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Plot a graph showing variation of de-bro...

Plot a graph showing variation of de-broglie wavelength `lambda` versus `1//sqrtV`, where V is accelerating potential for two particle A and P carrying same charge but of masses `m_1 and m_2(m_1gtm_2)`. Which one of the two represents a particle of smaller mass and why?

Text Solution

Verified by Experts

The quality factor (Q) of series LCR circuit is defined as the ratio of the resonant to frequency band width of the resonant curve.
`Q = omega_r/(omega_2-omega_1)=(omega_rL)/R`
Clearly, smaller the value of R, larger is the quality factor and sharper the resonance. Thus quality factor determines the nature of sharpness of resonance. In has no units.
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Two lines, A and B, in the plot given below show the variation of de-Broglie wavelength, lambda versus 1//sqrt(V) , where V is the accelerating potential difference, for two particles carrying the same charge. Which one of two represents a particle of smaller mass?

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Knowledge Check

  • Two particles A_1 and B_2 of masses m_1 and m_2 (m_1 gt m_2) have the same de Broglie wavelength . Then

    A
    their momenta are the same.
    B
    their energies are the same
    C
    the energy of `A_1` is less than the energy of `A_2`
    D
    the energy of `A_1` is more than the energy of `A_2`

  • Which of the following graphs shows the variation of de-Broglie wavelength with potential through which a particle of charge q and mass m is accelerated ?

    A
    B
    C
    D

  • de Broglie wavelengths of two particles A and B are plotted against (1/sqrtV) , where V is the potential on the particles. Which of the following relation is correct about the mass of the particles ?

    A
    `m_A = m_B`
    B
    `m_A gt m_B`
    C
    `m_A lt m_B`
    D
    `m_A le m_B`

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