A 2.45 cm tall object is placed in 33.7 cm in front of a convex lens. The focal length
is 21.0 cm. What is the magnification of the image?

-1.65

Explanation:

First of all, we find the position of the image by using the lens equation:

where:

f is the focal length of the lens

p is the distance of the object from the lens

q is the distance of the image from the lens

For the lens in this problem:

f = 21.0 cm (the focal length of a convex lens is positive)

p = 33.7 cm

Solving for q, we find the position of the image:

Then, the magnification of the image is given by:

And substituting,

Which means that the image is inverted (negative sign) and enlarged (because M is larger than 1).

molecules are free to separate from each other and will take on the shape of the container. molecules move completely at random and high speeds. they vibrate in a fixed position and do not move around much. molecules expand to the edge of their container.