Two cars moving in opposite directions approa | vedclass

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Question

(B) The apparent frequency $v^{\prime}$ heard by the observer is given by the Doppler effect formula for sound:$v^{\prime} = v \left( \frac{v + v_{o}}

Vedclass · Accepted Answer

$448$

Vedclass · Answer

(B) The apparent frequency $v^{\prime}$ heard by the observer is given by the Doppler effect formula for sound:$v^{\prime} = v \left( \frac{v + v_{o}}{v - v_{s}} ight)$Here,the velocity of sound $v = 340 \, m s^{-1}$.The source is the first car,so $v_{s} = 22 \, m s^{-1}$.The observer is the second car,so $v_{o} = 16.5 \, m s^{-1}$.The source frequency $v = 400 \, Hz$.Substituting the values into the formula:$v^{\prime} = 400 \left( \frac{340 + 16.5}{340 - 22} ight)$$v^{\prime} = 400 \left( \frac{356.5}{318} ight)$$v^{\prime} = 400 	imes 1.121069...$$v^{\prime} \approx 448.42 \, Hz$Rounding to the nearest integer,the frequency heard is $448 \, Hz$.

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