A wave is represented by the equation y=a sin (0.01x-2t) where a and x are in cm , velocity of propagation is:

Question

A wave is represented by the equation y=a sin (0.01x-2t) where a and x are in cm , velocity of propagation is: (A)  200 cm/s  (B)  100 cm/s  (C)  50 cm/s  (D)  10 cm/s

Tardigrade Admin · Accepted Answer

Given equation is y=a sin (0.01 x-2 t) ldots(1) The standard equation is y=a sin (k x-ω t) Comparing equations (1) and (2), we get k=0.01 and ω=2 From the formula, velocity. is v=(ω/k)=(2/0.01)=200 m / s

Q. A wave is represented by the equation $y = a sin (0.01 x - 2 t)$ where $a$ and $x$ are in $c m$ , velocity of propagation is:

$200 c m / s$

$100 c m / s$

$50 c m / s$

$10 c m / s$

Given equation is
$y = a sin (0.01 x - 2 t) \dots$ (1)
The standard equation is
$y = a sin (k x - ω t)$
Comparing equations (1) and (2), we get
$k = 0.01$ and $ω = 2$
From the formula, velocity. is
$v = \frac{ω}{k} = \frac{2}{0.01} = 200 m / s$

Q. A wave is represented by the equation y=asin(0.01x−2t) where a and x are in cm , velocity of propagation is:

200cm/s

100cm/s

50cm/s

10cm/s