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.]

Respuesta :

detailed solution is attached
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Answer:

Energy of photon, [tex]E=8.64\times 10^{-19}\ J[/tex]

Explanation:

It is given that,

Wavelength of photon, [tex]\lambda=2.29\times 10^{-7}\ m[/tex]

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 :

[tex]E=\dfrac{hc}{\lambda}[/tex]

Where

h is the Planck's  constant

c is the speed of light

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

[tex]E=8.64\times 10^{-19}\ J[/tex]

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

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