Question

An object is placed at $9\, cm$ in front of a concave mirror of radius of curvature $12\, cm$. The following statement is true

• A. The image is formed 36 cm behind the mirror
• B. The image is 36 cm in front of the mirror
• C. The image is magnified, virtual and erect
• D. The image is magnified, real and erect
• E. The image is magnified, real and inverted

Answer 1

Answer: (E)

Given, object distance $u=-9\,cm$, radius of curvature, $R=-12\,cm$
As we know mirror formula
$\frac{1}{v}+\frac{1}{u} =\frac{2}{R} \Rightarrow \frac{1}{v}-\frac{1}{9}=\frac{2}{12} $
$\Rightarrow v=-18\,cm$
Now, lateral magnification
$m=-\frac{v}{u}=-\frac{(-18)}{(-9)}=-2$
So, image is magnified, real and inverted.