Question

An object at $5cm$ height, is placed at $200m$ in front of concave mirror of focal length $10cm$. Find the image distance, height, magnification of the image and characteristic of the image?

Answer 1

$h=5cm,u=-200cm,f=-10cm$

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

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

$\frac{1}{-10}-\frac{1}{-200}$

$v=-\frac{200}{19}cm$

$\frac{h^{\prime }}{h}=-\frac{v}{u}$

Image height $h^{\prime }=-5\times \frac{200}{19\times 200}=-\frac{5}{19}$

Magnification $=-\frac{v}{u}=-\frac{1}{19}$

Characterstics:

• Real image
• Diminished
• Inverted