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To calculate the energy of light corresponding to a wavelength, we can use the formula derived from the Planck-Einstein relation:

\[
E = \frac{hc}{\lambda}
\]

Where:
- \(E\) is the energy of the photon in joules (J),
- \(h\) is Planck's constant (\(6.626 \times 10^{-34}\) J·s),
- \(c\) is the speed of light in a vacuum (\(3.00 \times 10^8\) m/s),
- \(\lambda\) is the wavelength in meters (m).

Given that the wavelength \(\lambda = 532\) nm (which is \(532 \times 10^{-9}\) meters), we can plug in the values and calculate the energy.

Let me calculate that for you.The energy of the green light with a wavelength of 532 nm is approximately \( 3.74 \times 10^{-22} \) kJ.

Would you like more details on this calculation or have any other questions?

Here are 5 related questions:
1. How does the wavelength of light affect its energy?
2. What is the difference between energy in joules and kilojoules?
3. How can you calculate the frequency of light if the wavelength is known?
4. Why is Planck's constant important in quantum mechanics?
5. What is the typical energy range for visible light?

**Tip:** To convert from wavelength to energy, remember that shorter wavelengths correspond to higher energy!

The wavelength of a particular color of green light is 532 nm. The energy of this wavelength of light is ______ kJ.

Learn how to calculate the energy of green light with a wavelength of 532 nm using the Planck-Einstein relation formula. This problem covers quantum mechanics and the relationship between energy and wavelength. Suitable for Grades 10-12 students.

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