For the same objective, find the ratio of the least separation between two points to be distinguished by a microscope for light of and electrons accelerated through 100V used as the illuminating substance.
Given λ= = 5 ×10-7 m, V=100 V
We know,
Where dmin is the least separation, λ is the wavelength, n is the refractive index, β is the angle subtended.
Case 1:
Case 2:
De-Broglie wavelength of electron accelerated through Voltage is defined as
where h is the Planck’s constant, m is the mass of electron, e is the charge of electron and V is the Voltage
Substituting corresponding values we get,