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Question: In a Young’s double slit experiment an electron beam is used to obtain interference pattern. If the ...

In a Young’s double slit experiment an electron beam is used to obtain interference pattern. If the speed of electron deceases then:

A

Distance between two consecutive fringes remains the same

B

Distance between two consecutive fringes decreases

C

Distance between two consecutive fringes increases

D

None of these

Answer

Distance between two consecutive fringes increases

Explanation

Solution

: Fringe width , β=λDd\beta = \frac{\lambda D}{d}

Also, λ=hmv\lambda = \frac{h}{mv}

Here h is Planck’s constant. This wavelength is inversely proportional to the velocity. Hence , the fringe width increases with decreases in electron speed