Answer :

Given:


Accelerating voltage, V = 50 KV


Energy of each electron is given by,


E = eV …(1)


Where,


e = Charge on electron = 1.6 × 10-19C


V = accelerating Voltage


Putting the values in equation (1)


E = 1.6 × 10-19C × 50 × 1000V


E = 8 × 10-15 J


De Broglie wave length is given by,



Where,


m = mass of electron


h = Planck’s constant = 6.6 × 10-19 Js


E = Energy


By putting the values in above equation we get,



λ = 5.4 × 10-12 m.


As compared to an optical telescope which uses yellow light, electron microscope has better resolving power (about 105 times better). As the resolving power is inversely proportional to the wavelength of light used.


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