θ1. The problem statement, all variables and given/known data Two gratings A and B have slits 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. 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. 2 2. Relevant equations dasin(θ) = m1λ dbsin(θ) = m2λ 3. The attempt at a solution I just divided the two equations and got db/da = m2/m1 = 2.