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A stationary source is emitting sound at a fixed frequency f0, which is reflected by two cars approaching the
source. The difference between the frequencies of sound reflected from the cars is 1.2% of f0. What is the
difference in the speeds of the cars (in km per hour) to the nearest integer ? The cars are moving at constant
speeds much smaller than the speed of sound which is 330 ms-1.
    Correct answer is '7'. Can you explain this answer?
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    Understanding the problem:
    The source emits sound at a fixed frequency f0. The sound is reflected by two cars moving towards the source. The difference between the frequencies of sound reflected from the cars is 1.2% of f0. The speed of sound is 330 m/s.

    Calculating the speed difference:
    1. The frequency shift heard by an observer due to a moving source is given by the formula:
    Δf/f0 = Vr/Vs
    where Δf is the frequency shift, f0 is the original frequency, Vr is the speed of the receiver (car), and Vs is the speed of the source (speed of sound).
    2. Given that the frequency difference is 1.2% of f0, we have:
    0.012f0 = Vr * f0 / Vs
    0.012 = Vr / 330
    3. Solving for Vr, we get:
    Vr = 0.012 * 330 = 3.96 m/s

    Converting speed to km/h:
    1. To find the speed of the cars in km/h, we multiply the speed in m/s by 3.6:
    Vr = 3.96 * 3.6 = 14.256 km/h
    2. Since we need to find the difference in speeds of the two cars, we divide this by 2:
    Difference = 14.256 / 2 ≈ 7 km/h
    Therefore, the difference in speeds of the two cars is approximately 7 km/h.
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    A stationary source is emitting sound at a fixed frequency f0, which is reflected by two cars approaching thesource. The difference between the frequencies of sound reflected from the cars is 1.2% of f0. What is thedifference in the speeds of the cars (in km per hour) to the nearest integer ? The cars are moving at constantspeeds much smaller than the speed of sound which is 330 ms-1.Correct answer is '7'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A stationary source is emitting sound at a fixed frequency f0, which is reflected by two cars approaching thesource. The difference between the frequencies of sound reflected from the cars is 1.2% of f0. What is thedifference in the speeds of the cars (in km per hour) to the nearest integer ? The cars are moving at constantspeeds much smaller than the speed of sound which is 330 ms-1.Correct answer is '7'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A stationary source is emitting sound at a fixed frequency f0, which is reflected by two cars approaching thesource. The difference between the frequencies of sound reflected from the cars is 1.2% of f0. What is thedifference in the speeds of the cars (in km per hour) to the nearest integer ? The cars are moving at constantspeeds much smaller than the speed of sound which is 330 ms-1.Correct answer is '7'. Can you explain this answer?.
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