Question

when an object is placed at a distance of 50 cm from and concave spherical mirror the magnification produced is

Answer 1

Hi dear friend  :)

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For a spherical mirror, magnification M = - $\frac{v}{u}$

{ i.e; the ratio of image distance to object distance }

for spherical mirrors :

         $\frac{1}{v} + \frac{1}{u} = \frac{1}{f}$  - 1)

{ f = focal distance which is 1/2 radius of curvature }

{ v = image distance }

{ u = object distance }

acc. to question, we only have u = 50 cm and all the other parameters are unknown.

modifying formula 1) by dividing with -u throughout,

we get :

m - 1 =             - $\frac{1}{fu}$

m =                        $\frac{fu -1}{fu}$

m =                    $\frac{ 50f-1 }{ 50f }$  [Ans.]

magnification can be obtained only if f is known .....

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cheers