If {I_0} is the intensity of the principal ma | vedclass

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(D) In a single slit diffraction pattern,the intensity of the central maximum is proportional to the square of the slit width $(a^2)$.Let the initial

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$4{I_0}$

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(D) In a single slit diffraction pattern,the intensity of the central maximum is proportional to the square of the slit width $(a^2)$.Let the initial slit width be $a$ and the initial intensity be $I_0 \propto a^2$.When the slit width is doubled,the new width becomes $a' = 2a$.The new intensity $I'$ will be proportional to the square of the new width: $I' \propto (a')^2 = (2a)^2 = 4a^2$.Since $I_0 \propto a^2$,we have $I' = 4I_0$.Therefore,when the slit width is doubled,the intensity of the principal maximum becomes four times the original intensity.

If ${I_0}$ is the intensity of the principal maximum in the single slit diffraction pattern,then what will be its intensity when the slit width is doubled?

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