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Dual Nature of Radiation and Matter question

2010 · Q78
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Dual Nature of Radiation and Matter question

2010 · Q78

NEETPhysicsDual Nature of Radiation and MatterMCQ+4 / −1
The electron in the hydrogen atom jumps from excited state (n = 3) to its ground state (n = 1) and the photons thus emitted irradiate a photosensitive material. If the work function of the material is 5.1 eV, the stopping potential is estimated to be (the energy of the electron in nth state En = −13.6n2eV{{ - 13.6} \over {{n^2}}}eVn2−13.6​eV)
  1. A
    5.1 V
  2. B
    12.1 V
  3. C
    17.2 V
  4. D
    7 V
View written solutionFree

Correct answer: D

E = hν\nu ν = E3 - E1

= −13.632−(−13.612) - {{13.6} \over {{3^2}}} - \left( { - {{13.6} \over {{1^2}}}} \right)−3213.6​−(−1213.6​)

= 12.1 eV

Therefore, stopping potential

eV0 = hνh\nu hν - ϕ\phi ϕ

= (12.1 – 5.1) eV

V0 = 7 V

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