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Calculate λ (in nm) for a photon with E = 2.68x10-15 J?

Calculate λ (in nm) for a photon with E = 2.68x10-15 J?

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Answer #1

Relation between energy, speed of light and wavelength can be given as:

E = hc/wavelength

where, h = Plank`s constant = 6.626 x 10-34Js and c = speed of light = 3 x 108 m/s

Given E = 2.68 x 10-15   and wavelength = ?

from above relation, wavelength = hc/E

wavelength = 6.626 x 10-34 x 3 x 108 / 2.68 x 10-15

wavelength = 19.878 x 10-11 / 2.68

wavelength = 7.42 x 10-11m

wavelength = 7.42 x 10-11 x 109 nm                                       (1m = 109 nm)

wavelength = 7.42 x 10-2 nm

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