Question

what is the frequency of an x - ray wave with an energy of 2.0×10^(-17) j? h = 6.626×10^(-34) j·s ?×10^? hz

Explanation:

Step1: Recall the energy - frequency formula

The formula for the energy of a photon is $E = h
u$, where $E$ is the energy, $h$ is Planck's constant, and $
u$ is the frequency. We need to solve for $
u$.

Step2: Rearrange the formula to solve for frequency

We can rewrite the formula as $
u=\frac{E}{h}$.

Step3: Substitute the given values

Given $E = 2.0\times 10^{-17}\text{ J}$ and $h = 6.626\times 10^{-34}\text{ J}\cdot\text{s}$, then $
u=\frac{2.0\times 10^{-17}\text{ J}}{6.626\times 10^{-34}\text{ J}\cdot\text{s}}$.

Step4: Calculate the frequency

$
u=\frac{2.0}{6.626}\times10^{-17 - (- 34)}\text{ Hz}\approx0.302\times10^{17}\text{ Hz}=3.02\times 10^{16}\text{ Hz}$

Answer:

$3.02\times 10^{16}$