In a single-slit diffraction experiment, the width of the slit is made double the original width. How does this affect the size and intensity of the central diffraction band?
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In single slit diffraction experiment fringe width is
β = 2λD/d
If d is doubled, the width of central maxima is halved. Thus size of central maxima is reduced to half. Intensity of diffraction pattern varies square of slit width. So, when the slit gets double, it makes the intensity four times.
Thus electron has greater de Broglie wavelength, if accelerated with same speed.