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  • The driver of a bus approaching a big wall notices that the frequency of his bus's horn changes from <img alt="640 \mathrm{~Hz}" src="https://entrancecorner.oncodecogs.com/gif.latex?640%20%5Cma

The driver of a bus approaching a big wall notices that the frequency of his bus's horn changes from 640 \mathrm{~Hz} to 860 \mathrm{~Hz}. When he hears it after it gets reflected from the wall.

Find the speed of the bus if the speed of the sound is 340 \mathrm{~m} / \mathrm{s}

Option: 1

48.87\frac{m}{s}


Option: 2

49.87\frac{m}{s}


Option: 3

48.87\frac{m}{s}


Option: 4

49.77\frac{m}{s}


Answers (1)

best_answer

$$ \begin{aligned} & f_{0}=640 \mathrm{~Hz} \\ & f_{a p}=f_{0}\left(\frac{c+v}{c-v}\right) \\ & 860=640\left(\frac{340+v}{340-v}\right) \\ & \frac{43}{32}=\frac{340+v}{340-v} \\ & \frac{43+32}{43-32}=\frac{340+v+340-v}{340+v-340+v} \\ & \frac{75}{11}=\frac{680}{2 \mathrm{~V}} \\ & \frac{75}{11}=\frac{340}{v} \\ & 75 v=340 \times 11 \\ & v=\frac{340 \times 11}{75}=\frac{68 \times 11}{15}=\frac{748}{15} \end{aligned}

v= 49.87\frac{m}{s}

Posted by

Devendra Khairwa

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