Light of intensity \( 10^{-5} \mathrm{Wm}^{-2} \) falls on sodium photo cell of surface area \( ...

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Light of intensity \( 10^{-5} \mathrm{Wm}^{-2} \) falls on sodium photo cell of surface area \( 2 \mathrm{~cm}^{2} \) and work function \( 2 \mathrm{eV} \). Assuming that, only top 5 layers of sodium absorbs the incident energy and effective atomic area of sodium atom is \( 10^{-20} \mathrm{~m}^{2} \), the time required for photoemission in wave picture of light is nearly
(a) \( 10 \frac{1}{2} \mathrm{~s} \)
(b) \( \frac{1}{2} \mathrm{~s} \)
(c) \( \frac{1}{2} \mathrm{~h} \)
(d) \( \frac{1}{2} \mathrm{yr} \)
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