37. Slits of unequal widths are used in a double-slit arrangement to produce an interference pattern on a distant screen. If only the narrower slit S₁ is illuminated with monochromatic light of wavelength λ, the center of the pattern on the screen has amplitude E₀ and intensity I₀. If only the wider slit S₂ is illuminated, the amplitude of the light at the center of the pattern is 2E₀. In the figure on the right, d ＜＜ D. The widths of the slits are much less than λ such that it is no need to consider the single-slit diffraction envelope. When both slits are illuminated, the normalized intensity pattern I(θ)/I₀ as a function of θ on a far away screen is:

(A) (5 + 4cos(2πd sinθ/λ))
(B) (4 + 5cos(2πd sinθ/λ))
(C) (3 + 2cos(2πd sinθ/λ))
(D) (2 + 3cos(2πd sinθ/λ))
(E) none of the above.