Dual Nature Of Light Question 73

Question: A cathode emits $ 1.8\times 10^{14} $ electrons per second, when heated. When 400V is applied to anode all the emitted electrons reach the anode. The charge on electron is $ 1.6\times {{10}^{-19}}C $ . The maximum anode current is [MP PMT 2004]

Options:

A) $ 2.7\mu A $

B) $ 29\mu A $

C) $ 72\mu A $

D) 29 mA

Show Answer

Answer:

Correct Answer: B

Solution:

$ i=\frac{Q}{t}=\frac{ne}{t}=1.8\times 10^{14}\times 1.6\times {{10}^{-19}}=28.8\times {{10}^{-6}}A $ $ =29,\mu A $