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. Then find the magnitude of f if an object O is placed in front of a small plane mirror M1 and a large convex mirror M2 of focal length f.
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a
x−y
b
x2−y22y
c
x2+y22y
d
x2+y2x−y
answer is B.
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Detailed Solution
For plane mirror image forms at distance ‘x’ For convex mirror object distance u = x + y Image distance v=x−y 1f=1x−y−1x+y=2yx2−y2, f=x2−y22y