Question Part Points Submissions Used An86.3kg student who has just studied matt

Question

Question Part Points Submissions Used An86.3kg student who has just studied matter waves is concerned that he may be diffracted as he walks through a doorway that is73cm across and 12 cm thick. (a) If the wavelength of the student must be about the same size as the doorway to exhibit diffraction, what is the fastest the student can walk through the doorway to exhibit diffraction?
m/s

(b) At this speed, how long would it take the student to walk through the doorway?
years
Question Part Points Submissions Used
Question Part Points Submissions Used An86.3kg student who has just studied matter waves is concerned that he may be diffracted as he walks through a doorway that is73cm across and 12 cm thick. (a) If the wavelength of the student must be about the same size as the doorway to exhibit diffraction, what is the fastest the student can walk through the doorway to exhibit diffraction?
m/s

(b) At this speed, how long would it take the student to walk through the doorway?
years (a) If the wavelength of the student must be about the same size as the doorway to exhibit diffraction, what is the fastest the student can walk through the doorway to exhibit diffraction?
m/s

(b) At this speed, how long would it take the student to walk through the doorway?
years Question Part Points Submissions Used

Explanation / Answer

The door doesn't have a wavelength. I think some of this question is missing. Edit: It doesn't say his wavelength is the same as the doorway's WAVELENGTH, it says his wavelength is the same as the DOORWAY. 62 cm, in other words. I don't see that the 12 cm makes a difference. It's talking about the doorway as a single slit, like you use for single slit diffraction of light. The width is what matters. The student's wavelength is his de Broglie wavelength, h/mv. The faster the speed v, the smaller the wavelength. Set this equal to 62 cm (expressed in meters), plug in the values of h and m and solve for v.

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