Knowee
Questions
Features
Study Tools

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

🧐 Not the exact question you are looking for?Go ask a question

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.

This problem has been solved

Similar Questions

What is the wavelength of light with 2.89 10-19 J of energy? (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.1310 nmB.764 nmC.1450 nmD.688 nm

How much energy does a 185 nm wave of light have? (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.8.38 1034 JB.3.68 10-32 JC.1.07 10-18 JD.9.31 1017 J

What is the wavelength of a photon with an energy of 3.38 𝑥x 10-19 J?A.416 nmB.460 nmC.510 nmD.588 nm

Find the wavelength of light, in nanometers (nm), given off from a sample of light containing 3.72 x 10-19J of energy.  Hint: convert Joules to Hertz(frequency) then frequency to wavelength.

What is the wavelength of an electromagnetic wave that has a frequency of 1.82 1018 Hz in a vacuum? (The speed of light in a vacuum is 3.00 108 m/s.)A.6.07 109 mB.5.49 10-19 mC.5.46 1026 mD.1.65 10-10 mSUBMITarrow_backPREVIOUS

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.