The reason the given situation of diffraction of a student is impossible.

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Why is the following situation impossible? After learning about de Broglie’s hypothesis that material particles of momentum p move as waves with wavelength λ = h/p, an 80-kg student has grown concerned about being diffracted when passing through a doorway of width w = 75 cm. Assume significant diffraction occurs when the width of the diffraction aperture is less than ten times the wavelength of the wave being diffracted. Together with his classmates, the student performs precision experiments and finds that he does indeed experience measurable diffraction.

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Chapter 39, Problem 31P

To determine

The reason the given situation of diffraction of a student is impossible.

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Why is the following situation impossible? After learning about de Broglie’s hypothesis that material particles of momentum p move as waves with wavelength λ = h/p, an 80-kg student has grown concerned about being diffracted when passing through a doorway of width w = 75 cm. Assume significant diffraction occurs when the width of the diffraction aperture is less than ten times the wavelength of the wave being diffracted. Together with his classmates, the student performs precision experiments and finds that he does indeed experience measurable diffraction.

After learning about de Broglie's hypothesis that material particles of momentum p move as waves with wavelength = h/p, an 80.0-kg student has grown concerned about being diffracted when passing through a 75.0-cmwide doorway. Assume significant diffraction occurs when the width of the diffraction aperture is less that 10.0 times the wavelength of the wave being diffracted. (a) Determine the maximum speed at which the student can pass through the doorway if he is to be significantly diffracted. (b) With that speed, over what time interval does the student pass through the doorway if it is in a wall 15.0 cm thick? State how your answer compares with the age of the Universe, which is about 4 x 10¹7 s.

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