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The wavelength of light in the visible r...

The wavelength of light in the visible region is about 390nm for violet colour, about 550nm (average wavelength) for yellow green colour and about 760nm for red colour. What are the energies of photon in eV at the (i) violet end (ii) average wavelength yellow-green colour and (iii) red end of the visible spectrum? `("Take " h=6.63xx10^(-34)Js and 1eV=1.6xx10^(-19)Js)`

Text Solution

AI Generated Solution

To find the energies of photons at different wavelengths in the visible spectrum, we will use the formula for energy of a photon: \[ E = \frac{hc}{\lambda} \] Where: - \( E \) is the energy of the photon in joules, - \( h \) is Planck's constant (\( 6.63 \times 10^{-34} \, \text{Js} \)), - \( c \) is the speed of light (\( 3 \times 10^{8} \, \text{m/s} \)), ...
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What is the (a) momentum (b) speed and (c) de-Broglie wavelength of an electron with kinetic energy of 120 eV. Given h=6.6xx10^(-34)Js, m_(e)=9xx10^(-31)kg , 1eV=1.6xx10^(-19)J .

An electron and a photon each have a wavelength of 2.00nm. Find (i) their momenta (ii) the energy of the photon and (iii) the kinetic energy of electron. h=6.63xx10^(-34)Js

Knowledge Check

  • The wavelength of light in the visible region is about 390 nm for violet colour and about 760 nm for red colour. The energy of photon in eV at violet end is

    A
    2.32
    B
    3.19
    C
    1.42
    D
    4.13
  • in the question number 63, the frequency of emitted photon due to the given transition is (h=6.64xx10^(-34)Js,1eV=1.6xx10^(-19)J)

    A
    `2.46xx10^(10)Hz`
    B
    `2.46xx10^(12)Hz`
    C
    `2.46xx10^(15)Hz`
    D
    `2.46xx10^(18)Hz`
  • if the de broglie wavelength of an electron is 0.3 nanometre, what is its kinetic energy ? [h=6.6xx10^(-34) Js, m=9xx10^(-31)kg, 1eV = 1.6xx10^(-19) J]

    A
    1.68 eV
    B
    168 eV
    C
    16.8 eV
    D
    0.168 eV
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    Light of wavelength 5000Å falls on a metal surface of work function 1.9eV. Find (i) the energy of photons in eV (ii) the kinetic energy of photoelectrons and (iii) the stopping potential. Use h=6.63xx10^(-34)Js , c=3xx10^8ms^-1 , e=1.6xx10^-9C.

    The wavelength range of the visible spectrum extends from violet (400 nm) to red (750 nm). Express these wavelengths in frequencies (Hz) (1 nm = 10^(-9)m )

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    An electron and a photon each has a wavelength of 1.0nm. Find (a) their momenta, (b) the energy of the photon , and © the kinetic energy electron. Take h=6.63xx10^(-34) Js .

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