Dual Nature Of Light Question 397

Question: At t=0, light of intensity $ 10^{12} $ $ 10^{12}photons/s-m^{2} $ of energy 6eV per photon start falling on a plate with work function 2.5eV. If area of the plate is $ 2\times {{10}^{-4}}m^{2} $ and for every $ 10^{5} $ photos one photoelectron is emitted, charge on the plate at $ t=25s $ is

Options:

A) $ 8\times {{10}^{-15}}C $

B) $ 4\times {{10}^{-14}}C $

C) $ 12\times {{10}^{-14}}C $

D) $ 16\times {{10}^{-14}}C $

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Answer:

Correct Answer: A

Solution:

[a] Number of emitted electrons $ =\frac{10^{12}\times 2\times {{10}^{-4}}\times 25}{10^{5}}=5\times 10^{4}\text{ electrons} $ $ \text{q=+ne=}8\times {{10}^{-15}}C $