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Wave Optics

Question
CBSEENPH12038433

In the diffraction at a single slit experiment, how would the width and the intensity of central maximum change if (i) slit width is halved (ii) visible light of longer wavelength is used?

Solution

In a single slit experiment, 

As, size of central max  λa
Therefore, 

i) When slit width is halved, size of the central maxima is doubled. Hence, intensity reduces to one-fourth of it's initial value. 

ii) When longer wavelength is used, size of central maximum is increased. Hence, intensity reduces.