Question

PLEASE HELP FAST The object distance for a convex lens is 15.0 cm, and the image distance is 5.0 cm. The height of the object is 9.0 cm. What is the height of the image?

Answer 1

The image height is 3.0 cm

Step-by-step explanation:

Given;

object distance,
`d_o` = 15.0 cm

image distance,
`d_i` = 5.0 cm

height of the object,
`h_o` = 9.0 cm

height of the image,
`h_i` = ?

Apply lens equation;

`(h_i)/(h_o) = -(d_i)/(d_o)\\\\ h_i = h_o(-(d_i)/(d_o))\\\\h_i = -9((5)/(15) )\\\\h_i = -3 \ cm`

Therefore, the image height is 3.0 cm. The negative values for image height indicate that the image is an inverted image.