When an electron in a 2p orbital of a particular atom makes a transition to the 2s orbital, a photon of approximate wavelength 646.3 nm is emitted. The energy difference between these 2p and 2s orbitals is:_________a. 3.07 Ã 10^â28 Jb. 3.07 Ã 10^â19 Jc. 3.07 Ã 10^â17 Jd. 1.28 Ã 10^â31 Je. none of these

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Answer:

The energy difference between these 2p and 2s orbitals is [tex]3.07\times 10^{-19} J[/tex]

Explanation:

Wavelength of the photon emitted = [tex]\lambda =646.3 nm =646.3\times 10^{-9} m[/tex]

Energy of the photon will corresponds to the energy difference between 2p and 2s orbital = E

Energy of the photon is given by Planck's equation:

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

h = Planck's constant = [tex]6.626\tiomes 10^{-34} Js[/tex]

c = Speed of the light = [tex]3\times 10^8 m/s[/tex]

[tex]E=\frac{6.626\tiomes 10^{-34} Js\times 3\times 10^8 m/s}{646.3\times 10^{-9} m}[/tex]

[tex]E=3.07\times 10^{-19} J[/tex]

The energy difference between these 2p and 2s orbitals is [tex]3.07\times 10^{-19} J[/tex]

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