Question

what is the wavelength of the radio wave, in meters?
$f$ or $
u = 1.053 \times 10^8$ hz
? m

Explanation:

Step1: Recall wave speed formula

All electromagnetic waves (including radio waves) travel at the speed of light $c = 3.00 \times 10^8 \, \text{m/s}$. The relationship between speed, wavelength $\lambda$, and frequency $
u$ is:

$$c = \lambda u$$

Step2: Rearrange for wavelength

Isolate $\lambda$ by dividing both sides by $
u$:

$$\lambda = \frac{c}{ u}$$

Step3: Substitute values

Plug in $c = 3.00 \times 10^8 \, \text{m/s}$ and $
u = 1.053 \times 10^8 \, \text{Hz}$:
$$\lambda = \frac{3.00 \times 10^8}{1.053 \times 10^8}$$

Step4: Calculate the result

Cancel $10^8$ terms and compute the quotient:
$$\lambda \approx 2.85$$

Answer:

$2.85$ m