Answer:
To find the wavelength of light, you can use the relationship between energy (E), wavelength (λ), and the speed of light (c) given by the equation:
\[ E = h \cdot \dfrac{c}{\lambda} \]
where:
- \( E \) is the energy of the photon,
- \( h \) is Planck's constant (\(6.626 \times 10^{-34} \ \text{J}\cdot\text{s}\)),
- \( c \) is the speed of light in a vacuum (\(3.00 \times 10^8 \ \text{m/s}\)),
- \( \lambda \) is the wavelength.
Rearrange the formula to solve for wavelength:
\[ \lambda = \dfrac{hc}{E} \]
Now, substitute the values:
\[ \lambda = \dfrac{(6.626 \times 10^{-34} \ \text{J}\cdot\text{s})(3.00 \times 10^8 \ \text{m/s})}{3.398 \times 10^{-19} \ \text{J}} \]
Calculate this, and then convert the result to nanometers (1 meter = \(1 \times 10^9\) nanometers) to find the wavelength in nanometers.