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  • A detector is released from rest over a source of sound of frequency fo= 103 Hz. The frequency observed by the detector at time t is plotted in the graph. The speed of th

A detector is released from rest over a source of sound of frequency fo= 103 Hz. The frequency observed by the detector at time t is plotted in the graph. The speed of the sound in air is (g= 10 m/s2)-

Option: 1

330 m/s


Option: 2

350 m/s


Option: 3

300 m/s


Option: 4

310 m/s


Answers (1)

best_answer

\begin{aligned} f=f_0\left(\frac{V+V_0}{V}\right) & =10^3\left(1+\frac{V_0}{V}\right) \\ & =10^3+\frac{10^3}{v}(g t) \\ & =10^3+\left(\frac{10^4}{V}\right) \cdot t \end{aligned}

Slope of f=t line should be equal to \frac{10^4}{V}

\begin{aligned} \therefore \quad \frac{1000}{30} & =\frac{10^4}{V} \\ 100 V & =3 \times 10^4 \\ V & =300 \mathrm{~m} / \mathrm{s} . \end{aligned}

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Ritika Kankaria

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