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Understanding Circular-Aperture Diffraction \[ 15 \text { of } 17 \] Consider light from a helium- ...
Understanding Circular-Aperture Diffraction \[ 15 \text { of } 17 \] Consider light from a helium-neon laser ( \( \lambda=632.8 \) nanometers) striking a pinhole with a diameter of \( 0.280 \mathrm{~mm} \). Part A At what angle \( \theta_{1} \) to the normal would the first dark ring be observed? Express your answer in degrees, to three significant figures. Part B Suppose that the light from the pinhole projects onto a screen \( 3.00 \) meters away. What is the radius \( r_{1} \) of the first dark ring on that screen? Notice that the angle from Part \( A \) is small enough that \( \sin \theta \approx \tan \theta \). Express your answer in millimeters, to three significant figures. Part C Complete previous part(s) Diffraction due to a circular aperture is important in astronomy. Since a telescope has a circular aperture of finite size, stars are not imaged as points, but rather as diffraction patterns. Two distinct points are said to be just resolved (i.e., have the smallest separation