Question Detail
Question
The image of an object placed 15 cm from a convex lens having focal length 10 cm has these characteristics:
Correct Answer
Option A is the correct answer.
Detailed Explanation
The object distance (15 cm) lies between f (10 cm) and 2f (20 cm) for a convex lens. Using 1/v = 1/f + 1/u with u = -15 (Cartesian sign convention), f = 10: 1/v = 1/10 - 1/15 = 1/30, so v = 30 cm (positive - a REAL image). Magnification m = -v/u = -30/(-15) = 2 (magnitude greater than 1 - MAGNIFIED; the sign shows it's INVERTED). This matches the standard rule: object between f and 2f gives a real, inverted, magnified image.
Hint
The object distance (15 cm) lies between f (10 cm) and 2f (20 cm) for a convex lens.