Waves - Result Question 72

74. A train moving at a speed of 220ms1 towards a stationary object, emits a sound of frequency 1000Hz. Some of the sound reaching the object gets reflected back to the train as echo. The frequency of the echo as detected by the driver of the train is :

[2012M]

(speed of sound in air is 330ms1 )

(a) 3500Hz

(b) 4000Hz

(c) 5000Hz

(d) 3000Hz

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Answer:

Correct Answer: 74. (c)

Solution:

  1. (c) Frequency of the echo detected by the driver of the train is

(According to Doppler effect in sound)

f=(v+uvu)f

where f= original frequency of source of sound f= Apparent frequency of source because of the relative motion between source and observer.

f=(330+220330220)1000=5000Hz

Velocity of sound direction is always taken from source to observer. All the velocities in the direction of v are positive and in the opposite direction of v are taken negative.



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