a convex lens of focal length 30cm is cut half perpendicular to its principal axes what is its new focal length

wouldn't it be double 30 cm? The reason is that light has now only one half the path to be "bent" in the glass, so the the f must be farther.

To determine the new focal length of a convex lens cut in half perpendicular to its principal axis, we need to understand the concept of lens cutting.

When a lens is cut in half perpendicular to its principal axis, the resulting lens pieces are referred to as hemispheres. Each hemisphere acts as a new lens, and we need to calculate the focal length for each hemisphere.

In this case, the original convex lens has a focal length of 30 cm. So, each hemisphere would have the same focal length, which is half of the original focal length.

Therefore, the new focal length for each hemisphere is:

New Focal Length = Original Focal Length / 2
= 30 cm / 2
= 15 cm

Hence, the new focal length for each hemisphere is 15 cm.