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NEET 2017
Exam
NEET
Year
2017
Subject
Physics
Chapter
Waves and Sound

NEET 2017 · Physics · Waves and Sound

Two cars moving in opposite directions approach each other with...

Two cars moving in opposite directions approach each other with speed of 22ms−122m{s}^{- 1} and 16.5ms−116.5m{s}^{- 1} respectively. The driver of the first car blows a horn having a frequency 400Hz.400\text{Hz}\text{.} The frequency heard by the driver of the second car is [velocity of sound 340ms−1340m{s}^{- 1}]Two cars moving in opposite directions approach each other with speed of 22m s ^ - 1 and 16.5m s ^ - 1 respectively.

Options

  1. A350Hz350Hz
  2. B361Hz361Hz
  3. C411Hz411Hz
  4. D448Hz448Hz

Correct answer

D. 448Hz448Hz

Step-by-step solution

Two cars moving in opposite directions approach each other with speed of 22m s ^ - 1 and 16.5m s ^ - 1 respectively.

Due to Doppler’s effect, when both observer and source are moving towards each other, then, the frequency measured by the observer differs from the actual frequency generated by the source.

Thus, the apparent frequency, fA=f[v+v0v−vs]{f}_{A} = f\left[\dfrac{v + {v}_{0}}{v - {v}_{s}}\right]

=400[340+16.5340−22]= 400\left[\dfrac{340 + 16.5}{340 - 22}\right]

fA=448Hz{f}_{A} = 448Hz

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