what is the wavelength of a uv light with a frequency of 8.8 x 10^17 hz? give your answer in proper…

Answer:

3.41×10^{-10} m (coefficient 3.41 in green box, exponent - 10 in yellow box)

Explanation:

Step1: Recall the wave - speed formula

$c = \lambda\nu$, where $c$ is the speed of light, $\lambda$ is the wavelength and $\nu$ is the frequency.

Step2: Rearrange the formula for wavelength

$\lambda=\frac{c}{\nu}$

Step3: Substitute the given values

$\lambda=\frac{3.0\times 10^{8}\text{ m/s}}{8.8\times 10^{17}\text{ Hz}}$

Step4: Perform the calculation

$\lambda=\frac{3.0}{8.8}\times10^{8 - 17}\text{ m}\approx0.341\times10^{-9}\text{ m}$

Step5: Convert to proper scientific notation

$\lambda = 3.41\times10^{-10}\text{ m}$