Question

An object is placed perpendicular to the the principal axis of convex lens of focal length 8,the distance of the object from the lens is 12cm .Find the position &nature of the image​

Answer 1

v = 24 cm and inverted image

Step-by-step explanation:

Given that,

The focal length of the object, f = +8 cm

Object distance, u = -12 cm

We need to find the position &nature of the image​. Let v be the image distance. Using lens formula to find it :

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

Put all the values,

`(1)/(v)=(1)/(f)+(1)/(u)\\\\(1)/(v)=(1)/(8)+(1)/((-12))\\\\v=24\ cm`

So, the image distance from the lens is 24 cm.

Magnification,

`m=(v)/(u)\\\\m=(24)/(-12)\\\\m=-2`

The negative sign of magnification shows that the formed image is inverted.