the speed of all electromagnetic waves is 3.00×10^8 meters per second. what is the wavelength of an x - ray…

Explanation:

Step1: Recall the wave - speed formula

The formula for the speed of a wave is $v = f\lambda$, where $v$ is the speed of the wave, $f$ is the frequency, and $\lambda$ is the wavelength. We need to solve for $\lambda$, so we can rewrite the formula as $\lambda=\frac{v}{f}$.

Step2: Substitute the given values

We are given that $v = 3.00\times10^{8}\ m/s$ and $f = 1.18\times 10^{18}\ Hz$. Substituting these values into the formula $\lambda=\frac{v}{f}$, we get $\lambda=\frac{3.00\times 10^{8}}{1.18\times 10^{18}}$.

Step3: Perform the calculation

Using the rule of exponents $\frac{a^{m}}{a^{n}}=a^{m - n}$, we have $\lambda=\frac{3.00}{1.18}\times10^{8 - 18}$. $\frac{3.00}{1.18}\approx2.54$, and $10^{8 - 18}=10^{- 10}$. So $\lambda\approx2.54\times10^{-10}\ m$.

Answer:

$2.54\times 10^{-10}$ meters