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21.
Two sources of sound of the same frequency produce sound intensities I and 4I at a point P when used individually. If they are used together such that the sounds from them reach P with a phase difference of 2π/3, the intensity at P will be
  • A.
    2I
  • B.
    3I
  • C.
    4I
  • D.
    5I
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Answer : [B]
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22.
If two waves of the form y = asin(ωt - kx) and y = acos(kx - ωt) are superposed, the resultant wave will have amplitude
  • A.
    0
  • B.
    a
  • C.
    √2a
  • D.
    2a
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Answer : [C]
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23.
A racing car moving towards a cliff sounds its horn. The driver observes that the sound reflected from the cliff has a pitch one octave higher than the actual sound of the horn. If V = the velocity of sound, the velocity of the car is
  • A.
    V/√2
  • B.
    V/2
  • C.
    V/3
  • D.
    V/4
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Answer : [C]
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24.
The displacement of a particle in a medium due to a wave travelling in the x-direction through the medium is given by y= Asin(αt - βx), where t = time, and α and β are constants. (Choose Multiple Answers)
  • A.
    The frequency of the wave is α.
  • B.
    The frequency of the wave is α/(2π).
  • C.
    The wavelength is (2π)/β
  • D.
    The velocity of the wave is α/β.
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Answer : [B, C, D]
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25.
For a sine wave passing through a medium, let y be the displacement of a particle, v be its velocity and a be its acceleration. (Choose Multiple Answers)
  • A.
    y, v and a are always in the same phase.
  • B.
    y and a are always in opposite phase.
  • C.
    Phase difference between y and v is π/2.
  • D.
    Phase difference between y and a is π/2.
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Answer : [B, C, D]
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