Resolution of microscope θ = \(\frac{0.61\lambda}{NA}\)
Where NA = numerical aperture
NA = n sinθ
For Good lens,
n = 1
θ = 70°
NA = 1 x sin 70°
NA = 0.94
λ = \(\frac{h}{\sqrt{2mE}}\)
λ = \(\frac{6.64\times 10^{-34}}{\sqrt{2\times 9.1\times 10^{-31}\times 175 \times 1.6\times 10^{-19}}}\)
λ = \(\frac{6.64\times 10^{-34}}{71.38\times 10^{-25}}\)
λ = 0.093 x 10-9
λ = 0.93 x 10-10 m
λ = 0.93 Å
Resolution of microscope θ = \(\frac{0.61\times 0.93\times 10^{-10}}{NA}\)
θ = \(\frac{0.61\times 0.93\times 10^{-10}}{0.94}\)
θ = 0.60 x 10-10.
