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1.
Two waves travelling in a medium in the x-direction are represented by y1 = Asin(αt - βx) and y2 = Acos(βx + αt - π/4), where y1 and y2 are the displacements of the particles of the medium,t is time, and α and β are constants. The two waves have different
  • A.
    speeds
  • B.
    directions of propagation
  • C.
    wavelengths
  • D.
    frequencies
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Answer : [B]
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2.
A sine wave has an amplitude A and a wavelength λ. Let V be the wave velocity, and v be maximum velocity of a particle in the medium.
  • A.
    V cannot be equal to v
  • B.
    V = v, if A = λ/2π
  • C.
    V = v, if A = 2πλ
  • D.
    V = v, if λ= A
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Answer : [B]
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3.
The equation y = acos2(2πnt - 2πx/λ) represents a wave with
  • A.
    amplitude a, frequency n and wavelength λ
  • B.
    amplitude a, frequency 2n and wavelength 2λ
  • C.
    amplitude a/2, frequency 2n and wavelength λ
  • D.
    amplitude a/2 frequency 2n and wavelength λ/2
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Answer : [D]
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4.
A wave represented by the equation y = acos (kx - ωt) is superposed with another wave to form a stationary wave such that the point x = 0 is a node. The equation for the other wave is
  • A.
    asin (kx + ωt)
  • B.
    -acos (kx - ωt)
  • C.
    -acos (kx + ωt)
  • D.
    -asin (kx - ωt)
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Answer : [C]
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5.
Two identical strings are stretched at tensions TA and TA. A tuning fork is used to set them in vibration. A vibrates in its fundamental mode and B in its second harmonic mode.
  • A.
    TA = 2TB
  • B.
    TA = 4TB
  • C.
    2TA = 2B
  • D.
    4TA = TB
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Answer : [B]
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