Question

calculate the wavelength in meters of electromagnetic radiation that has a frequency of 760.0 khz. (c = 3.00×10^8 m/s)

Explanation:

Step1: Convert frequency to Hz

The frequency $f = 760.0\ kHz=760.0\times10^{3}\ Hz$

Step2: Use the wave - speed formula

The speed of light $c = 3.00\times 10^{8}\ m/s$, and the formula relating the speed of light $c$, frequency $f$ and wavelength $\lambda$ is $c = f\lambda$. We can solve for $\lambda$: $\lambda=\frac{c}{f}$

Step3: Substitute values

Substitute $c = 3.00\times 10^{8}\ m/s$ and $f = 760.0\times 10^{3}\ Hz$ into the formula: $\lambda=\frac{3.00\times 10^{8}}{760.0\times 10^{3}}$

Step4: Calculate the result

$\lambda=\frac{3.00\times 10^{8}}{760.0\times 10^{3}}=\frac{3.00\times10^{8 - 3}}{760.0}=\frac{3.00\times 10^{5}}{760.0}\approx394.7\ m$

Answer:

$394.7\ m$