Dual Nature Of Light Question 313

Question: A radio transmitter radiates 1 kW power at a wavelength 198.6 metres. How many photons does it emit per second [Kerala (Engg.) 2002]

Options:

A) $ 10^{10} $

B) $ 10^{20} $

C) $ 10^{30} $

D) $ 10^{40} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ P=\frac{W}{t}=\frac{nhc}{\lambda t}\Rightarrow 10^{3}=\frac{n\times 6.6\times {{10}^{-34}}\times 3\times 10^{8}}{198.6\times 1} $
$ \Rightarrow n=10^{30} $ .