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A convex mirror with a radius of curvature of 3m is used as rear view in an automobile. If a busis located at 5m from this mirror, find the position, nature and size of the imaze.

Answer»

udent,# Given -R = 3 mu = -5 m# Solution -Focal LENGTH of mirror is half of its radius of curvature.f = r/2f = 1.5 mNow, using mirror formula -1/f = 1/u + 1/v1/1.5 = 1/-5 + 1/v1/v = 1/1.5 + 1/51/v = (5+1.5) / (5×1.5)v = 7.5 / 6.5v = 1.154 mMagnification is calculated by -M = -v/uM = -1.154/-5M = 0.231Therefore, image is formed at 1.154 m BEHIND the mirror and it will be virtual, erect and diminished (M<1).HOPE this helps you...



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