Two gratings A and B have slit separations dA and dB, respectively. They are use

Question

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 first-order maximum of A is exactly replaced by the second-order maximum
of B. Knowing that the ratio of dB/dA of the spacings between the slits of the gratings is 2:1, 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.

Explanation / Answer

we have i_A=lamda*L/dA i_B=lamda*L/dB a)i_A=i_B*2. so 2/dB=1/dA so dB/dA=2. b). it is 2nd order of A and 4 order of B.

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