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  • A bat flies at a speed of 4m/s, emitting a sound of <img alt="f=90 \times 10^3 \mathrm{~Hz}" src="https://entrancecorner.oncodecogs.com/gif.latex?f%3D90%20%5Ctimes%2010%5E3%20%5Cmathrm%7B%7EHz

A bat flies at a speed of 4m/s, emitting a sound of f=90 \times 10^3 \mathrm{~Hz}. It is flying horizontally towards a vertical wall. The frequency of the reflected sound as deflected by the bat will be 

Option: 1

88.1 \times 10^3 \mathrm{~Hz}


Option: 2

87.1 \times 10^3 \mathrm{~Hz}


Option: 3

92.1 \times 10^3 \mathrm{~Hz}


Option: 4

89.1 \times 10^3 \mathrm{~Hz}


Answers (1)

best_answer

Frequency of reflected sound heard by the bat,

\begin{aligned} & v^{\prime}=v\left[\frac{v-\left(v_0\right)}{v-v_s}\right]=v\left[\frac{v+v_0}{v-v_s}\right]=v\left[\frac{v+v_b}{v-v_b}\right] \\ & =V\left[\frac{330+4}{330-4}\right] \times 90 \times 10^3 \\ & =92.1 \times 10^3 \mathrm{~Hz} \\ & \end{aligned}

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