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:

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the accelerating voltage in the electron gun is decreased

the accelerating voltage is increased and the distance of the screen from the slits is decreased

the distance of the screen from the slits is increased

the distance between the slits is decreased

answer is B.

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Detailed Solution

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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