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In a realistic two‑slit experiment, you see two interference effects described in this chapter. There is the large‑scale interference pattern from diffraction that depends on the width of each slit, and within that pattern there is the small‑scale interference pattern that depends on the separation distance between the slits.
For a slit width of 0.040 mm and a slit separation of 0.50 mm,what is the number n1 of bright two‑slit interference fringes that fit inside the central bright fringe of the diffraction pattern (from the first dark fringe on one side of the center to the first dark fringe on the other side) if the laser has a wavelength of 700 nm?
n1 = ?
For the same slit width and slit separation, what is the number n2 of bright two‑slit interference fringes that fit inside the central bright fringe of the diffraction pattern if the laser has a wavelength of 490 nm?
n2 = ?
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- Monochromatic light of wavelength 530 nm passes through a horizontal single slit of width 1.5 m in an opaque plate. A screen of dimensions 2.0m2.0m is 1.2 m away from the slit. (a) Which way is the diffraction pattern spread out on the screen? (b) What are the angles of the minima with respect to the center? (c) What are the angles of the maxima? (d) How wide is the central bright fringe on the screen? (e) How wide is the next bright fringe on the screen?arrow_forwardConsider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?arrow_forward(a) What is the minimum angular spread of a 633-nm wavelength He-Ne laser beam that is originally 1.00 mm in diameter? (b) If this laser is aimed at a mountain cliff 15.0 km away, how big will the illuminated spot be? (c) How big a spot would be illuminated on the moon, neglecting atmospheric effects? (This might be done to hit a corner reflector to measure the round-trip time and, hence, distance.)arrow_forward
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- A Two slits are separated by distance d and each has width w. If d = 2w, how many bright fringes are within the central maximum of the diffraction pattern?arrow_forward(a) Sodium vapor light averaging 589 nm in wavelength falls on a single slit of width 7.50 m. At what angle does it produces its second minimum? (b) What is the highest-order minimum produced?arrow_forward(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 2.00 m. (b) What is the distance between these minima if the diffraction pattern falls on a screen 1.00 m from the slit? (c) Discuss the ease or difficulty of measuring such a distance.arrow_forward
- How far would you place a screen from the slit of the previous problem so that the second minimum is a distance of 2.5 mm from the center of the diffraction pattern?arrow_forwardAn intensity minimum is found for 450 nm light transmitted through a transparent film (n=1.20) in air. (a) What is minimum thickness of the film? (b) If this wavelength is the longest for which the intensity minimum occurs, what are the next three lower values of ? for which this happens?arrow_forwardCoherent light rays of wavelength strike a pair of slits separated by distance d at an angle 1, with respect to the normal to the plane containing the slits as shown in Figure P27.14. The rays leaving the slits make an angle 2 with respect to the normal, and an interference maximum is formed by those rays on a screen that is a great distance from the slits. Show that the angle 2 is given by 2=sin1(sin1md) where m is an integer.arrow_forward
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