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A parallel beam of fast moving electrons is incident normally on a narrow slit. A screen is placed at a large distance from the slit. If the speed of the electrons is increased, which of the following statement is correct?
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The correct answer is:
the angular width of the central maximum will decrease
Fast moving electrons create electromagnetic waves. So, the diffraction pattern will be observed. Also, the angular width of the central maximum is given by
$\mathrm{W}=\frac{2 \lambda}{\mathrm{a}}$, where $\mathrm{a}=$ width of the slit
$\lambda=$ wavelength of the light .
When the speed of electrons will increase, the frequency will increase which will result in decreasing the wavelength as the speed of light is a constant. Therefore, the angular width will decrease.
$\mathrm{W}=\frac{2 \lambda}{\mathrm{a}}$, where $\mathrm{a}=$ width of the slit
$\lambda=$ wavelength of the light .
When the speed of electrons will increase, the frequency will increase which will result in decreasing the wavelength as the speed of light is a constant. Therefore, the angular width will decrease.
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