What will be the limit of resolution of a microscope if its numerical aperture is 0 . 12 and wavelength of light used is 6000   Å ?

Step-by-step solution

Given: Numerical aperture NA = 0 . 12 , wavelength λ = 6000   Å . The expression of the limit of resolution of a microscope is given as, ∆ d = λ 2 μsinθ , here μ is the refractive index and θ is half-angle subtended. We know that the numerical aperture is equal to μsinθ . Thus, the limit of resolution, ∆ d = 6000 × 10 - 10 2 × 0 . 12 = 25 × 10 - 7 ≈ 30 . 5 × 10 - 7   m .