JEE Main 2024 Physics question

PhysicsRay Optics and Optical InstrumentsJEE Main 2024

A convex mirror of radius of curvature 30 cm forms an image that is half the size of the object. The object distance is-

Answer: (D)

Solution

m = 1/2 = −v/u gives v = −u/2. Mirror formula (f = +15 cm): 1/v + 1/u = 1/15, i.e. −2/u + 1/u = 1/15, so u = −15 cm.

Question ID VK-016849