Question

Use the information and table to answer the following question.


The following data was collected of 3 different electromagnetic waves.


Wave

Wavelengths (λ)

Frequency (f)

#1

400 x 10-6 mm

750 x 10-12Hz

#2

39 x 10+6 mm

3 Hz

#3

25 x 10-6 mm

30 x 10-12Hz

#4

300 mm

300,000 Hz


Based on the information gathered, which of the waves represents an ultraviolet wave?

Question 12 options:

Wave #1


Wave #4


Wave #2


Wave #3

Answer 1

To determine which wave represents an ultraviolet wave, we need to consider the typical wavelength range for ultraviolet (UV) radiation, which is approximately 10 nm to 400 nm (or 0.01 µm to 0.4 µm).

Let's convert the wavelengths of each wave from mm to meters and then to nanometers for comparison:

1. **Wave #1**:
- Wavelength = 400 x 10^-6 mm = 400 x 10^-9 m = 400 nm

2. **Wave #2**:
- Wavelength = 39 x 10^6 mm = 39 x 10^3 m = 39,000,000 nm (not in the UV range)

3. **Wave #3**:
- Wavelength = 25 x 10^-6 mm = 25 x 10^-9 m = 25 nm (in the UV range)

4. **Wave #4**:
- Wavelength = 300 mm = 300 x 10^3 m = 300,000,000 nm (not in the UV range)

Now, let's analyze the results:

- **Wave #1** has a wavelength of 400 nm (the boundary of UV).
- **Wave #2** has a wavelength of 39,000,000 nm (far from UV).
- **Wave #3** has a wavelength of 25 nm (well within the UV range).
- **Wave #4** has a wavelength of 300,000,000 nm (not in UV).

Based on this analysis, **Wave #3** with a wavelength of 25 nm is the one that represents an ultraviolet wave.

So, the correct answer is:

**Wave #3**