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JEE PYQ: Waves And Sound Question 5

Question 5 - 2021 (24 Feb Shift 2)

Two cars are approaching each other at an equal speed of 7.2 km/hr. When they see each other, both blow horns having frequency of 676 Hz. The beat frequency heard by each driver will be __________ Hz. [Velocity of sound in air is 340 m/s.]

Show Answer

Answer: 8

Solution

Speed $= 7.2$ km/h $= 2$ m/s

Frequency as heard by A: $f_A’ = f_D\left(\frac{V + V_0}{V - V_s}\right)$

$f_A’ = 676\left(\frac{340 + 2}{340 - 2}\right)$

$f_A’ = 684$ Hz

$\therefore f_{\text{Beat}} = f_A’ - f_B$

$= 684 - 676$

$= 8$ Hz


Learning Progress: Step 5 of 47 in this series