Question

What is the energy of photons that corresponds to a wave number of 2.5x10 cm
A) 2.5x10-2°erg B) 5.1x10-2 erg C) 4.97x10-2'erg D) 8.5x10 erg


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Answer 1

The energy of photons that corresponds to a wave number of $2.5\times 10 cm^{-1}$ is $4.97\times 10^{-15}erg$

Explanation:

The relation between energy and wavelength of light is given by Planck's equation, which is:

$E=\frac{hc}{\lambda}$

where,

E = energy of the light  = ?

h = Planck's constant  = $6.6\times 10^{-27}ergs$

c = speed of light  = $3.0\times 10^{10}cm/s$

${\lambda}$ =$\frac{1}{wavenumber}=\frac{1}{2.5\times 10cm^{-1}}$ = 0.04 cm

$E=\frac{6.6\times 10^{-27}\times 3.0\times 10^{10}}{0.04}=497\times 10^{-17}erg$

The energy of photons that corresponds to a wave number of $2.5\times 10 cm^{-1}$ is $4.97\times 10^{-15}erg$

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