A solar cooker uses a concave spherical mirror of focal length to focus sunlight onto…

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Geometric Optics · Geometric Optics

Problem

A solar cooker uses a concave spherical mirror of focal length 40 cm40\,\text{cm} to focus sunlight onto a cooking pot whose circular top has a radius of 12 cm12\,\text{cm}. The pot’s center is placed on the principal axis 60 cm60\,\text{cm} from the mirror’s surface. Assuming incoming sunlight is parallel to the axis and mirror aberrations are negligible, what is the minimum mirror diameter required so that the entire top surface of the pot is illuminated? (a) 32 cm32\,\text{cm} (b) 48 cm48\,\text{cm} (c) 24 cm24\,\text{cm} (d) 80 cm80\,\text{cm}

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