Question Detail
Question
A concave mirror of radius curvature 20 cm has an object placed 20 cm from it.
Determine the distance of the image formed from the mirror.
Determine the distance of the image formed from the mirror.
Correct Answer
Option B is the correct answer.
Detailed Explanation
For a concave mirror, the focal length (f) is half of the radius of curvature (R).f = R / 2 = 20 cm / 2 = 10 cm.The object is placed at a distance (u) of 20 cm from the mirror.Using the mirror formula: 1/f = 1/u + 1/v, where v is the image distance.1/10 = 1/20 + 1/v.1/v = 1/10 - 1/20 = (2 - 1)/20 = 1/20.So, v = 20 cm.When an object is placed at the center of curvature (2f) of a concave mirror, the image is formed at the same location (center of curvature), is real, inverted, and of the same size.
Hint
Recall the mirror formula (1/f = 1/u + 1/v) and the relationship between focal length and radius of curvature (f = R/2).