6 cm object is 15 cm from a convex lens that has a focal length of 5 cm. What is the distance of the image from the lens, to the nearest hundredth?

Respuesta :

The distance of the image from the lens is 7.5 (7.5 = 1 / (1/5-1/15) cm. This problem can be solved using the converging lens formula for the distance which is the 1/f = 1/do + 1/di formula where f is the focal length, do is the object's distance to the lens, and di is the image's distance from the lens.

Answer:

Image will form at distance 7.5 cm from lens

Explanation:

As we know by the lens formula

[tex]\frac{1}{d_i} + \frac{1}{d_0} = \frac{1}{f}[/tex]

here we know that

[tex]d_i = 15 cm[/tex]

[tex]f = 5 cm[/tex]

now we have

[tex]\frac{1}{15} + \frac{1}{d_i} = \frac{1}{5}[/tex]

[tex]d_i = 7.5 cm[/tex]

so here a real image will form on the other side of lens at distance 7.5 cm