Priya wears +1.5 D glasses to achieve normal vision from 25 cm onwards. She employs a 20 D lens as a simple microscope to view an object. Determine the maximum magnifying power if she uses the microscope without her glasses.

Step-by-step solution

Let the near point of Priya's eye without glasses be D' . Using the lens formula for her glasses to achieve normal vision from 25 cm ( u = -0.25 m ): P = 1 v - 1 u 1.5 = 1 -D' - 1 -0.25 1.5 = - 1 D' + 4 1 D' = 4 - 1.5 = 2.5 m ⁻¹ D' = 1 2.5 m = 0.4 m = 40 cm The focal length of the simple microscope lens is: f = 1 P_ m = 1 20 m = 5 cm The maximum magnifying power of a simple microscope is obtained when the final image is formed at the near point of the observer. Since Priya uses the microscope without her glasses, h