Question: The full width at half-maximum (FWHM) of a central diffraction maximum is defined as the angle between the two points in the pattern where the

 The full width at half-maximum (FWHM) of a central diffraction maximum

The full width at half-maximum (FWHM) of a central diffraction maximum is defined as the angle between the two points in the pattern where the intensity is one-half that at the center of the pattern. (See figure (b).) (a) Does the intensity drop to one-half the maximum value when sin a = a-/2? (b) Is a = 1.39 rad (about 80") a solution to the transcendental equation of (a)? (c) Is the FWHM A0 = 2sin"(0.442 //a), where a is the slit width? Calculate the FWHM of the central maximum for slit width (d) 1.31), (e) 5.95 1, and (f) 11.0 A. 20 15 10 5 10 15 20 1.0 20 15 105 10 15 pidegres (al yes (b) Ves (c) yes (d) Number i Units VI (e) Number Units V (f) Number i Units

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