Question 14 Marks
From diagram given below calculate
1. velocity of $P$ and $Q$
2. frequency of $P$, when frequency of $Q$ is 512 Hz .
Assume that both wave are travelling in same medium.

1. velocity of $P$ and $Q$
2. frequency of $P$, when frequency of $Q$ is 512 Hz .
Assume that both wave are travelling in same medium.

Answer
View full question & answer→For Q :
Wavelength $(\lambda)=$ Distance between two consecutive crests
$
=0.5-0.1=0.4 m
$
Frequency $(f)=512 Hz$
Velocity $(v)=\lambda f$
$
=0.4 \times 512=204.8 ms^{-1}
$
Since both waves are travelling in same medium and velocity of
P and Q is same i.e., $204.8 ms^{-1}$.
For $P$ :
Wavelength $=\lambda^{\prime}=1.0-0.2=0.8 m$
Velocity $=\nu=204.8 ms^{-1}$
Frequency of wave $P =f^{\prime}=$ ?
$
\begin{array}{l}
v=\lambda^{\prime} f^{\prime} \\
f=\frac{v}{\lambda^{\prime}}=\frac{204.8}{0.8}=256 Hz
\end{array}
$
Wavelength $(\lambda)=$ Distance between two consecutive crests
$
=0.5-0.1=0.4 m
$
Frequency $(f)=512 Hz$
Velocity $(v)=\lambda f$
$
=0.4 \times 512=204.8 ms^{-1}
$
Since both waves are travelling in same medium and velocity of
P and Q is same i.e., $204.8 ms^{-1}$.
For $P$ :
Wavelength $=\lambda^{\prime}=1.0-0.2=0.8 m$
Velocity $=\nu=204.8 ms^{-1}$
Frequency of wave $P =f^{\prime}=$ ?
$
\begin{array}{l}
v=\lambda^{\prime} f^{\prime} \\
f=\frac{v}{\lambda^{\prime}}=\frac{204.8}{0.8}=256 Hz
\end{array}
$
