Question

A car horn creates a 595 hz tone

Answer 1

Answer: 668.68 Hz

Explanation:

$Let:\\ v= Velocity of sound with respect to ground\\ v_{0}= Velocity of observer\\ V_{S}= Velocity of source\\ f= Actual frequency \\ f^{\prime}= Observed frequency\\The observed frequency is given by f^{\prime}=\left(\frac{v-v_{0}}{v-v_{s}}\right) f$

$Given:\\\\begin{aligned}f &=595 \mathrm{H} 2 \\v_{s} &=20 \mathrm{~m} / \mathrm{s} \\v_{0} &=-20 \mathrm{~m} / \mathrm{s} \\v &=343 \mathrm{~m} / \mathrm{s} \\\therefore \quad f^{\prime} &=\left(\frac{v-v_{0}}{v-v_{s}}\right) f \\f^{\prime} &=\left(\frac{343-(-20)}{343-20}\right) \times 595\end{aligned} f^{\prime}=668.68 \mathrm{~Hz} is the observed frequency.$