A linear object of height 10 cm is kept in front of a concave mirror of radius of curvature 15 cm , at a distance of 10 cm . The image formed is

Question

A linear object of height 10 cm is kept in front of a concave mirror of radius of curvature 15 cm , at a distance of 10 cm . The image formed is, Magnified and erect, Magnified and inverted, Diminished and erect, Diminished and inverted

MARKS App · Accepted Answer

Given, Height of object h 0 = 10 c m Radius of curvature R = 15 c m Distance of object u = - 10 c m We know that, f = R 2 = 15 2 c m According to mirror formula, 1 f = 1 u + 1 v 1 - 15 2 = 1 - 10 + 1 v ⇒ 1 v = - 2 15 + 1 10 ⇒ 1 v = - 4 + 3 30 ⇒ 1 v = - 1 30 ⇒ v = - 30 c m Magnification m = h i h o = - v u = h i 10 = - - 30 - 10 ⇒ h i = - 3 Hence, image will be magnified and inverted.

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