A wave travelling in positive X-direction with a=0.2 mt., velocity =360 mt / sec. and λ=60 mts, then correct expression for the wave is

Question

A wave travelling in positive X-direction with a=0.2 mt., velocity =360 mt / sec. and λ=60 mts, then correct expression for the wave is (A) y=0.2 sin [2 π(6 t+ beginarraycx 60 endarray)] (B) y=0.2 sin [π(6 t+(x/60))] (C) y=0.2 sin [2 π(6 t-(x/60))] (D) y=0.2 sin [π(6 t-(x/60))]

Tardigrade Admin · Accepted Answer

The equation of progressive wave travelling in positive

x

-direction is given by

y = a sin \frac{2 π}{λ} (v t - x)

Here

a = 0.2 m,

v = 360 m / sec,

λ = 60 m

∴ y = 0.2 sin \frac{2 π}{60} (360 t - x)

= 0.2 sin [2 π (6 t - \frac{x}{60})]

Q. A wave travelling in positive $X$ -direction with $a = 0.2 m t$ ., velocity $= 360 m t / sec$ . and $λ = 60 m t s$ , then correct expression for the wave is

$y = 0.2 sin [2 π (6 t + x 60)]$

$y = 0.2 sin [π (6 t + \frac{x}{60})]$

$y = 0.2 sin [2 π (6 t - \frac{x}{60})]$

$y = 0.2 sin [π (6 t - \frac{x}{60})]$

The equation of progressive wave travelling in positive $x$ -direction is given by
$y = a sin \frac{2 π}{λ} (v t - x)$
Here $a = 0.2 m,$
$v = 360 m / sec,$
$λ = 60 m$
$∴ y = 0.2 sin \frac{2 π}{60} (360 t - x)$
$= 0.2 sin [2 π (6 t - \frac{x}{60})]$

Q. A wave travelling in positive X-direction with a=0.2mt., velocity =360mt/sec. and λ=60mts, then correct expression for the wave is

y=0.2sin[2π(6t+x60​)]

y=0.2sin[π(6t+60x​)]

y=0.2sin[2π(6t−60x​)]

y=0.2sin[π(6t−60x​)]