First slide

Momentum and Radiation pressure

Question

The incident intensity of an a horizontal surface at sea level from sun is about 1 kW/m². Assuming that 50% of this intensity is reflected and 50% is absorbed, then the radiation pressure on this horizontal surface

Difficult

A

5 × 10^-6pascal
B

10 × 10^-6pascal
C

2.5 × 10^-6pascal
D

1.25 × 10^-6pascal

Solution

Total radiation pressure on the surface
$\begin{array}{rcl} P & = & \frac{I / 2}{C} + 2 \frac{I / 2}{C} = \frac{I}{2 C} + \frac{2 I}{2 C} = \frac{3 I}{2 C} \\ P & = & \frac{3}{2} x \frac{1000}{3 x 10^{8}} = 5 x 10^{- 6} pascal \end{array}$

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