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Question

# Two cars moving in opposite directions approach each other with a speed of 22 m/s and 16.5 m/s respectively. The driver of the first car blows a horn having a frequency 400 Hz. The frequency heard by the driver of the second car is [velocity of sound is 340 m/s] [Assume, medium is stationary ]

A
350 Hz
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B
361 Hz
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C
411 Hz
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D
448 Hz
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Solution

## The correct option is D 448 HzGiven, Velocity of source (vs)=22 m/s Velocity of observer (vo)=16.5 m/s Velocity of sound in the stationary medium (v)=340 m/s Original frequency of sound (f0)=400 Hz When source and observer are moving towards each other, then the apparent frequency heard by the observer is given by fapp=f0[v+vov−vs] Substituting the given data, fapp=400[340+16.5340−22]=448 Hz.

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