A microscope has an objective lens with an aperture of diameter 0.50 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 1.13 × 10−⁴ rad.If the illuminating source were replaced by an violet source of wavelength 420 nm,what would the minimum angle of resolution now become? (1 nm = 10−⁹ m) A) 1.6 × 10−⁴ rad B) 0.98 × 10−⁴ rad C) 0.81 × 10−⁴ rad D) 0.49 × 10−⁴ rad E) 1.13 × 10−⁴ rad

Question

Quizplus · Accepted Answer

The minimum angle of resolution is given by:$$	heta = 1.22 \frac{\lambda}{D}$$where $\lambda$ is the wavelength of light and D is the diameter of the objective lens. If the wavelength of light is decreased, the minimum angle of resolution will increase. Therefore, the correct answer is C.

A Microscope Has an Objective Lens with an Aperture of Diameter