A plane progressive wave is given by y = 2 cos 6.284 (330 t - x). What is period of the wave ?

Question

A plane progressive wave is given by y = 2 cos 6.284 (330 t - x). What is period of the wave ? (A) (1/330)S (B) 2π × 330 S (C) (2π × 330)-1S (D) (6.284/330)S

Tardigrade Admin · Accepted Answer

We have the progressive wave given by y=2 cos 6.284(330 t-x)=2 cos 2 π(330 t-x) =2 cos (2 π × 330 t-2 π x), ω=2 π × 330 and time period T=(2 π/ω)=(1/330) s.

Q. A plane progressive wave is given by $y = 2 cos 6.284 (330 t - x)$ . What is period of the wave ?

$\frac{1}{330} S$

$2 π \times 330 S$

$(2 π \times 330)^{- 1} S$

$\frac{6.284}{330} S$

We have the progressive wave given by
$y = 2 cos 6.284 (330 t - x) = 2 cos 2 π (330 t - x)$
$= 2 cos (2 π \times 330 t - 2 π x),$
$ω = 2 π \times 330$
and time period $T = \frac{2 π}{ω} = \frac{1}{330} s$ .

Q. A plane progressive wave is given by y=2cos6.284(330t−x). What is period of the wave ?

3301​S

2π×330S

(2π×330)−1S

3306.284​S