Question

The equation of sound wave is $y=0.0015sin(62.4x+316t)$ . The wavelength of this wave is

• A. $0.2unit$
• B. $0.1unit$
• C. $0.3unit$
• D. $0.4unit$

Answer 1

Answer: (B)

Sound wave equation is,
$y=0.0015sin(62.4x+316t)$
Standard equation of wave motion is,
$\text{y}=\text{A sin }2\pi \left[\frac{\text{x}}{\lambda }+\frac{\text{t}}{\text{T}}\right]$
Comparing the given equation with the standard equation, we get
$\frac{2\pi }{\lambda }=62.4$
or, the wavelength of the wave, $\lambda =\frac{2\pi }{62.4}=0.1unit$