Question

( i) an object 1 centimetre is placed in front of a convex mirror of focal and 4 centimetre find by geometrical construction the position, the size and nature of the image. (ii) object is now placed 3 cm in front of the mirror find by construction this position size and nature of the image.​

Answer 1

Answer:

Given,

$h_{0}$=1cm;$h_{1}$=3

u= -4cm

m=$\frac{hi}{h0}$=$\frac{3}{1}$=3

m=$\frac{v}{v}$=3⇒v=$3_{u}$

$\frac{1}{f}$=$\frac{1}{v}$+$\frac{1}{u}$=$\frac{1}{12}$-$\frac{1}{4}$

$\frac{1-3}{12}$=$\frac{-2}{12}$=$\frac{1}{6}$

f= -6cm

The mirror must be concave mirror of focal length 6 cm i.e.,

R=2f=12cm

Explanation: