Mirror Equation

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 gap between the images formed by the two mirrors. The radius of the convex mirror is:

A large temple has a depression in one wall. On the floor plan, it appears as an indentation having a spherical shape of radius $\mathrm{2}.50 \mathrm{m}$. A worshipper stands on the centreline of the depression, $\mathrm{2}.00 \mathrm{m}$ out from its deepest point, and whispers a prayer. Where is the sound concentrated after reflection from the black wall of the depression?

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