MHT CET · Physics · Waves and Sound
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
- B \(0.1\) unit
- C \(0.3\) unit
- D None of these
Answer & Solution
Correct Answer
(B) \(0.1\) unit
Step-by-step Solution
Detailed explanation
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
\(
\begin{aligned}
k &=62.4 \\
\frac{2 \pi}{\lambda} &=62.4 \\
\lambda &=\frac{2 \pi}{62.4}=0.1 \text { unit }
\end{aligned}
\)
\(
y=a \sin (k x+\omega t)
\)
Given equation
\(
y=0.0015 \sin (62.4 x+316 t) \quad \text { ...(ii) }
\)
Comparing Eqs. (i) and (ii), we get
\(
\begin{aligned}
k &=62.4 \\
\frac{2 \pi}{\lambda} &=62.4 \\
\lambda &=\frac{2 \pi}{62.4}=0.1 \text { unit }
\end{aligned}
\)
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