What is the wavelength of a UV light with a frequency of \( 2.3 \times 10^{15} \mathrm{~Hz} \) ? Give your answer in proper scientific notation. \( \quad[?] \times 10^{[?]} \mathrm{m} \) \( \mathrm{c}=3.0 \times 10^{8} \mathrm{~m} / \mathrm{s} \) Enter the coeficient in the green box and the exponent in the yellow box.

To find the wavelength (\(\lambda\)) of the UV light, we use the fundamental relationship between the speed of light (\(c\)), frequency (\(\nu\)), and wavelength: \[ \lambda = \frac{c}{\nu} \] **Given:** - Speed of light, \(c = 3.0 \times 10^{8} \, \text{m/s}\) - Frequency, \(\nu = 2.3 \times 10^{15} \, \text{Hz}\) **Calculation:** \[ \lambda = \frac{3.0 \times 10^{8} \, \text{m/s}}{2.3 \times 10^{15} \, \text{Hz}} = \frac{3.0}{2.3} \times 10^{8 - 15} \, \text{m} = 1.3 \times 10^{-7} \, \text{m} \] **Final Answer:** \[ \lambda = \boxed{1.3} \times 10^{\boxed{-7}} \, \text{m} \]