A wave travelling in the +ve x-direction having displacement along y-direction as 1m, wavelength 2 π m and frequency of (1/π) Hz is represented by :

Question

A wave travelling in the +ve x-direction having displacement along y-direction as 1m, wavelength 2 π m and frequency of (1/π) Hz is represented by : (A)  y = sin (2 π x + 2 π t) (B)  y = sin (x - 2 t) (C)  y = sin (2 π x - 2 π t) (D)  y = sin (10 π x - 20 π t)

Tardigrade Admin · Accepted Answer

y=a sin (k x-ω t) = sin [(2 π/2 π) x-2 π × (1/π) t] = sin (x-2 t)

Q. A wave travelling in the $+ v e$ $x - d i rec t i o n$ having displacement along $y$ -direction as $1 m$ , wavelength $2 πm$ and frequency of $\frac{1}{π} Hz$ is represented by :

$y = sin (2 π x + 2 π t)$

$y = sin (x - 2 t)$

$y = sin (2 π x - 2 π t)$

$y = sin (10 π x - 20 π t)$

$y = a sin (k x - ω t)$
$= sin [\frac{2 π}{2 π} x - 2 π \times \frac{1}{π} t]$
$= sin (x - 2 t)$

Q. A wave travelling in the +ve x−direction having displacement along y-direction as 1m, wavelength 2πm and frequency of π1​Hz is represented by :

y=sin(2πx+2πt)

y=sin(x−2t)

y=sin(2πx−2πt)

y=sin(10πx−20πt)