1)The disk of the Sun subtends an angle of 0.533° at the Earth. What are (a) the

Question

1)The disk of the Sun subtends an angle of 0.533° at the Earth. What are (a) the position and (b) the diameter of the solar image formed by a concave spherical mirror with a radius of curvature of magnitude 3.00 m

2)

Assume the intensity of sunlight is 1.00 kW/m2 at a particular

location. A highly reflecting concave mirror is

to be pointed toward the Sun to produce a power of at

least 350 W at the image point. (a) Assuming the disk

of the Sun subtends an angle of 0.533Åã at the Earth,

find the required radius Ra of the circular face area

of the mirror. (b) Now suppose the light intensity is to

be at least 120 kW/m2 at the image. Find the required

relationship between Ra and the radius of curvature R

of the mirror.

Explanation / Answer

the position is calculated as follows:

position =f = R/2 = 3 / 2 = 1.5 m

the diameter is calculated as follows:

h = f*tan@ = 1.5 *tan0.533 = 0.0139 m = 1.39 m = 1.4 m

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