Question

Equation of a transverse wave is given by
$y=20sin(t+0.2x)$.
The wavelength of wave is

• A. $0.6\pi$
• B. $0.3\pi$
• C. $15\pi$
• D. $10\pi$

Answer 1

Answer: (D)

As $y=20sin(t+0.2x)$
Compare it with standard equation of wave form
$y=Asin\left[\frac{2\pi }{T}t+\frac{2\pi }{\lambda }x\right]$
$\therefore \frac{2\pi }{\lambda }=0.2$
or $\lambda =\frac{2\pi }{0.2}=10\pi$