Achieve HW #15


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Natalie Vu 1I
Posts: 132
Joined: Fri Sep 24, 2021 6:02 am

Achieve HW #15

Postby Natalie Vu 1I » Fri Oct 15, 2021 5:21 pm

You use an electron microscope in which the matter wave associated with the electron beam has a wavelength of 0.0363 nm. What is the kinetic energy of an electron in the beam, expressed in electron volts?

These are my steps:

v = h/m*wavelength
v= 6.62608*10^-34/(9.11*10^-31)(0.0363*10^-9)
v = 20036952.7

Ke = 1/2(m)(v^2)
Ke = 1/2(9.11*10^-31)(20036952.7)^2
Ke = 1.829 * 10^-16

Then finally, 1.829*10^-16/1.602*10^-19

And I get 1.142 * 10^-35 Ev

Can someone point out where I went wrong in the process?

Joellen 1B
Posts: 104
Joined: Fri Sep 24, 2021 6:24 am

Re: Achieve HW #15

Postby Joellen 1B » Fri Oct 15, 2021 7:56 pm

Where did you get the equation v = h/m*wavelength?

Joellen 1B
Posts: 104
Joined: Fri Sep 24, 2021 6:24 am

Re: Achieve HW #15

Postby Joellen 1B » Fri Oct 15, 2021 8:17 pm

Also, I think you went wrong on the last part when converting it from J to eV. When I plugged in (1.83x10^-16)/(1.602x10^-19) I got 1.14x10^3

Probably just a calculator error


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