EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 35, Problem 12P
(II) If you double the width of a single slit, the intensity of the light passing through the slit is doubled, (a) Show, however, that the intensity at the center of the screen increases by a factor of 4. (b) Explain why this does not violate conservation of energy.
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(c) A double slit experiment is performed with bluish green light of
wavelength 512nm. The slits are 1.2mm apart and the screen is 5.4 m from
the slits.
(1) Calculate the angular position (0) of the third-order bright fringe in
degrees.
(ii) Find the width of the bright fringes as seen on the screen.
(i) Two slits in Young's double slit
experiments have width in ratio 1 : 25.
Determine the ratio of intensity at the
maxima and minima in the interference
pattern.
(c)
Coherent light that contains two wavelengths, 660 nm (red) and 470 nm (blue), passes
through two narrow slits separated by 0.3 mm, and the interference pattern is observed
on a screen 5 m from the slits. Calculate the distance on the screen between the first-
order bright fringes for red and blue light.
Chapter 35 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 35 - Radio waves and light are both electromagnetic...Ch. 35 - Hold one hand close to your eye and focus on a...Ch. 35 - Explain why diffraction patterns are more...Ch. 35 - For diffraction by a single slit, what is the...Ch. 35 - Describe the single-slit diffraction pattern...Ch. 35 - What happens to the diffraction pattern of a...Ch. 35 - In the single-slit diffraction pattern, why does...Ch. 35 - Discuss the similarities, and differences, of...Ch. 35 - Figure 3510 shows a two-slit interference pattern...Ch. 35 - When both diffraction and interference are taken...
Ch. 35 - Does diffraction limit the resolution of images...Ch. 35 - Give at least two advantages for the use of large...Ch. 35 - Atoms have diameters of about 108 cm. Can visible...Ch. 35 - Which color of visible light would give the best...Ch. 35 - Could a diffraction grating just as well be called...Ch. 35 - Suppose light consisting of wavelengths between...Ch. 35 - What is the difference in the interference...Ch. 35 - White light strikes (a) a diffraction grating and...Ch. 35 - (I) If 680-nm light falls on a slit 0.0365 mm...Ch. 35 - (II) (a) For a given wavelength , what is the...Ch. 35 - (II) If you double the width of a single slit, the...Ch. 35 - (II) If a double-slit pattern contains exactly...Ch. 35 - (II) Design a double-slit apparatus so that the...Ch. 35 - (II) Suppose d = D in a double-slit apparatus, so...Ch. 35 - (II) In a double-slit experiment, let d = 5.00D =...Ch. 35 - (I) What is the angular resolution limit (degrees)...Ch. 35 - (II) The nearest neighboring star to the Sun is...Ch. 35 - (II) The normal lens on a 35-mm camera has a focal...Ch. 35 - (I) A source produces first-order lines when...Ch. 35 - (II) A tungstenhalogen bulb emits a continuous...Ch. 35 - (II) Show that the second- and third-order spectra...Ch. 35 - (II) Suppose the angles measured in Problem 40...Ch. 35 - (II) Missing orders occur for a diffraction...Ch. 35 - The Hubble Space Telescope with an objective...
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Show that if you have three polarizing filters, with the second at an angle of 45.0to the first and at third at an angle of 90.0to the first, the intensity of light passed by the first will be reduced to 25.0% of its value. (This is in contrast to having only the first and third, which reduces the intensity to zero, so that placing the second between them increases the intensity of the transmitted light.)arrow_forwardCheck Your Understanding Although m, the number of fringes observed, is an integer, which is often regarded as having zero uncertainty, in practical terms, it is all too easy to lose track when counting fringes. In Example 3.6, if you estimate that you might have missed as many as five fringes when you reported m=122 fringes, (a) is the value for the index of refraction worked out in Example 3.6 too large or too small? (b) By how much?arrow_forwardCheck Your Understanding Although we did no specify the direction in Example 1.7, let’s say the polarizing filter was rotated clockwise by 71.6° to reduce the light intensity by 90.0%. What would be the intensity reduction if the polarizing filter were rotated counterclockwise by 71.6°’arrow_forward
- In a thermally stabilized lab, a Michelson interferometer is used to monitor the temperature to ensure it stays constant. The movable mirror is mounted on the end of a 1.00-m-long aluminum rod, held fixed at the other end. The light source is a He Ne laser, =632.8 nm . The resolution of this apparatus corresponds to the temperature difference when a change of just one fringe is observed. What is this temperature difference?arrow_forwardCheck Your Understanding In the system used in the preceding examples, at what angles are the first and the second bright fringes formed?arrow_forwardWhat image will one see if a hologram is recorded using monochromatic light but its image is viewed in white light? Explain.arrow_forward
- A monochromatic light of unknown wavelength is incident on a slit of width 20 m. A diffraction pattern is seen at a screen 2.5 m away where the central maximum is spread over a distance of 10.0 cm. Find the wavelength.arrow_forwardCalculate the wavelength of light that produces its first minimum at an angle of 36.9° when falling on a single slit of width 1.00 m.arrow_forwardSuppose you are looking down at a highway from a jetliner flying at an altitude of 6.0 km. How far apart must two cars be if you are able to distinguish them? Assume that =550 nm and that the diameter of your pupils is 4.0 mm.arrow_forward
- (i) State the importance of coherent sources in the phenomenon of interference. (ii) In Young’s double slit experiment to produce interference pattern, obtain the conditions for constructive and destructive interference. Hence deduce the expression for the fringe width. (iii) How does the fringe width get affected, if the entire experimental apparatus of Young is immersed in water?arrow_forward(i) In Young’s double slit experiment, deduce the condition for (a) constructive,’ and (b) destructive interference at a point on the screen. Draw a graph showing variation of intensity in the interference pattern against position ‘x’ on the screen. (ii) Compare the interference pattern observed in Young’s double slit experiment with single slit diffraction pattern, pointing out three distinguishing features.arrow_forward(II) Two narrow slits separated by 1.0 mm are illuminatedby 544-nm light. Find the distance between adjacent brightfringes on a screen 4.0 m from the slitsarrow_forward
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