Question

A wave is represented by y = A sin² (kx – wt + f). The amplitude and wavelength of wave is given by –

• A. 2A, $\frac{2\pi}{k}$
• B. $A,\frac{2\pi}{k}$
• C. $\frac{A}{2}$, $\frac{2\pi}{k}$
• D. $\frac{A}{2},\frac{\pi}{k}$

Answer 1

Answer: (D)

$\frac{A}{2},\frac{\pi}{k}$

Answer 2

y = A sin² (kx – wt + f) can be rewritten as

y = $\frac{A}{2} - \frac{A}{2}$cos (2kx – 2wt + 2f)