You shoot a beam of electrons through a double slit to make an interference patt

Question

You shoot a beam of electrons through a double slit to make an interference pattern. After noting the properties of the pattern, you then double the speed of the electrons. What effect would this have?

(a) The energy of the electrons will
decrease
increase


(b) The de Broglie wavelength of the electrons will
decrease
increase


(c) Considering the expression for double-slit interference, the fringes will
get closer together.
get farther apart.
remain at the same positions.

I know that b is decrease and that c is they get closer together. However I am still confused about problem a. Could you please tell me what they answer is and how it can be reached.

Explanation / Answer

increase decrease get closer together.

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