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Answer briefly. State the expression for apparent frequency when source of sound and listener are moving towards each other moving away from each other

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प्रश्न

Answer briefly.

State the expression for apparent frequency when source of sound and listener are

  1. moving towards each other
  2. moving away from each other
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उत्तर

  1. Let, n0 = actual frequency of the source.
    n = apparent frequency of the source.
    v = velocity of sound in air.
    vs = velocity of the source.
    vL = velocity of the listener.
  2. Apparent frequency heard by the listener is given by, n =`"n"_0 (("v" +- "v"_"L")/("v" bar+ "v"_"s"))`
    Where upper signs (+ ve in numerator and -ve in denominator) indicate that the source and observer move towards each other. Lower signs (-ve in numerator and +ve in denominator) indicate that the source and listener move away from each other.
  3. If source and listener are moving towards each other, then apparent frequency is given by,
    n = `"n"_0(("v" + "v"_"L")/("v" - "v"_"s"))` i.e., apparent frequency increases.
  4. If source and listener are moving away from each other, then apparent frequency is given by, 
    n = `"n"_0(("v" - "v"_"L")/("v" + "v"_"s"))` i.e., apparent frequency decreases.
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अध्याय 8: Sound - Exercises [पृष्ठ १५८]

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बालभारती Physics [English] Standard 11 Maharashtra State Board
अध्याय 8 Sound
Exercises | Q 2. (xiv) | पृष्ठ १५८

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