Q. 17

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.

Answer :

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,






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