Q. The wave described by $y = 0.25\sin{(10\pi x - 2\pi f)}$ where $x$ and $y$ are in meters and $t$ in seconds, is a wave travelling along the
A) Positive $x$ direction with frequency $1\ Hz$ and wavelength $\lambda = 0.2m$
B) Negative $x$ direction with amplitude with amplitude $0.25\ m$ and wavelength $\lambda = 0.2m$
C) Negative $x$ direction with frequency $1\ Hz$
D) Positive $x$ direction with frequency $\pi\ Hz.$ and wavelength $\lambda = 0.2m$
Explanation
(a) Comparing with standard equation we get
$\frac{2\pi}{\lambda} = 10\pi$
$\therefore\lambda = \frac{2}{10} = 0.2m$
$\omega = 2\pi$
$\therefore n = 1\ Hz$
And the wave is travelling along the positive direction
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.