Question

An object of size 7.5 cm is placed in front of a convex mirror of radius of curvature 25cm at a distance of 40cm . The size of the image should be.

Answer 1

$\huge\underline\green{\sf Answer :-}$

$\large{\boxed{\sf Size\:Of\:Image\:(I)=-1.78cm}}$

$\huge\underline\green{\sf Solution :-}$

Given :-

Object size (O) = 7.5 cm

Radius of Curvature (R) = 25 cm

Distance of Object (u) = 40cm

Image size (I) = ?

We know that,

Magnification (m):-

$\large{\boxed{\sf m={\frac{I}{O}}=>{\frac{f}{f-u}}}}$

$\large{\sf {\frac{I}{7.5}}={\frac{R/2}{R/2-u}}}$

$\large\implies{\sf {\frac{25/2}{(25/2)-(-40)}}}$

$\large\red{\boxed{\sf I=-1.78 cm}}$