A microscope has an objective lens with an aperture of diameter 0.60 cm where a monochromatic light source of wavelength 580 nm is used to illuminate the object. It is determined that the minimum angle of resolution is 1.18 *10 ^- ⁴ rad. If the illuminating source were replaced by a source of wavelength 700 nm, what would the minimum angle of resolution now become? (1 nm = 10^-⁹m)

Question

Quizplus · Accepted Answer

The minimum angle of resolution is given by the formula θ = 1.22 * (λ/D), where λ is the wavelength and D is the diameter of the aperture. When the wavelength changes from 580 nm to 700 nm, the angle of resolution increases proportionally. Therefore, the new angle is (700/580) * 1.18 x 10^-4 rad, which is approximately 1.4 x 10^-4 rad.

A Microscope Has an Objective Lens with an Aperture of Diameter