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  4. Monochromatic radiation emitted when electron on hydrogen atom jumps from first excited to the ground state irradiates a photosensitive material. The stopping potential is measured to be 3.57 V. The threshold frequency of the material is

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Q. Monochromatic radiation emitted when electron on hydrogen atom jumps from first excited to the ground state irradiates a photosensitive material. The stopping potential is measured to be $3.57\, V.$ The threshold frequency of the material is

AIPMTAIPMT 2012Dual Nature of Radiation and Matter

Solution:

Energy released from emmition of electron is
$E =(-3.4)-(-13.6)=10.2\, eV$.
From photo-electric equation, work function $\phi= E - eV _{0}= h v _{0}$
On Solving this $v_{0}=1.6 \times 10^{15}\, Hz$