Chapter 23. Dark fringes in diffraction through a slit (23-24)

Question

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{"title":"Angle between the normal to the slit and the location of the mth dark fringe","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"78,39,114,84\"}]"} {"title":"Number of the dark fringe: m = 1, 2, 3, ...","description":"Incorrect","type":"incorrect","color":"#008000","code":"[{\"shape\":\"rect\",\"coords\":\"182,19,232,53\"}]"} {"title":"Wavelength of the light in vacuum","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"232,3,267,53\"}]"} {"title":"Width of the slit","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"198,77,250,118\"}]"}

Question

ZP6dHsQjOl9hf13ncHj1thJwjSQoDTs07mry6JNXRIK+j1UTo4dcXxS6enGYoiTwEHxfnQ==
{"title":"Angle between the normal to the slit and the location of the mth dark fringe","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"78,39,114,84\"}]"} {"title":"Number of the dark fringe: m = 1, 2, 3, ...","description":"Correct!","type":"correct","color":"#008000","code":"[{\"shape\":\"rect\",\"coords\":\"182,19,232,53\"}]"} {"title":"Wavelength of the light in vacuum","description":"Incorrect","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"232,3,267,53\"}]"} {"title":"Width of the slit","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"198,77,250,118\"}]"}

Question

Yu1kI3nxS0l1G5MhK1z7LHDC21wJq8IO4FHJgzX2zhMQmdTR7DrEGg==
{"title":"Angle between the normal to the slit and the location of the mth dark fringe","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"78,39,114,84\"}]"} {"title":"Number of the dark fringe: m = 1, 2, 3, ...","description":"Wrong","type":"incorrect","color":"#008000","code":"[{\"shape\":\"rect\",\"coords\":\"182,19,232,53\"}]"} {"title":"Wavelength of the light in vacuum","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"232,3,267,53\"}]"} {"title":"Width of the slit","description":"Incorrect","type":"incorrect","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"198,77,250,118\"}]"}

Question

Hx7bqrJA1wswwlL2M1UkgN1gHeug5wZL
{"title":"Angle between the normal to the slit and the location of the mth dark fringe","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"10,16,12,16\"},{\"shape\":\"poly\",\"coords\":\"144,22\"},{\"shape\":\"rect\",\"coords\":\"78,39,114,84\"}]"} {"title":"Number of the dark fringe: m = 1, 2, 3, ...","description":"Wrong","type":"incorrect","color":"#008000","code":"[{\"shape\":\"rect\",\"coords\":\"182,19,232,53\"}]"} {"title":"Wavelength of the light in vacuum","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"232,3,267,53\"}]"} {"title":"Width of the slit","description":"Correct!","type":"correct","color":"#000080","code":"[{\"shape\":\"rect\",\"coords\":\"198,77,250,118\"}]"}

Review

In general, the angle of the \(m^{\mathrm{th}}\) dark fringe is given by

Equations 23-22 and 23-23 are special cases of Equation 23-24, with \(m = 1\) and \(m = 2\) respectively.