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NEET 2011 (AIPMT, Mains) · Transitions, Photon Emission & Excitation

Transitions, Photon Emission & Excitation question from NEET 2011 (AIPMT, Mains)

Q72NEET 2011 · AIPMT · MAINSMedium

Transitions, Photon Emission & Excitation

An electron in the hydrogen atom jumps from excited state n to the ground state. The wavelength so emitted illuminates a photosensitive material having work function 2.75 eV. If the stopping potential of the photoelectron is 10 V, then the value of n is

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Answer: (c)

  1. Kmax=eV0=10K_{max} = eV_0 = 10 eV, so photon energy =2.75+10=12.75= 2.75 + 10 = 12.75 eV.
  2. 13.6(1−1n2)=12.75⇒1n2=11613.6\left(1 - \frac{1}{n^2}\right) = 12.75 \Rightarrow \frac{1}{n^2} = \frac{1}{16}
  3. So n=4n = 4, the answer is (c).
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