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When electrons are accelerated by 2450 V in an electron microscope, they will have
wavelengths of:
a) 8.113 nm
b) 0.622 nm
c) 0.811 nm​

Respuesta :

The wavelength of the electron microscope is 2.472*10⁻²⁰ m.

Calculation:

Provided, accelerating voltage = 2450 V

According to de Broglie's equation:

λ = h/p

where,λ = the wavelength of the particle that moves

P= momentum of moving particle

h= plank's constant = 6.63 x 10⁻³ Js

We know that,

P = √(2mk)

P = √(2mqV)

where P= momentum of moving particle

M= mass of the moving object

K= kinetic energy of the object

V= Electric potential of the object(accelerating voltage)

q= charge of the object(electron) = e=1.6 x 10⁻¹⁹C

∴λ = h/√(2meV) = [tex]\frac{6,63 *10^{-34} }{2*9.1*10^{-31}*1.6*10^{-19}*2450 }[/tex]

=2.472*10⁻²⁰ m

S0, the wavelength of an electron microscope is 2.472*10⁻²⁰ m. Think it matches option C.

Learn more about the wavelength here:

https://brainly.com/question/13533093

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