Question

If an object is placed at a distance of 10 cm in front of a concave mirror of focal length 4 cm, find the position and characteristics of the image formed. Also, find the magnification.

Answer 1

Step-by-step explanation:

Focal length f = - 4 cm

Object distance u = - 10 cm

v , image distance = ?

Mirror formula

`(1)/(v) +(1)/(u) = (1)/(f)`

Putting the given values

`(1)/(v) - (1)/(10) = - (1)/(4)`

`(1)/(v)= - (3)/(20)`

v = - 6.67 cm .

magnification

m = v / u

= - 6.67 / - 10

= .667

so image will be smaller in size in comparison with size of object .

Characteristics will be that ,

1 ) it will be inverted and

2 ) it will be real image .