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Solve the following problem. A police car travels towards a stationary observer at a speed of 15 m/s. The siren on the car emits a sound of frequency 250 Hz.

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प्रश्न

Solve the following problem.

A police car travels towards a stationary observer at a speed of 15 m/s. The siren on the car emits a sound of frequency 250 Hz. Calculate the recorded frequency. The speed of sound is 340 m/s.

योग
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उत्तर

Given: vs = 15 m/s, n0 = 250 Hz, v = 340 m/s

To find: Frequency (n)

Formula: n = `"n"_0("v"/("v" - "v"_"s"))`

Calculation: As the source approaches listener, apparent frequency is given by,

n = `250 (340/(340 - 15)) = 3400/13`

∴ n = 261.54 Hz

The frequency heard by the audience as the car approaches stand is 261.54 Hz.

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अध्याय 8: Sound - Exercises [पृष्ठ १५८]

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बालभारती Physics [English] Standard 11 Maharashtra State Board
अध्याय 8 Sound
Exercises | Q 3. (ix) | पृष्ठ १५८

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