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Question

Energy of a photon corresponding to a wavelength of 600 nm is 2.08 eV. The energy of a photon of wavelength 400 nm will be:

The correct answer is

4.68 eV

Energy of a photon is given by E = hc/λ. Since energy is inversely proportional to wavelength, we use the given relation:
E2 / E1 = λ1 / λ2
E2 = (2.08 eV × 600 nm) / 400 nm = 4.68 eV.

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Important Questions from Dual Nature of Radiation and Matter

  1. A point source causing photoelectric emission from a metallic plate is moved away from the plate. The variation of photoelectric current with distance from the source is correctly represented by the graph:

  2. The wavelength of light from the spectral emission line of sodium is 662 nm. The kinetic energy at which an electron would have the same de Broglie wavelength would be: (h=6.62×10−34J⋅s,me​=9×10−31kg)

  3. A particle moves three times as fast as an electron. The ratio of the de Broglie wavelength of the particle to that of the electron is 1.813 × 10-4. The mass of the particle is:

  4. According to Einstein’s photoelectric equation, the plot of the Kinetic Energy of the emitted photoelectrons from a metal versus the frequency of the incident radiation gives a straight line whose slope:

  5. Energy of a photon corresponding to a wavelength of 600 nm is 2.08 eV. The energy of a photon of wavelength 400 nm will be:

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