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Dual Nature of Radiation and Matter — Physics STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 SciencePhysicsDual Nature of Radiation and Matter3 Marks
Question
A monochromatic light source of intensity 6mW emits 8 × 1016 photons per second. This light ejects photoelectrons from a metal surface. The stopping potential for this setup is 2.0V. Calculate the work function of the metal.
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Answer

$\text{w}_0=\text{hv}-\text{ev}_0$

$=\frac{5\times10^{-3}}{8\times10^{15}}-1.6\times10^{-19}\times2$

(Given V0 = 2V, No. of photons = 8 × 1015, Power = 5mW)

$=6.25\times10^{-19}-3.2\times10^{-19}=3.05\times10^{-19}\text{J}$

$=\frac{3.05\times10^{-19}}{1.6\times10^{-19}}=1.906\text{ev.}$

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