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(B) The points $R, S$ and $T$ are nodes in a standing wave pattern formed by the interference of the incident and reflected sound waves.The distance b

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$100$

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(B) The points $R, S$ and $T$ are nodes in a standing wave pattern formed by the interference of the incident and reflected sound waves.The distance between two adjacent nodes (e.g.,$R$ and $S$,or $S$ and $T$) is equal to half the wavelength,$\frac{\lambda}{2}$.From the diagram,the distance between adjacent nodes is $1.5 \, m$.Therefore,$\frac{\lambda}{2} = 1.5 \, m \Rightarrow \lambda = 3 \, m$.Using the wave equation $v = f \lambda$,where $v = 300 \, m/s$ and $\lambda = 3 \, m$:$f = \frac{v}{\lambda} = \frac{300}{3} = 100 \, Hz$.

The given diagram shows a detector placed between a transmitter of sound waves and a metal plate. At three adjacent points,$R, S$ and $T$,the meter shows zero intensity. Which of the following is the frequency of the emitted wave in $Hz$? (Take the velocity of sound as $v = 300 \, m/s$)

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