Question

A bulb of 1 watt power on working for 1 second emitted 2.0 x10 16 photons. The wavelength of photons is:

Answer 1

Given:

The number of photons emitted = $2.0\;\times\;10^{16}$

Watt power of bulb = $1$ W

To find:

The wavelength of photons

Formula used:

$Power\;=\;\frac{Energy\;emitted}{Time}$

$\lambda\;=\;\frac nt\;\times\;\frac{hc}P$

where

λ is the wavelength

$h=6.62\times10^{-34}\;Js\\\\ c=3\times10^8\;ms^{-1}$

Step-by-step Explanation:

$\lambda\;=\;\frac nt\;\times\;\frac{hc}P$

$\lambda\;=\;2.0\;\times\;10^{16\;}\times\;6.62\;\times\;10^{-34}\;\times\;3\;\times\;10^8$

$\lambda\;=\;3.97\;\times\;10^{-9\;}\;nm$

Answer:

Therefore, the wavelength of photons is $3.97\;\times\;10^{-19}$ nm