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 $E = hf$, where $E$ is energy, $h$ is Planck's constant, and $f$ is frequency. We need to solve for $f$.

Step2: Rearrange the formula to solve for frequency

$f=\frac{E}{h}$

Step3: Substitute the given values

Given $E = 2.0\times10^{-17}\text{ J}$ and $h = 6.626\times10^{-34}\text{ J}\cdot\text{s}$, then $f=\frac{2.0\times 10^{-17}\text{ J}}{6.626\times 10^{-34}\text{ J}\cdot\text{s}}$

Step4: Calculate the value of frequency

$f=\frac{2.0}{6.626}\times10^{-17 - (- 34)}\text{ Hz}\approx0.3\times10^{17}\text{ Hz}=3.0\times10^{16}\text{ Hz}$

Answer:

$3.0\times10^{16}$