Question

what is the frequency of ultraviolet light with wavelength 2.94×10⁻⁸ m? (c = 3.00×10⁸ m/s)

Explanation:

Step1: Recall the formula

The formula relating the speed of light ($c$), wavelength ($\lambda$), and frequency ($
u$) is $c = \lambda
u$.

Step2: Solve for frequency

Rearrange the formula to solve for $
u$: $
u=\frac{c}{\lambda}$.

Step3: Substitute values

Substitute $c = 3.00\times 10^{8}\text{ m/s}$ and $\lambda=2.94\times 10^{-8}\text{ m}$ into the formula:

$$ u=\frac{3.00\times 10^{8}\text{ m/s}}{2.94\times 10^{-8}\text{ m}}$$

Step4: Calculate

$$ u=\frac{3.00}{2.94}\times10^{8 - (- 8)}=\frac{3.00}{2.94}\times10^{16}\approx1.02\times 10^{16}\text{ Hz}$$

Answer:

$1.02\times 10^{16}\text{ Hz}$