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(C) The frequency of the tuning fork is $n = 170 \,Hz$. The speed of the student (source and observer) is $v_0 = 2 \,ms^{-1}$ towards the wall.The wal

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(C) The frequency of the tuning fork is $n = 170 \,Hz$. The speed of the student (source and observer) is $v_0 = 2 \,ms^{-1}$ towards the wall.The wall acts as a stationary source reflecting the sound. The frequency of the echo heard by the student is given by the Doppler effect formula for a moving observer approaching a stationary source:$n' = n \left( \frac{v + v_0}{v} \right)$where $v = 340 \,ms^{-1}$ is the speed of sound.$n' = 170 \left( \frac{340 + 2}{340} \right) = 170 \left( \frac{342}{340} \right) = \frac{342}{2} = 171 \,Hz$.The beat frequency is the difference between the frequency of the echo and the original frequency of the tuning fork:$f_{beat} = |n' - n| = |171 \,Hz - 170 \,Hz| = 1 \,Hz$.

$A$ student holds a tuning fork oscillating at $170 \,Hz$. He walks towards a wall at a constant speed of $2 \,ms^{-1}$. The beat frequency observed by the student between the tuning fork and its echo is (Velocity of sound $=340 \,ms^{-1}$ ) (in $\,Hz$)

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