An instructor wishes to determine the wavelength of the light in a laser beam. To do so, she directs the beam toward a partition with two tiny slits separated by 0.195 mm. An interference pattern appears on a screen that lies 4.85 m from the slit pair. The instructor's measurements show that two adjacent bright interference fringes lie 1.57 cm apart on the screen. What is the laser's wavelength (in nm) ?

Two vectors have the following magnitude, A = 8.9 m and B = 7 m. Their vector product is:  A⨯B = -1.8 m i + 13.8 m k. What is the angle (in degrees) between the vectors A and B?

A laser light source with wavelength λ = 545 nm is incident on a diffraction grating (as in the figure). The grating has 495 slits per mm. An observation screen is a distance L = 0.35 m from the grating. What is the separation between individual slits in the grating? Be careful with units: 1 nm = 10-9 m, 1 mm = 10-3 m, and 1 cm = 10-2 m. d = nm What is the distance y along the screen where the first-order diffraction peak is observed? y= cm source grating m=1

** 38. Two plastic plates (index of refraction n = 1.3) are separated by an air gap of 0.9 µm. Analyze the reflections of light of wavelength 600 nm and conclude whether it will be brightly reflected or not. 0.9 um gap ** 39. The air gap in the previous problem is now filled with a mineral oil whose index of refraction is n = 1.5. Analyze the reflections of light of wavelength 600 nm and conclude if it will be brightly reflected or not.

An instructor directs monochromatic light toward a single slit in an opaque barrier. The light has a wavelength of 550 nm and the slit is 0.230 mm wide. The light that passes through the slit creates a diffraction pattern on a screen, which is 1.65 m from the slit. (a) How wide (in mm) is the central maximum (the central, bright fringe), as measured on the screen?  Single-slit diffraction is most readily described with a formula that gives the distance from the center of the pattern to the mth-order dark fringe. Consider the first dark fringe on either side of the central peak  (m = ±1).  How does its distance relate to the full width of the central maximum? Take care with units. mm (b) How wide (in mm) is either of the two first-order bright fringes, as measured on the screen?  Single-slit diffraction is most readily described with a formula that gives the distance from the center of the pattern to the mth-order dark fringe. Consider two adjacent fringes on one side of the…

You perform a double-slit experiment in order to measure the wavelength of the new laser that you received for your birthday. You set your slit spacing at 1.05 mm and place your screen 8.51 m from the slits. Then, you illuminate the slits with your new toy and find on the screen that the tenth bright fringe is 4.63 cm away from the central bright fringe (counted as the zeroth bright fringe). What is your laser's wavelength i expressed in nanometers? = nm

You measure three segments of the distance between a diffraction slit an the screen on which the pattern forms: x1 = (15.8 ± 0.2) cm, x2 = (6.7 ± 0.1) cm, and x3 = (11.3 ± 0.1). What is the uncertainty of the total distance x1 + x2 + x3? Group of answer choices 0.4 cm 0.5 cm 0.2 cm 0.3 cm 0.1 cm

The coherence length of an ordinary white light source can be increased if we place a color filter in front of the source, so that the light that passes through the filter is somewhat monochromatic. The minimum wavelength of the emerging light is 546 nm. What is the maximum wavelength in order for the coherence length to be 0.1110 mm?

You are asked to design a spectrometer such that, on a screen located a distance of 3.52 m from a diffraction grating, the m = 3 dark fringe for 550 nm light is located at a distance of 5.1 cm from the (m = 0) center of the screen. How many lines per centimeter should your diffraction grating have?