expressions is that of a simple harmonic progressive wave?

asinωt

asin(ωt)coskx

asin(ωt−kx)

acoskx

General equation of wave motion should be represented by y=f(ax±bt) or f(at±bx) When y is a sine or cosine function such as y=asin(ωt−kx) or y=acos(ωt−kx) it is called simple harmonic progressive wave.

$a sin ω t$

$a sin (ω t) cos k x$

$a sin (ω t - k x)$

$a cos k x$

General equation of wave motion should be represented by
$y = f (a x \pm b t) or f (a t \pm b x)$
When $y$ is a sine or cosine function such as
$y = a sin (ω t - k x)$
or $y = a cos (ω t - k x)$
it is called simple harmonic progressive wave.