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JEE Advanced 2011Paper 1
Exam
JEE Advanced
Year
2011
Paper
Paper 1
Subject
Physics
Chapter
Waves and Sound

JEE Advanced 2011 · Paper 1 · Physics · Waves and Sound

A police car with a siren of frequency 8 kHz is moving with uniform...

A police car with a siren of frequency 8kHz8 \mathrm{kHz} is moving with uniform velocity 36 km/h36 \mathrm{~km} / \mathrm{h} towards a tall building which reflects the sound waves. The speed of sound in air is 320 m/s320 \mathrm{~m} / \mathrm{s}. The frequency of the siren heard by the car driver isA police car with a siren of frequency 8 kHz is moving with uniform velocity 36 ~km / h towards a tall building whichA police car with a siren of frequency 8 kHz is moving with uniform velocity 36 ~km / h towards a tall building which

Options

  1. A8.50kHz8.50 \mathrm{kHz}
  2. B8.25kHz8.25 \mathrm{kHz}
  3. C7.75kHz7.75 \mathrm{kHz}
  4. D7.50kHz7.50 \mathrm{kHz}

Correct answer

A. 8.50kHz8.50 \mathrm{kHz}

Step-by-step solution

A police car with a siren of frequency 8 kHz is moving with uniform velocity 36 ~km / h towards a tall building which
Apparent frequency of sound heard by car driver (observer) reflected from the building will be f′=f(v+v0v−vs)=8(320+10320−10)=8.5kHz\begin{aligned}f^{\prime} & =f\left(\frac{v+v_0}{v-v_s}\right)\\ & =8\left(\frac{320+10}{320-10}\right)\\ & =8.5 \mathrm{kHz} \end{aligned}\therefore$ Correct option is (a). Analysis of Question (i) Question is simple. (ii) Driver will listen two sounds, direct and reflected. Direct sound will be of 8 \mathrm{kHz} as driver has no relative motion with the car. But reflected sound is of increased frequency because driver and image of car both are approaching towards each other.
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