Question

A beam of small (non-relativistic) particles is shot through a diffraction grating to form an interference pattern on a screen. Which of the following changes to the system will approximately double the separation between neighboring bands in the interference patterns. Assume only one change at a time is applied, and that the small-angle approximation is valid. I. Increase the velocity of the particles by a factor of 2 II. Increase the mass of the particles by a factor of 2 III. Decrease the velocity of the particles to 1/2 its prior value. IV. Decrease the mass of the particles to 1/2 its prior value A. (I) and (II) only B. (III) and (IV) only C. (I) and (IV) only D. (II) and (III) only E. None of the suggested options would double the separation between bands.

          A beam of small (non-relativistic) particles is shot through a diffraction grating to form an interference pattern on a screen. Which of the following changes to the system will approximately double the separation between neighboring bands in the interference patterns.
Assume only one change at a time is applied, and that the small-angle approximation is valid.
I. Increase the velocity of the particles by a factor of 2 II. Increase the mass of the particles by a factor of 2
III. Decrease the velocity of the particles to 1/2 its prior value.
IV. Decrease the mass of the particles to 1/2 its prior value
A. (I) and (II) only
B. (III) and (IV) only
C. (I) and (IV) only
D. (II) and (III) only
E. None of the suggested options would double the separation between bands.

Added by Esperanza J.

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