Two gratings A and B have slit separations dA and dB,

Chapter , Problem 53

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Two gratings A and B have slit separations dA and dB, respectively. They are used with the same light and the same observation screen. When grating A is replaced with grating B, it is observed that the fi rst-order maximum of A is exactly replaced by the second-order maximum of B. (a) Determine the ratio dB/dA of the spacings between the slits of the gratings. (b) Find the next two principal maxima of grating A and the principal maxima of B that exactly replace them when the gratings are switched. Identify these maxima by their order numbers.

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