High School

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A solar cooker, which is essentially a concave mirror pointed at the Sun, focuses the Sun's rays 18.8 cm in front of the mirror. What is the radius of the spherical surface from which the mirror was made?

A. 9.4 cm
B. 37.6 cm
C. 56.4 cm
D. 75.2 cm

Answer :

Final Answer:

The radius of the spherical surface from which the mirror was made is 18.8 cm. None of the given options is answer.

Explanation:

Given: Focal length (f) = 18.8 cm

1. The focal length of a concave mirror is half of its radius of curvature (f = R/2).

2. Therefore, the radius of curvature (R) is twice the focal length.

3. Calculate the radius of curvature:

R = 2 * f = 2 * 18.8 = 37.6 cm

4. The radius of the spherical surface from which the mirror was made is half of the radius of curvature for a concave mirror.

5. Calculate the radius of the spherical surface:

Radius = R / 2 = 37.6 / 2 = 18.8 cm

Hence, 18.8 cm is the correct answer. None of the given options is answer.

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