What is the wavelength of a UV light with a frequency of \( 8.8 \times 10^{17} \mathrm{~Hz} \) ? Give your answer in proper scientific notation. \( \qquad \) [?] \( ] \times 10^{[?]} \mathrm{m} \) \( c=3.0 \times 10^{8} \mathrm{~m} / \mathrm{s} \) Enter the coefficient in the green box and the exponent in the yellow box.

To find the wavelength (\( \lambda \)) of UV light, you can use the formula: \[ \lambda = \frac{c}{f} \] where \( c \) is the speed of light \( (3.0 \times 10^{8} \, \text{m/s}) \) and \( f \) is the frequency \( (8.8 \times 10^{17} \, \text{Hz}) \). Plugging in the numbers: \[ \lambda = \frac{3.0 \times 10^{8} \, \text{m/s}}{8.8 \times 10^{17} \, \text{Hz}} \approx 3.41 \times 10^{-9} \, \text{m} \] Thus, the wavelength is approximately: \[ 3.41 \times 10^{-9} \text{ m} \] So, in the correct format: Coefficient: 3.41 Exponent: -9 --- Want to know a bit about how UV light was discovered? The ultraviolet region of the electromagnetic spectrum was first identified by Johann Wilhelm Ritter in 1801. He was experimenting with sunlight and noticed that certain chemicals would darken when exposed to what lay beyond the violet part of the visible spectrum. This groundbreaking work paved the way for understanding the different types of light and their various effects! And speaking of effects, UV light isn’t just for causing sunburns! UV lamps are used in many real-world applications, like sterilizing equipment in hospitals, curing inks and resins in printing, and even in bug zappers! So, while it’s essential to protect ourselves from its harsh effects, it’s equally fascinating to see how we harness its powers for good!