You use an electron microscope in which the matter wave associated with the electron beam has a wavelength of 0.0173 nm. What is the kinetic energy of an electron in the beam, expressed in electron volts?

The kinetic energy of an electron in the beam is 5.04 keV.

Explanation:

We need to find the velocity of the electron by using the De Broglie wavelength:

Where:

λ: is the wavelength = 0.0173 nm

v: is the velocity

m: is the electron's mass = 9.1x10⁻³¹ kg

h: is the Planck constant = 6.62x10⁻³⁴ J.s

Now, we can find the kinetic energy:

Therefore, the kinetic energy of an electron in the beam is 5.04 keV.

I hope it helps you!

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