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A circular converging lens, with diameter d = 32 mm and focal length f = 24 cm, forms images of distant point objects in the focal plane of the lens. The wavelength is lambda = 550 nm. What is the separation Ar of the centers of the images in the focal plane? (That is, what is the separation of the central peaks in the two intensity-versus-position curves?) |
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Answer» Solution :Calculations: From either triangle between the lensand the screen, we SEE that `tan theta_(i) // 2 = Delta x // 2f`. Rearranging this equation and making the APPROXIMATION `tan THETA ~~ theta`, we find `Delta x =f theta,""(35-65)` where `theta_(i)` is in radian measure. We then find `Delta x =(0.24 m)(2.1 xx 10^(-5) RAD) = 5.0 mu m`. (Answer) |
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