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A train is moving on a straight track wi...

A train is moving on a straight track with speed 20 `ms^(-1)`. It is blowing its whistle at the frequency of 1000 Hz. The percentage change in the frequency heard by a person standing near the track as the train passes him is (speed of sound = 320 `ms^(-1)` ) close to :

A

`12%`

B

0.18

C

0.24

D

0.06

Text Solution

Verified by Experts

The correct Answer is:
A

`f_(1) = f [ (v)/(v-v_(2)) ] = f [ (320)/(320 - 20) ] = f xx (320)/(300) `Hz
` f_(2) = f [ (v)/(v + v_(s)) ] = f xx (320)/(340)` Hz
100 `xx (f_(2)/(f_(1)) - 1) = ((f_(2) - f_(1))/(f_(1))) xx 100 `
= 100` [(300)/(340) - 1 ] ` = 12 %
So correct choice is a.
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