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JIPMER 2012
Exam
JIPMER
Year
2012
Subject
Physics
Chapter
Waves and Sound

JIPMER 2012 · Physics · Waves and Sound

An engine moving towards a wall with a velocity 50 ~m / s emits a...

An engine moving towards a wall with a velocity 50 m/s50 \mathrm{~m} / \mathrm{s} emits a note of 1.2 kHz . Speed of sound in air is 350 m/s350 \mathrm{~m} / \mathrm{s}. The frequency of the note after reflection from the wall as heard by the driver of the engine is

Options

  1. A2.4 kHz
  2. B0.24 kHz
  3. C1.6 kHz
  4. D1.2 kHz

Correct answer

C. 1.6 kHz

Step-by-step solution

The reflected sound appears to propagate in a direction opposite to that of moving engine. Thus, the source and the observer can be presumed to approach each other with same velocity. v^{\prime}=\frac{v\left(v+v_o\right)}{\left(v-v_s\right)} =v(v+vsv−vs)(∵vo=vs)=v\left(\frac{v+v_s}{v-v_s}\right) \quad\left(\because v_o=v_s\right)\Rightarrow \quad v^{\prime}=1.2\left(\frac{350+50}{350-50}\right)=1.2×400300=\frac{1.2 \times 400}{300} =1.6kHz=1.6 \mathrm{kHz}
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