Optics Question 926

An object $ 1cm $ tall is placed $ 4cm $ in front of a mirror. In order to produce an upright image of $ 3cm $ height one needs a

[SCRA 1994]

Options:

A) Convex mirror of radius of curvature $ 12cm $

B) Concave mirror of radius of curvature $ 12cm $

C) Concave mirror of radius of curvature $ 4,\text{cm} $

D) Plane mirror of height $ 12cm $

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Answer:

Correct Answer: B

Solution:

Erect and enlarged image can be produced by concave mirror. $ \frac{I}{O}=\frac{f}{f-u}\Rightarrow \frac{+\ 3}{+1}=\frac{f}{f-(-\ 4)}\Rightarrow f=-\ 6cm $

$ \Rightarrow R=2f=24cm $



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