Physics

Physics

Problem

1991B6. Light consisting of two wavelengths, λa=4.4×10−7\lambda_{\mathrm{a}}=4.4 \times 10^{-7} meter and λb=5.5×10−7\lambda_{\mathrm{b}}=5.5 \times 10^{-7} meter, is incident normally on a barrier with two slits separated by a distance d . The intensity distribution is measured along a plane that is a distance L=0.85\mathrm{L}=0.85 meter from the slits as shown above. The movable detector contains a photoelectric cell whose position y is measured from the central maximum. The first-order maximum for the longer wavelength λb\lambda_{\mathrm{b}} occurs at y=1.2×10−2\mathrm{y}=1.2 \times 10^{-2} meter. a. Determine the slit separation d. b. At what position Ya\mathrm{Y}_{\mathrm{a}} does the first-order maximum occur for the shorter wavelength λa\lambda_{\mathrm{a}} ? In a different experiment, light containing many wavelengths is incident on the slits. It is found that the photosensitive surface in the detector is insensitive to light with wavelengths longer than 6.0×10−7 m6.0 \times 10^{-7} \mathrm{~m}. c. Determine the work function of the photosensitive surface. d. Determine the maximum kinetic energy of electrons ejected from the photosensitive surface when exposed. to light of wavelength λ=4.4×10−7 m\lambda=4.4 \times 10^{-7} \mathrm{~m}. ![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/08b42df69bb5/2025_11_20_331fe60630307d17e12eg-10.jpg)

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