https://file.aiquickdraw.com/mathbot/file/1729790954307nq99brtb.jpg

Let's solve part (a) of the question using the given values.

The formula that relates the speed of light (\(c\)), wavelength (\(\lambda\)), and frequency (\(f\)) of an electromagnetic wave is:

\[
c = f \cdot \lambda
\]

Where:
- \(c = 3 \times 10^8 \, \text{m/s}\) (speed of light),
- \(\lambda = 6.00 \times 10^{-5} \, \text{m}\) (given wavelength).

Rearranging the formula to find the frequency:

\[
f = \frac{c}{\lambda}
\]

Substitute the values:

\[
f = \frac{3 \times 10^8}{6.00 \times 10^{-5}} = 5 \times 10^{12} \, \text{Hz}
\]

Now, from the table, we see that this frequency falls within the range of **infrared** radiation, which is from \(10^{11} \, \text{Hz}\) to \(10^{14} \, \text{Hz}\).

Thus, the type of electromagnetic wave is **infrared**.

### Part (b):
An application of **infrared radiation** is in **thermal imaging cameras** or **night-vision devices**, as infrared radiation is emitted by warm objects.

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Would you like further details or have any questions?

### Related Questions:
1. How is the frequency of a wave related to its energy?
2. What are other applications of infrared radiation besides thermal imaging?
3. What is the relationship between frequency and wavelength for electromagnetic waves?
4. How does the speed of light in different mediums affect the wavelength and frequency?
5. How do microwaves differ from infrared waves in terms of frequency and application?

#### Tip:
Always use the formula \(c = f \cdot \lambda\) when relating wavelength and frequency for electromagnetic waves in a vacuum.

a) A certain type of electromagnetic wave has a wavelength of 6.00 x 10^-5 m. Perform the necessary calculation and use the table to identify the type of this electromagnetic wave. Given that the speed of EM waves in a vacuum is 3 x 10^8 m/s.
b) State ONE application of the type of radiation identified in part (i).

Learn how to calculate the frequency of an electromagnetic wave with a wavelength of 6.00 x 10^-5 m and use it to identify the wave type using the electromagnetic spectrum. This problem also highlights an application of infrared radiation, ideal for students in Grades 9-12.

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