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PHY 104 PHY 104 Past Questions Objective Question

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.
Options
A 10 cm
B 20 cm
Correct Answer
C 11 cm
D 15 cm
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).

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