A microscope has an objective of aperture 8 ~mm and focal length of 5 ~cm . The minimum separation between two objects to be just resolved by the microscope is (wavelength of light used =5500 Å )

Step-by-step solution

Minimum separation for a microscope, so that images of 2-near by objects are just resolved is given by aligned d_ & = 1.22 f D = 1.22 5 ~cm 5500 Å 8 ~mm & = 1.22 5 10⁻² 5500 10⁻¹⁰ 8 10⁻³ & =41.9 10⁻⁷ ~m =4.19 10⁻⁶ ~m =4.2 m aligned