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JEE PYQ: Experimental Physics Question 26

Question 26 - 2019 (10 Jan 2019 Shift 2)

A metal plate of area $1 \times 10^{-4}$ m$^2$ is illuminated by a radiation of intensity 16 mW/m$^2$. The work function of the metal is 5 eV. The energy of the incident photons is 10 eV and only 10% of it produces photo electrons. The number of emitted photo electrons per second and their maximum energy, respectively, will be: [$1$ eV $= 1.6 \times 10^{-19}$ J]

(1) $10^{14}$ and 10 eV

(2) $10^{12}$ and 5 eV

(3) $10^{11}$ and 5 eV

(4) $10^{10}$ and 5 eV

Show Answer

Answer: (3)

Solution

$\frac{n}{t} = \frac{I \times A}{E} = \frac{16 \times 10^{-3} \times 10^{-4}}{10 \times 1.6 \times 10^{-19}} = 10^{12}$. Effective photoelectrons $= 10^{12} \times 0.1 = 10^{11}$. Max KE $= 10 - 5 = 5$ eV.


Learning Progress: Step 26 of 28 in this series