Question

An object is placed at 15 cm from a convex mirror of radius of curvature 90 cm. Calculate the position of the image and

magnification​

Answer 1

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r = 90 cm

u = 15 cm

f = -45 cm

v = u.f / (u - f) = (15 *-45) / (15 - (-45)) = -675 / (15 + 45) = -675 / 60 = -11.25 cm

Image is imaginary at a distance of 11.25 cm from optical center of mirror.

magnification = - v / u = 11.25 / 15 = 0.75

Coordinate System:

formula: (1 / f) = (1 / u) + (1 / v)

Distance measured in side where reflected rays exists in positive, elsewhere negative. (for all measurement except u)

Moving from Object to Optical center, if direction is same as the direction of incident ray u is positive or else negative. (only applicable for u)

Explanation: