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MHT CET · Physics · Waves and Sound

A car sounding a horn of frequency \(1000 \mathrm{~Hz}\) passes an observer. The ratio of frequencies of the both noted by the observer before and after passing of the car is 11:9. If the speed of sound is \(V\), the speed of the car is

  1. A V
  2. B \(\frac{V}{10}\)
  3. C \(\frac{V}{100}\)
  4. D \(\frac{V}{5}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{V}{10}\)

Step-by-step Solution

Detailed explanation

\(n_{\text {Before }}=\left(\frac{v}{v+v_c}\right) n\)
And \(n_{\text {After }}=\left(\frac{v}{v+v_c}\right) \cdot n\)
\(\frac{n_{\text {Before }}}{n_{\text {After }}}=\frac{11}{9}=\left(\frac{v+v_c}{v-v_c}\right)\)
\(\Rightarrow v_c \Rightarrow \frac{v}{10}\)