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Question:

An object is placed at a distance of 10 cm from a convex mirror of focal length 15 cm. Find the position and nature of the image.

Solution:

Given: f = 15 cm, u = -10 cm
From mirror formula, 1/u + 1/v = 1/f
1/(-10) + 1/v = 1/15
1/v = 1/15 + 1/10
1/v = (2 + 3)/30
1/v = 5/30
1/v = 1/6
v = 6 cm
Image is formed 6 cm to the right of the mirror. Image formed is virtual and erect.