Chapter 36, Problem 055 A source containing a mixture of hydrogen and deuterium atoms emits light at two wavelengths whose mean is 542 nm and whose separation is 0.203 nm. Find the minimum number of lines needed in a diffraction grating that can resolve these lines in the first order. Number Units
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- answer for the second twoThe following problem must be solved taking into consideration the modification given below: A student holds a laser that emits light of wavelength 545 nm. The laser beam passes though a pair of slits separated by 0.500 mm, in a glass plate attached to the front of the laser. The beam then falls perpendicularly on a screen, creating an interference pattern on it. The student begins to walk directly toward the screen at 2.00 m/s. The central maximum on the screen is stationary. Find the speed at which the 5th-order maxima changes its position on the screen. Do not use small angle approximation. Modification: Suppose there is a liquid in the space between the slits and the screen. Give such liquid any refractive index you desire (numerical value). Also suppose that the screen has a finite lenght (give another numerical value). Besides calculating the speed at which the 5th-order maxima changes its position on the screen also calculate the initial value of bright fringes according to the…2. White light is incident from air onto an equiangular triangle prism at a 40.0° angle with respect to the normal. The prism is composed of crystal that has an index of refraction of 1.40 for red light and 1.45 for violet light. Take nair = 1.00 for all wavelengths. a. What is the angular separation of the red and violet ends of the spectrum within the prism?
- 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 cmPlease help!The limit to the eye's acuity is actually related to diffraction by the pupil. What is the angle between two just‑resolvable points of light for a 6.25 mm diameter pupil, assuming the average wavelength of 539 nm? angle between two points of light: ° Take the result to be the practical limit for the eye. What is the greatest possible distance a car can be from a person if he or she can resolve its two headlights, given they are 1.20 m apart? greatest distance at which headlights can be distinguished: m What is the distance between two just‑resolvable points held at an arm's length (0.750 m) from a person's eye? distance between two points 0.750 m from a person's eye:
- please answer both pleaseTwo sheets of ideal polarizing material are placed with their transmission axes at 60.0 to each other. A third polarizing sheet is placed between them with its transmission axis at 30.0° to the axes of the other two. What is the fraction of the incident light intensity that is transmitted, when the middle sheet is removed? ___I0A sodium light, having wavelength 589.3 nm, is used to view a soap film to make it look black when directed perpendicular to the film. What is the minimum thickness of the soap film if the index of refraction of soap solution is 1.38?