A spherical mirror is to be used to form on a screen 5.0 m from the object an image five times the
size of the object.
(a) Describe the type of mirror required.
(b) Where should the mirror be positioned relative to the object?

Answer

A, B, C, D

Explanation

(a) Image has to be taken on a screen. So, it should be real ,Hence mirror should be concave.
(b)
Image is 5 times magnified.
Hence, `|v|=5|u|`
or, `(5+x) =5x`
Solving we get,
`x=1.25 cm`
Now using, `1/v+1/u=1/f=2/R`
We have, `(1)/(-6.25)-(1)/(1.25)=2/R`
solving we get, `R=-2.08m`.