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Problem 42 Medium Difficulty

A tungsten target is struck by electrons that have been accelerated from rest through a 40.0 -kV potential difference. Find the shortest wavelength of the radiation emitted.

Answer

0.0311 $\mathrm{nm}$

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Top Physics 103 Educators
LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Farnaz M.

Other Schools

Zachary M.

Hope College

Video Transcript

in this exercise, we have electrons that are accelerated from rest. You're a potential of 40. Hello. Votes in these electrons Later spread. Tencent, target and radiation is emitted. And we want to know what is the shortest wave wing Lunda that can be emitted in the situation. Well, remember that the energy of a photon is given by HC over London. So if you're looking for the shortest wavelength, Linda, we're actually looking for the greatest energy E of the Fulton and the greatest energy produced. The greatest energy that can be produced is equal to the kinetic energy of the elections. Because this means that the total kinetic energy it was transformed into the energy of the fortunes. Ah, so and the kinetic energy of the elections is e times the potential V. So this is 40 kilo collecting votes. So we have that Lunda, the shortest wavelength is a C over. Okay, So H c is 1204 electoral votes and our meters and we divide this by 40 times 10 to the third electoral votes. And this is equal to zero point 0 31 None of meters, which is the same s 31 p. Commuters. Okay, this is the shortest wavelength that can be omitted.

Universidade de Sao Paulo
Top Physics 103 Educators
LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Farnaz M.

Other Schools

Zachary M.

Hope College