Textbook 1.38

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manasa933
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Joined: Fri Sep 29, 2017 7:04 am

Textbook 1.38

Postby manasa933 » Thu Oct 19, 2017 5:34 pm

What is the wavelength of an electron when the distance it travels in 1 s is equal to its wavelength?

Abigail Yap 2K
Posts: 51
Joined: Fri Sep 29, 2017 7:07 am

Re: Textbook 1.38

Postby Abigail Yap 2K » Fri Oct 20, 2017 12:41 am

Hello!

For this problem, we use the de Broglie equation lambda = h/(mv). If the distance travelled in one second is equal to wavelength, this means that the velocity is equal to wavelength. We figure this out using the formula d = vt (distance = velocity x time):

d = vt = v(1 s) = lambda -> v = lambda

We can now replace v with lambda in the de Broglie equation: lambda = h/(m x lambda). Rearranging this equation and solving for lambda will leave us with lambda = rad(h/m). This is our answer: the wavelength is equal to rad(h/m).

I hope this helps!


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