Explore BrainMass

Explore BrainMass

    Radius of a concave mirror using the intensity of sunlight

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    The intensity of sunlight is 1.00 kW/m^2. A highly reflective concave mirror is pointed at the sun to produce a power of at least 350 W at the image.
    a) Find the radius r of the circular mirror.
    b) Suppose the light intensity is to be at least 120 kW/m^2. Find the relationship between r (the radius) and R (the curvature) of the mirror. The disk of the Sun subtends an angle of 0.533 degrees at the Earth.

    © BrainMass Inc. brainmass.com May 24, 2023, 12:53 pm ad1c9bdddf

    Solution Preview

    Object size is (sun's diameter) angle = arc/radius

    Arc(dia of the sun) = 0.533 x (pi/180) x 15 x 10^10 m = 14 x 10^8 m

    where 15 x 10^10 is the distance of sun from the earth.

    To find the image size:
    1kW/m^2 is ...

    Solution Summary

    Interesting problem with an easy to understand solution.