Question

An object is located 40.0 cm from a convex lens. The lens focuses light at a

distance of 10.0 cm. What is the image distance?
dof
Use the equation de

Answer 1

The image of distance (di) of the object is 13.33 cm.

Step-by-step explanation:

Given data in the problem,

The object located at a distance from the convex lens.

do = 40.0 cm

The distance at which the light is focused.

f= 10.0 cm.

We need to find the image of distance di.

The lens equation gives the quantitative relation among the image distance (di), the object distance (do), and the focal length (f).

The equation is given by,

`(1)/(f) =(1)/(di) +(1)/(do)`.

`(1)/(10) =(1)/(di) +(1)/(40)`.

`(1)/(10) -(1)/(40) =(1)/(di)`.

`(4-1)/(40)=(1)/(di).\\`

`(3)/(40) = (1)/(di)`.

3 di=40.

di=
`(40)/(3)`.

di = 13.33 cm

The image of distance (di) of the object is 13.33 cm.