An object is placed 5.00 cm beyond the focal point of a convex lens whose focal length is 10.0 cm. if the object height is 3.0 cm, calculate the image height

2

Explanation:

In here if we are place object 5cm away from a convex lense that has focal length of 10cm. Image will be formed in same size of the object . And it's upright , virtual and magnified like normal hand lense. There for wee need to use lense equation to find the image distance to get magnification of the object

Magnification = image distance / object distance

M = V/U

By lense formula ,

1/v - 1/ u = 1/ f

1/v + 1/5 = 1/ 10 ( by adding sign convention )

V = -10 cm

Therefor magnification = V / U

= 10/5

= 2

6 cm

Explanation:

The lens equation is :

where is the focal length, is the distance of the object and is the distance of the image.

To find the height of the image we first need to find the distance of the image , so we clear for it in the last equation:

and since and

so

Now to find the height of the image we use the magnification:

where is the image height, and is the object height:

clearing fot :

substituting known values:

The image height is 6cm.