Practice question
Question
An object is placed \( 12 \, \text{cm} \) from a concave mirror of focal length \( 6 \, \text{cm} \).
What is the image distance?
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 = -6 cm , u = -12 cm . Mirror equation: (1/v) + (1/-12) = (1/-6) ⇒ (1/v) = (1/-6) + (1/12) = (-2 + 1/12) = (-1/12) . v = -12 cm (real image). Substituting values gives 12 cm, which matches expected image position and magnification from mirror/lens formula 1/f = 1/v
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