Question

Show that the mirror formula for spherical mirrors also holds for a plane mirror too??????

Answer 1

The mirror formula is 1/u + 1/v = 1/f.For a plane mirror f = $\infty $.

Substituting, we have
1/u + 1/v + 1/$\infty $ ======> 1/u = - 1/v =====>
-v

Answer 2

Hey!!

Using mirror formula

1/v + 1/u = 1/f

For plane mirror f = infinity

Hence,

1/v + 1/u = 0

So,

v = -u

It means that image is at equal distance and in opposite side of the object. This is the true condition in image formation through plane mirror. Hence spherical mirror formula holds equally to a plane mirror.

GOOD LUCK!!