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JEE PYQ: Waves And Sound Question 27

Question 27 - 2019 (09 Apr Shift 2)

Two cars A and B are moving away from each other in opposite directions. Both the cars are moving with a speed of 20 ms$^{-1}$ with respect to the ground. If an observer in car A detects a frequency 2000 Hz of the sound coming from car B, what is the natural frequency of the sound source in car B?

(speed of sound in air = 340 ms$^{-1}$)

(1) 2250 Hz

(2) 2060 Hz

(3) 2300 Hz

(4) 2150 Hz

Show Answer

Answer: (1)

Solution

$f’ = f \cdot \frac{v - v_0}{v + v_s}$

$2000 = f \cdot \frac{340 - 20}{340 + 20}$

$\therefore f = 2250$ Hz


Learning Progress: Step 27 of 47 in this series