The wavenumber, k = 2π/λ
Wavelength, λ = v/f
The de Broglie relation λ=h/p can be rewritten in terms of the wave number k as p=kℏ. Recall that wave number is defined by k=2π/λ.
(a) Using the fact that λ=v/f, find the wave numbers k1 and k2 corresponding to frequencies f1 and f2. Express your answer as two expressions separated by a comma. Use f1, f2, v, and π.
(b) Find an expression for the uncertainty Δk=k1−k2 in the wave number. Use your results from Part (a). Express your answer in terms of quantities given in Part (a).
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the De Broglie Wavelength concept. You can view video lessons to learn De Broglie Wavelength. Or if you need more De Broglie Wavelength practice, you can also practice De Broglie Wavelength practice problems.