A Microscope Has an Objective Lens with an Aperture of Diameter

Multiple Choice

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