(a) The radiation pressure is
(b) The atmospheric pressure is greater by a factor of
Explanation:
(a)
We have two different formulas to calculate the radiation pressure due to an electromagnetic wave:
- For a wave completely reflected, the radiation pressure is
where I is the intensity and c the speed of light
- For a wave completely absorbed, the radiation pressure is instead
Here the intensity of the wave is
However:
- 28.0% of this radiation is reflected, so the intensity associated to the reflected part of the wave is
So, the radiation pressure due to this component is
- The other 72.0% of the radiation is absorbed, so the intensity associated to the absorbed part is
So the radiation pressure due to this component is
So, the total radiation pressure is
(b)
The atmospheric pressure here is given and it is
So, we immediatly see that it is much larger than the radiation pressure calculated in part a), which was
In particular, atmospheric pressure is greater by a factor of
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