Question

Mercury's atomic emission spectrum is shown below.

Estimate the wavelength of the dark green line.


What is its frequency?_____ Hz

What is the energy of an dark green photon emitted by the mercury atom?

Answer 1

the frequency of the wavelength is 551 because the green line is on it

Answer 2

Explanation:

From the atomic emission spectrum of Mercury, the wavelength of the dark green line is 545 nm.

The relation between the frequency and wavelength is given by :

$c=f\times \lambda$

$f=\dfrac{c}{\lambda}$

$f=\dfrac{3\times 10^8\ m/s}{545\times 10^{-9}\ m}$

$f=5.504\times 10^{14}\ Hz$

Let E is the energy of an dark green photon emitted by the mercury atom. It is given by :

$E=hf$

h is Planck's constant

$E=6.63\times 10^{-34}\ J-s\times 5.504\times 10^{14}\ Hz$

$E=3.64\times 10^{-19}\ J$

Hence, this is the required solution.