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A train standing at the outer signal of a railway station blows a whistle of frequency 400 Hz still air. The train begins to move with a speed of 10 ms–1 towards the platform.

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प्रश्न

A train standing at the outer signal of a railway station blows a whistle of frequency 400 Hz still air. The train begins to move with a speed of 10 ms–1 towards the platform. What is the frequency of the sound for an observer standing on the platform? (sound velocity in air = 330 ms–1)

संख्यात्मक
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उत्तर

Frequency of train standing at the outer signal, vo = 400 Hz

Speed of train moving towards the platform, vs = 10 ms–1

The velocity of sound in air,  va = 300 ms–1

Apparent frequency of the sound for an observer standing on the platform,

⇒ v' = `v_a/((v_a - v_s)) v_o`

⇒ v' = `(330 xx 400)/((330 - 10))` Hz

⇒ v' =  `(330 xx 400)/320` Hz

⇒ v' = `825/2` Hz

⇒ v' = 412.5 Hz

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अध्याय 15: Waves - Exercises [पृष्ठ ११०]

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एनसीईआरटी एक्झांप्लर Physics Exemplar [English] Class 11
अध्याय 15 Waves
Exercises | Q 15.27 | पृष्ठ ११०

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