Q79 / 90 · JEE Main 2015 (04 Apr) · Physics

A train is moving on a straight track with speed 20 m s-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 m s-1 ) close to:

  • A
    24%
  • B
    6%
  • Correct answer
    C
    12%
  • D
    18%

Solution

Figure

Before train passes

f′=vv-vs×f0

=320320-20×f0

=320300×f0

=16f015

After train passes

f′′=vv+vs×f0

f′′=320320+20f0

=320340f0

=1617f0

Change in frequency

=1615-1617f0

∴ Percentage change in frequency

=1615-1617f0f0×100 ≈12% nearly

Hence, the correct answer is option: 'C'.

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