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An object is placed in front of a convex mirror at a distance of 50 cm. A plane mirror is introduced covering the lower half of the convex mirror. If the distance between the object and the plane mirror is 30 cm, it is found that there is no parallax between the images formed by the two mirrors. The radius of curvature of the convex mirror________cm.

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Detailed Solution

There is no parallax so images formed by two mirror will coincide
u = -50 cm and V= 10 cm
$\frac{1}{10} + \frac{1}{- 50} = \frac{1}{f} f = 12.5 c m$

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