The problem asks to calculate the frequency of a microwave that has a wavelength of $3.2 \times 10^{-3}$ meters.

We can solve this using the formula that relates the speed of light $c$, wavelength $\lambda$, and frequency $f$:

$c = \lambda f$

Where:

• $c$ is the speed of light, approximately $3.0 \times 10^8$ meters per second.
• $\lambda$ is the wavelength, given as $3.2 \times 10^{-3}$ meters.
• $f$ is the frequency, which we need to find.

Rearranging the formula to solve for frequency:

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

Substitute the known values:

$f = \frac{3.0 \times 10^8}{3.2 \times 10^{-3}}$

Now, let's calculate this:

$f = \frac{3.0 \times 10^8}{3.2 \times 10^{-3}} = 9.375 \times 10^{10} \, \text{Hz}$

Thus, the frequency of the microwave is $9.375 \times 10^{10} \, \text{Hz}$.

Would you like more details or have any other questions?

5 related questions:

1. How does the wavelength of a wave relate to its frequency and speed?
2. What is the importance of knowing the frequency of electromagnetic waves like microwaves?
3. Can the frequency of a microwave affect its ability to heat materials?
4. How does the speed of light change in different media, and how does it affect the wavelength and frequency?
5. What are some applications of microwaves in technology and science?

Tip:

When working with electromagnetic waves, always ensure you're using consistent units for speed, wavelength, and frequency (e.g., meters, seconds, and hertz).