Aperson has many convex lenses with only two different focal lengths (short and long) which configuration makes the best microscope (built correctly)?
a. a short focal length objective and a short focal length eyepiece.
b. a long focal length objective and a short focal length eyepiece.
c. a long focal length objective and a long focal length eyepiece.
d. a short focal length objective and a long focal length eyepiece.

Option b. A long focal length objective and a short focal length eyepiece

Explanation:

A microscope is an optical instrument which is used to get magnified images of the objects that can not be seen with naked eyes.

Therefore, a good microscope is characterized by the degree of magnification it provides and the magnification of a lens is given by the relation:

From the above relation it is clear that higher degree of magnification can only be achieved by having greater focal length of objective lens and smaller focal length of eyepiece.

option number c is the right answer.

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle