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A wavelength of 510 nm corresponds to an approximate frequency of 6 x 10^14 s^-1. What is the approximate...

A wavelength of 510 nm corresponds to an approximate frequency of 6 x 10^14 s^-1. What is the approximate energy of one photon of this light?
(A) 9 x 10^4 J
(B) 3 x 10^17 J
(C) 5 x 10^-7 J
(D) 4 x 10^-19 J

Answer

(D) 4 x 10^-19 J

The energy of a photon is calculated using the formula E = hν, where h is Planck's constant (6.626 x 10^-34 J·s) and ν is the frequency. Substituting the given frequency:

E = (6.626 x 10^-34 J·s) * (6 x 10^14 s^-1) = 3.9756 x 10^-19 J, which is approximately 4 x 10^-19 J.

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