Atmospheric ozone plays a protective role by absorbing high‑energy, damaging UV radiation, including UV‑A (320–400 nm) , UV‑B (280–320 nm), and UV‑C (200–280 nm). Unfortunately, human‑caused pollution has eroded the ozone layer in the stratosphere, allowing a greater amount of ultraviolet radiation to reach the Earth's surface. The damaging effects of the radiation are related to its photon energy.Arrange the regions of UV radiation from lowest to highest photon energy.UV‑BUV‑CUV‑ALowest photon energy: ______________Middle photon energy: _______________Highest photon energy: ______________ Which region of the UV spectrum has the greatest frequency?1. UV‑C2. All three regions have the same frequency.3. UV‑A4. UV‑B

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Asked Oct 27, 2019
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Atmospheric ozone plays a protective role by absorbing high‑energy, damaging UV radiation, including UV‑A (320–400 nm) , UV‑B (280–320 nm), and UV‑C (200–280 nm). Unfortunately, human‑caused pollution has eroded the ozone layer in the stratosphere, allowing a greater amount of ultraviolet radiation to reach the Earth's surface. The damaging effects of the radiation are related to its photon energy.

Arrange the regions of UV radiation from lowest to highest photon energy.

UV‑B

UV‑C

UV‑A

Lowest photon energy: ______________

Middle photon energy: _______________

Highest photon energy: ______________

 

Which region of the UV spectrum has the greatest frequency?

1. UV‑C

2. All three regions have the same frequency.

3. UV‑A

4. UV‑B

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Expert Answer

Step 1

The energy of a photon of a radiation is expressed as:

h c
E
Where, E energy of a photon
h
Planck's constant = 6.626 x 1034 J/s
c speed of light = 3 x 108 m/s
A =
wavelength
help_outline

Image Transcriptionclose

h c E Where, E energy of a photon h Planck's constant = 6.626 x 1034 J/s c speed of light = 3 x 108 m/s A = wavelength

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Step 2

Given,

Wavelength range of UV‑A = 320–400 nm 

Wavelength range of UV‑B = 280–320 nm

Wavelength range of UV‑C = 200–280 nm

Let us calculate the mean wavelength value for every radiation as:

 

UV-A 320400 nm
320 nm 400 nm
Mean wavelength
- 360 nm 360 x 109 m
2
UV-B 280-320 nm:
280 nm 320 nm
Mean wavelength
= 300 nm = 300 x 10-9 m
2
UV-C 200-280 nm
200 nm 280 nm
Mean wavelength
= 240 nm = 240 x 10-9 m
2
help_outline

Image Transcriptionclose

UV-A 320400 nm 320 nm 400 nm Mean wavelength - 360 nm 360 x 109 m 2 UV-B 280-320 nm: 280 nm 320 nm Mean wavelength = 300 nm = 300 x 10-9 m 2 UV-C 200-280 nm 200 nm 280 nm Mean wavelength = 240 nm = 240 x 10-9 m 2

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Step 3

The energy of one photon of UV‑A ...

h c
E
λ
6.626 X10 34 J/sx з x108 m/s
Е—
360 X10-9 m
E 3 5.52 х 10-19 J
help_outline

Image Transcriptionclose

h c E λ 6.626 X10 34 J/sx з x108 m/s Е— 360 X10-9 m E 3 5.52 х 10-19 J

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