Q113 / 150 · MHT CET 2017 · Physics

An electron in a hydrogen atom jumps from second Bohr orbit to ground state and the energy difference of the two states is radiated in the form of photons. These are then allowed to fall on a metal surface having a work-function equal to 4.2 eV, then the stopping potential is [Energy of electron in nth orbit =-13.6n2 eV]

  • A
    2 V
  • B
    4 V
  • Correct answer
    C
    6 V
  • D
    8 V

Solution

E=13.61-13.622
E=13.64-14=13.6×34
∴   E=10.2 eV =hν
i.e. hν=10.2eV
hν=ϕ0+eVs
∴   10.2 eV=4.2 eV+eVs
∴   6 eV=eVs
∴   Vs=6 V

Hence, the correct answer is option: 'C'.

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