(b) What is the angle of the third-order minimum? (a) If a single slit produces a first minimum at \(\displaystyle 14.5°\), at what angle is the second-order minimum? ![]() (b) What is its minimum width if it produces 50 minima?Ģ6. (a) What is the minimum width of a single slit (in multiples of \(\displaystyle λ\)) that will produce a first minimum for a wavelength \(\displaystyle λ\)? (c) Discuss the ease or difficulty of measuring such a distance.Ģ5. (b) What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit? (a) Find the angle between the first minima for the two sodium vapor lines, which have wavelengths of 589.1 and 589.6 nm, when they fall upon a single slit of width \(\displaystyle 2.00μm\). How far from the center of the pattern are the centers of the first and second dark fringes?Ģ4. Consider a single-slit diffraction pattern for \(\displaystyle λ=589nm\), projected on a screen that is 1.00 m from a slit of width 0.25 mm. (b) What is the highest-order minimum produced?Ģ3. At what angle does it produces its second minimum? (a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width \(\displaystyle 7.50μm\). Find the wavelength of light that has its third minimum at an angle of \(\displaystyle 48.6°\) when it falls on a single slit of width \(\displaystyle 3.00μm\).Ģ2. (b) Find the wavelength of light that has its first minimum at \(\displaystyle 62.0°\).Ģ1. (a) What is the width of a single slit that produces its first minimum at \(\displaystyle 60.0°\) for 600-nm light? (b) At what angle will the second minimum be?Ģ0. (a) How wide is a single slit that produces its first minimum for 633-nm light at an angle of \(\displaystyle 28.0°\)? (b) Where is the first minimum for 700-nm red light?ġ9. (a) Calculate the angle at which a \(\displaystyle 2.00-μm\)-wide slit produces its first minimum for 410-nm violet light. (a) At what angle is the first minimum for 550-nm light falling on a single slit of width \(\displaystyle 1.00μm\)?ġ8. Note: The small angle approximation was not used in the calculations above, but it may be sufficiently accurate for laboratory calculations.\)ġ7. Default values will be entered for unspecified parameters, but all values may be changed. The data will not be forced to be consistent until you click on a quantity to calculate. This calculation is designed to allow you to enter data and then click on the quantity you wish to calculate in the active formula above. ![]() ![]() This resolvance implies that the wavelength resolution is If N = slits are illuminated, then the resolvance R =. ![]() The resolvance of such a grating depends upon how many slits are actually covered by the incident light source i.e., if you can cover more slits, you get a higher resolution in the projected spectrum. The displacement from the centerline for maximum intensity will be Projected on a screen at distance D = cm, The slit separation is d = micrometers = x10^ m.įor incident light wavelength λ = nm at order m = , However, angular separation of the maxima is generally much greater because the slit spacing is so small for a diffraction grating.ĭisplacement y = (Order m x Wavelength x Distance D)/( slit separation d)įor a diffraction grating with lines/mm = lines/inch, The condition for maximum intensity is the same as that for a double slit. A diffraction grating is the tool of choice for separating the colors in incident light.
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