An image of the moon is focused onto a screen using a converging lens of focal length f= 34.3 cm. the diameter of the moon is 3.48×10^6 m, and its mean distance from the earth is 3.85×10^8 m. what is the diameter of the moon's image?

The diameter of the moon's image is 0.31 cm.

Explanation:

Given that,

Focal length = 34.3 cm

Diameter of the moon

Mean distance from the earth

At that distance the object is assumes to be at infinity. hence the image will be formed at a distance equal to focal length

So, the image distance is 34.3 cm.

We need to calculate the  diameter of the moon's image

Using formula of magnification

Hence, The diameter of the moon's image is 0.31 cm.