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JEE PYQ: Waves And Sound Question 32

Question 32 - 2019 (12 Apr Shift 1)

A source of sound S is moving with a velocity of 50 m/s towards a stationary observer. The observer measures the frequency of the source as 1000 Hz. What will be the apparent frequency of the source when it is moving away from the observer after crossing him? (Take velocity of sound in air 350 m/s)

(1) 750 Hz

(2) 857 Hz

(3) 1143 Hz

(4) 807 Hz

Show Answer

Answer: (1)

Solution

When source is moving towards a stationary observer,

$f_{\text{app}} = f_{\text{source}} \cdot \frac{V - 0}{V - 50}$

$1000 = f_{\text{source}} \cdot \frac{350}{300}$

When source is moving away from observer:

$f’ = \frac{1000 \times 300}{350} \times \frac{350}{400}$

$f’ = 750$ Hz


Learning Progress: Step 32 of 47 in this series