A standard biological microscope is required to have amagnification of 200.
1)When paired with a 10 eyepiece, what power objective isneeded to get this magnification? Assume that the length of thetube of a standard biological microscope is 15 .
2) What is the focal length of the objective?
1. 20.0
1- M_o=200x/10x=20
85
To calculate the power objective needed to achieve a magnification of 200 when paired with a 10 eyepiece, you can use the formula for the total magnification of a compound microscope:
Total magnification = Power objective x Power eyepiece
Given that the eyepiece power is 10 and the desired total magnification is 200, we can rearrange the formula to solve for the power objective:
Power objective = Total magnification / Power eyepiece
Substituting the values, we get:
Power objective = 200 / 10 = 20
Therefore, the power objective needed to achieve a magnification of 200 when paired with a 10 eyepiece is 20.
Now, to find the focal length of the objective, we can use another formula:
Power objective = 1 / focal length (in meters)
Rearranging the formula to solve for the focal length:
focal length = 1 / Power objective
Substituting the value we found for the power objective:
focal length = 1 / 20 = 0.05 meters (or 50 mm)
Therefore, the focal length of the objective is 0.05 meters (or 50 mm).