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What is the ratio between the energies o...

What is the ratio between the energies of two radiations, one with a wavelength of `6000 Å` and the other with `2000 Å [1 Å = 10^(-10)m]`?

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To find the ratio between the energies of two radiations with given wavelengths, we can use the formula for energy associated with electromagnetic radiation: \[ E = \frac{hc}{\lambda} \] Where: - \( E \) is the energy, - \( h \) is Planck's constant (\( 6.626 \times 10^{-34} \, \text{Js} \)), - \( c \) is the speed of light (\( 3 \times 10^8 \, \text{m/s} \)), ...
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Knowledge Check

  • The relationship between energy E, of the radiation with a wavelength 8000 Å and the energy of the radiation with a wavelength 16000 Å is

    A
    `E_(1) = 6E_(2)`
    B
    `E_(1) = 2E_(2)`
    C
    `E_(1) = 4E_(2)`
    D
    `E_(10 = 1//2E_(2)`
  • The energy of one quantum of light with a wavelength of 6500Å(1Å = 10^(-10) cm)

    A
    `9.04xx10^(-24)` J
    B
    `3.02xx10^(-20)` J
    C
    `3.06xx10^(-19)` J
    D
    `6.02xx10^(-20)` J
  • What is the ratio of the energy of an X ray photon of wavelength 1 Å to that of visible light of wavelength 5000 Å ?

    A
    `5000:1`
    B
    `1.25xx10^6`
    C
    `25xx10^6`
    D
    `1:5000`
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