1.

An object O is placed in front of a small plane mirror M1 and a large convex mirror M2 of focal length f. The distance between O and M1 is x, and the distance between M1 and M2 is y. The images of O formed by M1 and M2 coincide. The magnitude of f is(a) x2 - y2/2y(b) x2 + y2/2y(c) x - y(d) x2 + y2/x - y

Answer»

Correct Answer is: (a) x2 - y2/2y

Due to M1, an image is formed at a distance x from M1, i.e., at a distance x - y behind M2. Thus, for M2,

u = -(x + y), v = x - y.

Use 1/v + 1/u = 1/f.



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