The electron in the hydrogen atom jumps from excited state (n = 3) to… | NEET 2010 (AIPMT, Mains)

Q158NEET 2010 · AIPMT · MAINSMedium

Photoelectric Effect: Einstein's Equation

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 = $\frac{-13.6}{n^2}\text{ eV}$ )

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Answer: (d)

$n = 3 \to 1$ : $E = 13.6\left(1 - \frac{1}{9}\right) = 12.09$ eV.
$eV_0 = 12.09 - 5.1 \approx 7$ eV
So the answer is (d) 7 V.

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