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Questions  

Imagine a Young's double slit interference experiment performed with waves associated with fast moving electrons produced from an electron gun. The distance between successive maxima will decrease if:

 

a
the accelerating voltage in the electron gun is decreased
b
the accelerating voltage is increased and the distance of the screen from the slits is decreased
c
the distance of the screen from the slits is increased
d
the distance between the slits is decreased

detailed solution

Correct option is B

Fringe width β=DλdHere λ=de-Broglie wavelength of electron=hmv=h2mK=h2mqVHere V= potential differenceSo, β∝Dd β∝λ∝1VNow option can be checked for correct result.β(↓)⟶V(↑) D(↓) d↑   λ↓

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