Question

1. what is the wavelength if the frequency is 2.60 x10¹¹ hz?

Explanation:

Step1: Recall the wave - speed formula

The speed of light $c$ is related to frequency $f$ and wavelength $\lambda$ by the formula $c = f\lambda$, where $c=3.00\times 10^{8}\ m/s$ (speed of light in a vacuum). We need to solve for $\lambda$, so $\lambda=\frac{c}{f}$.

Step2: Substitute the given values

Given $f = 2.60\times 10^{11}\ Hz$ and $c = 3.00\times 10^{8}\ m/s$. Then $\lambda=\frac{3.00\times 10^{8}\ m/s}{2.60\times 10^{11}\ Hz}$.

Step3: Calculate the wavelength

$\lambda=\frac{3.00}{2.60}\times10^{8 - 11}\ m\approx1.15\times 10^{-3}\ m = 1.15\ mm$.

Answer:

$1.15\times 10^{-3}\ m$ (or $1.15\ mm$)