To convert a wavelength in nanometers to joules:
\[ E = \frac{h \cdot c}{\frac{v}{10^9}} \]
Where:
Energy from wavelength refers to the energy of a photon, which can be calculated using the wavelength of the light. This is important in fields such as quantum mechanics and spectroscopy, where understanding the energy of photons is crucial for analyzing the behavior of atoms and molecules.
Let's assume the following value:
Using the formula:
\[ E = \frac{6.62606957 \times 10^{-34} \cdot 299792458}{\frac{500}{10^9}} \approx 3.97 \times 10^{-19} \text{ Joules} \]
The Energy is approximately \(3.97 \times 10^{-19}\) Joules.
Let's assume the following value:
Using the formula:
\[ E = \frac{6.62606957 \times 10^{-34} \cdot 299792458}{\frac{700}{10^9}} \approx 2.84 \times 10^{-19} \text{ Joules} \]
The Energy is approximately \(2.84 \times 10^{-19}\) Joules.