A source of sound \( S \) and a detector \( D \) are placed at some distance from one another. A...

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A source of sound \( S \) and a detector \( D \) are placed at some distance from one another. A big cardboard is placed near the detector and perpendicular to the line \( S D \) as shown in figure. It is gradually moved away and it is shown that the intensity change from a maximum to a minimum as the board is moved through a distance of \( 20 \mathrm{~cm} \). What will be the frequency of the sound emitted. Velocity of sound in air is \( 336 \mathrm{~ms}^{-1} \).
(a) \( 420 \mathrm{~Hz} \)
(b) \( 422 \mathrm{~Hz} \)
(c) \( 450 \mathrm{~Hz} \)
(d) \( 410 \mathrm{~Hz} \)
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