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What transition energy corresponds to an absorption line at 460 nm?A.4.45 𝑥x 10-19 JB.4.32 𝑥x 10-19 JC.6.52 𝑥x 10-19 JD.2.31 𝑥x 10-19 J

Question

What transition energy corresponds to an absorption line at 460 nm?

A. 4.45 𝑥 10^{-19} J
B. 4.32 𝑥 10^{-19} J
C. 6.52 𝑥 10^{-19} J
D. 2.31 𝑥 10^{-19} J

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Solution

To find the transition energy that corresponds to an absorption line at 460 nm, we can use the formula for the energy of a photon:

E = hc/λ

where: E is the energy of the photon, h is Planck's constant (6.626 x 10^-34 J*s), c is the speed of light (3.00 x 10^8 m/s), and λ is the wavelength of the light.

First, we need to convert the wavelength from nanometers to meters:

460 nm = 460 x 10^-9 m

Then, we can substitute the values into the formula:

E = (6.626 x 10^-34 J*s) * (3.00 x 10^8 m/s) / (460 x 10^-9 m) E = 4.32 x 10^-19 J

So, the transition energy that corresponds to an absorption line at 460 nm is 4.32 x 10^-19 J. Therefore, the correct answer is B. 4.32 x 10^-19 J.

This problem has been solved

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