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(B) According to the de Broglie hypothesis,the wavelength $\lambda$ of an electron moving with velocity $v$ is given by $\lambda = \frac{h}{mv}$,where

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The angular width of the central maximum will decrease.

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(B) According to the de Broglie hypothesis,the wavelength $\lambda$ of an electron moving with velocity $v$ is given by $\lambda = \frac{h}{mv}$,where $h$ is Planck's constant and $m$ is the mass of the electron.The angular width $\omega$ of the central maximum in a single-slit diffraction pattern is given by $\omega = \frac{2\lambda}{d}$,where $d$ is the width of the slit.Substituting the expression for $\lambda$,we get $\omega = \frac{2h}{mdv}$.From this relation,it is clear that $\omega \propto \frac{1}{v}$.Therefore,if the speed $v$ of the electrons is increased,the angular width $\omega$ of the central maximum will decrease.

$A$ parallel beam of fast-moving electrons is incident normally on a narrow slit. $A$ fluorescent screen is placed at a large distance from the slit. If the speed of the electrons is increased,which of the following statements is correct?

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