Question

Consider a wave represented by $y=aco{s}^2(\omega t-kx)$ where symbols have their usual meanings. This wave has

• A. an amplitude a, frequency , and wavelength
• B. an amplitude a, frequency , and wavelength
• C. an amplitude , frequency , and wavelength
  
• D. am amplitude , frequency , and wavelength

Answer 1

The correct option is C an amplitude , frequency , and wavelength


$y=a\left[\frac{1+cos(2\omega t-2kx)}{2}\right]y=\frac{a}{2}+\frac{a}{2}cos(2\omega t-2kx)$

hence the amplitude is a/, frequency $2\omega$, and wavelength $\frac{\lambda }{2}$