What is the theoretical limit of resolution in micrometers when there is a numerical aperture (N.A) of 0.10, 500nm wavelength, and 4X magnification?

To calculate the theoretical limit of resolution in micrometers, we can use the formula:

Resolution = 0.61 * (wavelength / N.A.)

Given:
Wavelength (λ) = 500nm (nanometers)
Numerical Aperture (N.A.) = 0.10
Magnification = 4X

1. Convert the wavelength from nanometers to micrometers:
500nm = 0.5μm

2. Substitute the values into the formula:

Resolution = 0.61 * (0.5μm / 0.10)
= 0.61 * (5μm / 1)
= 0.61 * 5μm
= 3.05μm

Therefore, the theoretical limit of resolution is 3.05 micrometers.