What is the energy of light with a wavelength of 589 nm? (The speed of light in a vacuum is 3.00 108 m/s, and Planck's constant is 6.626 10-34 J•s.)A.2.96 1018 JB.3.37 10-28 JC.3.37 10-19 JD.2.96 1027 JSUBMITarrow_backPREVIOUS
Question
What is the energy of light with a wavelength of 589 nm? (The speed of light in a vacuum is 3.00 108 m/s, and Planck's constant is 6.626 10-34 J•s.)A.2.96 1018 JB.3.37 10-28 JC.3.37 10-19 JD.2.96 1027 JSUBMITarrow_backPREVIOUS
Solution
The energy of a photon can be calculated using the formula:
E = h * c / 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.
However, the wavelength given is in nanometers (nm), and we need it in meters (m) for the units to match up in the equation. There are 1 billion (1 x 10^9) nanometers in a meter, so we convert the wavelength to meters:
λ = 589 nm = 589 x 10^-9 m = 5.89 x 10^-7 m
Now we can plug the values into the equation:
E = (6.626 x 10^-34 J*s) * (3.00 x 10^8 m/s) / (5.89 x 10^-7 m) E = 3.37 x 10^-19 J
So, the energy of light with a wavelength of 589 nm is 3.37 x 10^-19 J. The correct answer is C. 3.37 x 10^-19 J.
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