In an experiment,electrons are passed through | vedclass

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(A) When electrons pass through a narrow slit of width $d$ equal to their de Broglie wavelength $\lambda$ $(d = \lambda)$,they undergo diffraction. Ac

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(A) When electrons pass through a narrow slit of width $d$ equal to their de Broglie wavelength $\lambda$ $(d = \lambda)$,they undergo diffraction. According to the single-slit diffraction formula,the intensity distribution $I$ on the screen is given by $I = I_0 \left( \frac{\sin \beta}{\beta} ight)^2$,where $\beta = \frac{\pi d \sin 	heta}{\lambda}$. Since $d = \lambda$,the first minimum occurs at $\sin 	heta = \frac{\lambda}{d} = 1$,which means $	heta = 90^\circ$. This results in a very broad central maximum that spreads across the entire screen,as the first minima are at the edges of the visible range. Among the given options,the graph that represents the diffraction pattern of a single slit is the one showing a central peak with side lobes. Option $A$ and $D$ are identical in the provided images,representing the standard diffraction pattern.

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