Ultraviolet light is typically divided into three categories. UV-A, with wavelengths between 400 and 320 , has been linked with malignant melanomas. UV-B radiation, which is the primary cause of sunburn and other skin cancers, has wavelengths between 320 and 280 . Finally, the region known as UV-C extends to wavelengths of 100 .

Find the range of frequencies for UV-B radiation.

To find the range of frequencies for UV-B radiation, we need to convert the given wavelength range into frequency range using the formula:

Frequency (ν) = Speed of light (c) / Wavelength (λ)

1. Convert the lower wavelength boundary of UV-B (320 nm) into frequency:
ν1 = c / λ1
ν1 = (2.998 x 10^8 m/s) / (320 x 10^(-9) m)
ν1 ≈ 9.37 x 10^14 Hz

2. Convert the upper wavelength boundary of UV-B (280 nm) into frequency:
ν2 = c / λ2
ν2 = (2.998 x 10^8 m/s) / (280 x 10^(-9) m)
ν2 ≈ 1.07 x 10^15 Hz

Therefore, the range of frequencies for UV-B radiation is approximately 9.37 x 10^14 Hz to 1.07 x 10^15 Hz.

To find the range of frequencies for UV-B radiation, we can use the formula:

Frequency = Speed of Light / Wavelength

First, let's convert the given wavelengths to meters:

UV-B radiation has wavelengths between 320 nm and 280 nm.

320 nm = 320 × 10^-9 m
280 nm = 280 × 10^-9 m.

Now we can use the equation to find the frequencies:

Frequency (max) = Speed of Light / Wavelength (min)
Frequency (min) = Speed of Light / Wavelength (max)

The speed of light is approximately 3 x 10^8 m/s.

Frequency (max) = (3 × 10^8 m/s) / (280 × 10^-9 m)
Frequency (min) = (3 × 10^8 m/s) / (320 × 10^-9 m)

Simplifying:

Frequency (max) ≈ 1.07 x 10^15 Hz
Frequency (min) ≈ 0.938 x 10^15 Hz

Therefore, the range of frequencies for UV-B radiation is approximately 0.938 x 10^15 Hz to 1.07 x 10^15 Hz.

λ=c/f

f₁=c/λ₁=3•10⁸/320•10⁻⁹ =9.375•10¹⁴ Hz
f₂=c/λ₂=3•10⁸/280•10⁻⁹ =1.071•10¹⁵ Hz