The equation of a progressive wave can be given by y=15 sin (660 π t -0.02 π x ) cm . the frequency of the wave is

Question

The equation of a progressive wave can be given by y=15 sin (660 π t -0.02 π x ) cm . the frequency of the wave is (A) 330Hz (B) 342Hz (C) 365Hz (D) 660Hz

Tardigrade Admin · Accepted Answer

Given that y=15sin (660 Ït-0.02Ïx) Comparing with general equation of progressive wave, we get y=(x , t)=asin ((2 π /T) t - (2 π /λ ) x) ∴ (2 π /T)=660π or (1/T)=330 or v=330 Hz

Q. The equation of a progressive wave can be given by $y = 15 s in$ (660 $π t$ -0.02 $π x$ ) $c m$ . the frequency of the wave is

$330 Hz$

$342 Hz$

$365 Hz$

$660 Hz$

Given that y=15sin (660 πt-0.02πx)
Comparing with general equation of progressive wave, we get
$y = (x, t) = a s in (\frac{2 π}{T} t - \frac{2 π}{λ} x)$
$∴ \frac{2 π}{T} = 660 π$
$or \frac{1}{T} = 330 or v = 330 Hz$

Q. The equation of a progressive wave can be given by y=15sin (660 πt -0.02 πx ) cm . the frequency of the wave is

330Hz

342Hz

365Hz

660Hz