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Question

A concave mirror of focal length \( 8 \, \text{cm} \) has an object placed \( 16 \, \text{cm} \) from
it. What is the image distance?

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Explanation

**Spherical mirror reflection** follows law θ_i = θ_r, focal length f = R/2, concave R negative, convex positive. Object beyond center C (u > 2f) forms image between F and C diminished, at C same size, between C and F magnified, beyond F forms at infinity, illustrating mirror equation. Focal length: f = -8 cm (concave mirror). Object distance: u = -16 cm . Mirror equation: (1/v) + (1/u) = (1/f) . (1/v) + (1/-16) = (1/-8) ⇒ (1/v) = (1/-8) + (1/16) = (-2 + 1/16) = (-1/16) . v = -16 cm (real image). Substituting values gives 16 cm, which matches expected image

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