In ydse single slit width of 0.20 mm is illuminated with light wavelength 500 NM. Observing a screen is placed 80 centimetre from the slit . The width of the central bright fringe will be
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They will change.
I am a student of class 12 yet to go to college, and so I can't provide you with a rigorous mathematical explanation. Still I would share with you the related concepts which, I believe, would suffice.
I would like to rise a question first: If interference is so grossly independent of the slit width, why don't science museums have ‘YDSE chambers’ in which fringe pattern is observed in an enough big room with two closely placed doors and a window outside to act as the first slit? A popular argument against this will be that the slit width should be comparable to the wavelength of light. Accepted. But why should the pattern be the same for all slit widths? The formula for interference fringes is a continuous and differentiable function, which merely tends to zero (or infinity, depending upon whose formula we are talking about) for extremely wide slits like doors.
A very basic concept that applies to all sizes of slits and waves is that the interference fringes are a superposition of the diffraction patterns due to the individual slits and the interference pattern at the limit of the width of the slits tending to zero. (NCERT Class 12 Physics: Wave Optics)
I am a student of class 12 yet to go to college, and so I can't provide you with a rigorous mathematical explanation. Still I would share with you the related concepts which, I believe, would suffice.
I would like to rise a question first: If interference is so grossly independent of the slit width, why don't science museums have ‘YDSE chambers’ in which fringe pattern is observed in an enough big room with two closely placed doors and a window outside to act as the first slit? A popular argument against this will be that the slit width should be comparable to the wavelength of light. Accepted. But why should the pattern be the same for all slit widths? The formula for interference fringes is a continuous and differentiable function, which merely tends to zero (or infinity, depending upon whose formula we are talking about) for extremely wide slits like doors.
A very basic concept that applies to all sizes of slits and waves is that the interference fringes are a superposition of the diffraction patterns due to the individual slits and the interference pattern at the limit of the width of the slits tending to zero. (NCERT Class 12 Physics: Wave Optics)
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