Question

Obtain the position, nature and size of an image formed by a plane mirror from the formula of magnification.Answer the given question in brief.

Answer 1

as you know, magnification of plane mirror is +1
Positive value of magnification indicates that image formed by plane mirror is erect.
and also, magnification = $\bf{\frac{h_i}{h_o}}$ = 1
$\implies \bf{h_i=h_0}$
where $\bf{h_i}$ is the height of image .
$\bf{h_o}$ is the height of object.

Therefore, Image formed by plane mirror is of the same size as of the object.
magnification = $\bf{-\frac{v}{u}}$ = 1
$\implies \bf{v = -u}$
This shows that image formed by plane mirror is at same distance as the object but behind the mirror means image is virtual.

thus, Image formed by plane mirror is virtual, erect and same as size of the object.

Answer 2

Explanation:

as you know, magnification of plane mirror is +1

Positive value of magnification indicates that image formed by plane mirror is erect.

and also, magnification = \bf{\frac{h_i}{h_o}}

h

o

h

i

= 1

\implies \bf{h_i=h_0}⟹h

i

=h

0

where \bf{h_i}h

i

is the height of image .

\bf{h_o}h

o

is the height of object.

Therefore, Image formed by plane mirror is of the same size as of the object.

magnification = \bf{-\frac{v}{u}}−

u

v

= 1

\implies \bf{v = -u}⟹v=−u

This shows that image formed by plane mirror is at same distance as the object but behind the mirror means image is virtual.

thus, Image formed by plane mirror is virtual, erect and same as size of the object.