A photon with a wavelength of 2.29 × 10^–7 meter strikes a mercury atom in the ground state.


Calculate the energy, in joules, of this photon. [Show all work, including the equation and

substitution with units.]

Verified Answer :

detailed solution is attached

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Answer:

Energy of photon, \(E=8.64\times 10^{-19}\ J\)

Explanation:

It is given that,

Wavelength of photon, \(\lambda=2.29\times 10^{-7}\ m\)

It strikes a mercury atom in the ground state. We have to find the energy of this photon. It can be calculated using below relation as :

\(E=\dfrac{hc}{\lambda}\)

Where

h is the Planck's  constant

c is the speed of light

So, \(E=\dfrac{6.6\times 10^{-34}\ J-s\times 3\times 10^8\ m/s}{2.29\times 10^{-7}\ m}\)

\(E=8.64\times 10^{-19}\ J\)

Hence, the above value is the energy of this photon.