Question

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

• A. $\frac{1}{330}s$
• B. $2 \pi \times 330 \, s$
• C. $(2 \pi \times 330)^{-1} s$
• D. $\frac{6.284}{330} s$

Answer 1

Answer: (A)

$\frac{1}{330}s$

Answer 2

We have the progressive wave given by \hspace30mm y = 2 \cos \, 6.284 (330 t - x) \hspace30mm = 2 \cos \, 2 \pi (330 t - x) \hspace30mm = 2 \cos (2 \pi \times 330 t - 2 \pi x) \hspace30mm \omega = 2 \pi \times 330, and time period T = $\frac{2 \pi}{\omega} = \frac{1}{330} s.$