Optics Question 902

Question: A convex mirror of focal length f forms an image which is $ \frac{1}{n} $ times the object. The distance of the object from the mirror is

Options:

A) $ (n-1)f $

B) $ ( \frac{n-1}{n} )f $

C) $ ( \frac{n+1}{n} )f $

D) $ (n+1)f $

Show Answer

Answer:

Correct Answer: A

Solution:

$ m=+\frac{1}{n}=-\frac{v}{u}\Rightarrow v=-\frac{u}{n} $ .

By using mirror formula $ \frac{1}{f}=\frac{1}{-\frac{u}{n}}+\frac{1}{u} $

$ \Rightarrow u=-(n-1)f $



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