Q118 / 150 · MHT CET 2011 · Physics
The equation of sound wave is
$$
y=0.0015 \sin (62.4 x+316 t) . \text { Find the }
$$
wavelength of this wave
- A$0.2$ unit
- Correct answerB$0.1$ unit
- C$0.3$ unit
- DNone of these
Solution
General equation of plane prograssive wave is given by
$$
y=a \sin (k x+\omega t)
$$
Given equation
$$
y=0.0015 \sin (62.4 x+316 t) \quad \text { ...(ii) }
$$
Comparing Eqs. (i) and (ii), we get
$$
\begin{aligned}
k &=62.4 \\
\frac{2 \pi}{\lambda} &=62.4 \\
\lambda &=\frac{2 \pi}{62.4}=0.1 \text { unit }
\end{aligned}
$$
Hence, the correct answer is option: 'B'.