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An object is placed 15 cm from a convex ...

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

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The correct Answer is:
11.25 cm ; 0.75

Here, `u = -15 cm, R = 90 cm, v = ?, m = ?`
As `(1)/(v) + 1/u = (1)/(f) = 2/R, (1)/(v) = 2/R - 1/u =2/90 - 1/(-15) = (2+6)/90`
or `v = 90/8 = 11.25 cm`
Also, `m = -v/u = - (90)/(8(-15)) = 0.75`
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