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State the principle of superposition of ...

State the principle of superposition of waves.

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Characteristics or properties of a stationary wave:
(1) In a region where a stationary wave is formed, the particles of the medium (except at the nodes) perform SHM of the same period, but their amplitudes vary periodically in space from particle to particle.
(2) The overall appearance of a stationary wave is of alternate Intensity maximum (displacement antinode) and minimum (displacement node)
(3) The distance between adjacent nodes (or antinodes) is `pi//2`
(4) The distance between successive node and antinode is `pi//4`
(5) There is no progressive change of phase from particle to particle. All the particles in one loop (between two adjacent nodes) vibrate in the same phase, while the particles in adjacent loops are in opposite phase.
(6) A stationary wave does Hot propagate in any direction and hence does not transport energy through the medium.
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Knowledge Check

  • The energy in the superposition of waves

    A
    is lost
    B
    increases
    C
    remains same, only redistribution occurs.
    D
    may increase or decrease depending upon the medium.

  • Assertion : The principle of superposition is not valid for gravitational force. Reason : Gravitational force is a conservative force.

    A
    If both assertion and reason are true and the reason is the correct explanation of the assertion.
    B
    If both assertion and reason are true but reason is not the correct explanation of the assertion.
    C
    If assertion is true but reason is false.
    D
    If assertion is false but reason is true.

  • The correct figure that shows , schematically , the wave pattern produced by superposition of two waves of frequencies 9 Hz and 11 Hz, is :

    A
    B
    C
    D

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