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The image of an object kept at a distanc...

The image of an object kept at a distance of 30 cm in front of a concave mirror is found to coincide with itself. If a glass slab `(mu=1.5)` of thickness 3 cm is introduced between the mirror and the object, then
a. Identify, in which direction the mirror should be displaced so that the final image may again coincide with the object itself.
b. Find the magnitude of displacement.

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