Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337671729
Author: SERWAY
Publisher: Cengage
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Chapter 36, Problem 50CP
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To show: The equation of 36.9 in the text is replaced by,
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A beam of monochromatic light with
a wavelength of 500 nm is directed
through an absorber having 5 equally
narrow slits separated by 20 um
between adjacent slits. The resulting
diffraction pattern is observed on a
screen that is perpendicular to the
direction of light and 5 m from the
slits. The intensity of the central
maximum is 1.3 W/m2. Calculate
the distances from the central
maximum to the first and second
principal maxima
respectively.
on the
screen
A. 8 cm and 25 cm
B. 8 cm and 12 cm
C. 12.5 cm and 25 cm
D. 25 cm and 9.2 cm
E. 9.2 cm and 23 cm
For this problem, I know the answer is E but I do not know how to get there. Seeing the steps and equations would be much appreciated. Thank you
Not sure how to approach this problem; could I just find the herze of the moving wave and use that to perform a young's double slit calcuation to start with?
Chapter 36 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 36.2 - Which of the following causes the fringes in a...Ch. 36.3 - Using Figure 36.6 as a model, sketch the...Ch. 36.5 - One microscope slide is placed on top of another...Ch. 36 - Two slits are separated by 0.320 mm. A beam of...Ch. 36 - Prob. 2PCh. 36 - A laser beam is incident on two slits with a...Ch. 36 - Prob. 4PCh. 36 - Prob. 5PCh. 36 - Light with wavelength 442 nm passes through a...Ch. 36 - Prob. 7P
Ch. 36 - A student holds a laser that emits light of...Ch. 36 - Coherent light rays of wavelength strike a pair...Ch. 36 - In Figure P36.10 (not to scale), let L = 1.20 m...Ch. 36 - Prob. 11PCh. 36 - Prob. 12PCh. 36 - In the double-slit arrangement of Figure P36.13, d...Ch. 36 - Monochromatic light of wavelength is incident on...Ch. 36 - Prob. 15PCh. 36 - Show that the distribution of intensity in a...Ch. 36 - Prob. 17PCh. 36 - Monochromatic coherent light of amplitude E0 and...Ch. 36 - Prob. 19PCh. 36 - Prob. 20PCh. 36 - Prob. 21PCh. 36 - Prob. 22PCh. 36 - When a liquid is introduced into the air space...Ch. 36 - Prob. 24PCh. 36 - Prob. 25PCh. 36 - Prob. 26PCh. 36 - Prob. 27PCh. 36 - Prob. 28APCh. 36 - Prob. 29APCh. 36 - Prob. 30APCh. 36 - Prob. 31APCh. 36 - Prob. 32APCh. 36 - In a Youngs double-slit experiment using light of...Ch. 36 - Prob. 34APCh. 36 - Figure P36.35 shows a radio-wave transmitter and a...Ch. 36 - Prob. 36APCh. 36 - In a Newtons-rings experiment, a plano-convex...Ch. 36 - Prob. 38APCh. 36 - A plano-concave lens having index of refraction...Ch. 36 - Prob. 40APCh. 36 - Interference fringes are produced using Lloyds...Ch. 36 - A plano-convex lens has index of refraction n. The...Ch. 36 - Prob. 43APCh. 36 - Prob. 44APCh. 36 - Prob. 45APCh. 36 - Prob. 46CPCh. 36 - Prob. 47CPCh. 36 - Prob. 48CPCh. 36 - Prob. 49CPCh. 36 - Prob. 50CP
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- In experiments with his interferometer, Michelson found that the red cadmium line at λ=643.8nm produced fringes until one of the arms of the interferometer was moved 25cm from initially being at the coincidence or equal path length position. a. How many fringes moved through the field of view? b. What is the approximate coherence time of the light?arrow_forwardIn a double-slit interference experiment, d is the distance between the centers of the slits and w is the width of each slit, as shown in the figure above. For incident plane waves, if an interference maximum on a distant screen will fall at a diffractive minimum, which of the following relations between d and w is correct? @ 3d=2w @ 2d=3w. @d=3¹/2w. @d=2¹/2w @ 2d=w.arrow_forwardConsider a variety of colors of visible light (say 400 nm to 700 nm) falling onto a pair of slits. a) What is the smallest separation (in nanometers) between two slits that will produce a second-order maximum for some visible light? b) What is the smallest separation (in nanometers) between two slits that will produce a second-order maximum for all visible light?arrow_forward
- Figure 1 shows the viewing screen in a double-slit experiment with monochromatic light. Fringe C is the central maximum. The fringe separation is Δy Suppose the wavelength of the light is 430 nm . How much farther is it from the dot on the screen in the center of fringe E to the left slit than it is from the dot to the right slit?arrow_forwardI already know the answer to this practice problem, and it is shown is the image. I do not know how to get to the answer though, so seeing the steps and equations would be much appreciated.arrow_forwardFor this problem, I know the answer is B but I do not know how to get there. Seeing the steps and equations would be much appreciated. Thank youarrow_forward
- The light intensity vs. position graph of a double-slit experiment is shown below. The graph was made with helium-neon laser light of wavelength 630 nm shined through two very narrow slits separated by a small distance. The slits were 2.0 meters away from the probe. What is the path-length difference (from the two slits to the screen) when the probe is at position 9.0 mm, in nm? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. Lasilian Position of probe (mm) Light levelarrow_forwardIn a Young's double-slit experiment, a set of parallel slits with a separation of 0.130 mm is illuminated by light having a wavelength of 550 nm and the interference pattern observed on a screen 3.50 m from the slits. (a) What is the difference in path lengths from the two slits to the location of a fifth order bright fringe on the screen? 1.1 Your response differs from the correct answer by more than 10%. Double check your calculations. um (b) What is the difference in path lengths from the two slits to the location of the fifth dark fringe on the screen, away from the center of the pattern? X umarrow_forwardThe ship in the figure below travels along a straight line parallel to the shore and a distance d = 710 m from it. The ship's radio receives simultaneous signals of the same frequency from antennas A and B, separated by a distance L = 750 m. The signals interfere constructively at point C, which is equidistant from A and B. The signal goes through the first minimum at point D, which is directly outward from the shore from point B. Determine the wavelength of the radio waves.arrow_forward
- Please help me with this question.arrow_forwardX rays of wavelength 0.0820 nm are scattered from the atoms of a crystal. The second-order maximum in the Bragg reflection occurs when the angle is 20.5°. (Figure 1) For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of X-ray diffraction. Part A What is the spacing between adjacent atomic planes in the crystal? Express your answer in nanometers. ΓΙ ΑΣΦ d = Submit Previous Answers Request Answer ? nmarrow_forwardQ. A grating having 5000 lines per cm is used under normal incidence of light. What will happen to the observed spectrum if 90% of the ruled width of the grating is covered? Please solve this, urgently. Thankyou!!!arrow_forward
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