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Suppose that the highest order fringe that can be observed is the eighth in a double-slit experiment where 550-nm wavelength light is used. What is the minimum separation of the slits?
The interference pattern of a He-Ne laser light $(\lambda =632.9\phantom{\rule{0.2em}{0ex}}\text{nm})$ passing through two slits 0.031 mm apart is projected on a screen 10.0 m away. Determine the distance between the adjacent bright fringes.
0.20 m
Young’s double-slit experiment is performed immersed in water ( $n=1.333$ ). The light source is a He-Ne laser, $\lambda =632.9\phantom{\rule{0.2em}{0ex}}\text{nm}$ in vacuum. (a) What is the wavelength of this light in water? (b) What is the angle for the third order maximum for two slits separated by 0.100 mm.
A double-slit experiment is to be set up so that the bright fringes appear 1.27 cm apart on a screen 2.13 m away from the two slits. The light source was wavelength 500 nm. What should be the separation between the two slits?
0.0839 mm
An effect analogous to two-slit interference can occur with sound waves, instead of light. In an open field, two speakers placed 1.30 m apart are powered by a single-function generator producing sine waves at 1200-Hz frequency. A student walks along a line 12.5 m away and parallel to the line between the speakers. She hears an alternating pattern of loud and quiet, due to constructive and destructive interference. What is (a) the wavelength of this sound and (b) the distance between the central maximum and the first maximum (loud) position along this line?
A hydrogen gas discharge lamp emits visible light at four wavelengths, $\lambda =$ 410, 434, 486, and 656 nm. (a) If light from this lamp falls on a N slits separated by 0.025 mm, how far from the central maximum are the third maxima when viewed on a screen 2.0 m from the slits? (b) By what distance are the second and third maxima separated for $l=486\phantom{\rule{0.2em}{0ex}}\text{nm}$ ?
a. 9.8, 10.4, 11.7, and 15.7 cm; b. 3.9 cm
Monochromatic light of frequency $5.5\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}{10}^{14}\phantom{\rule{0.2em}{0ex}}\text{Hz}$ falls on 10 slits separated by 0.020 mm. What is the separation between the first and third maxima on a screen that is 2.0 m from the slits?
Eight slits equally separated by 0.149 mm is uniformly illuminated by a monochromatic light at $\lambda =523\phantom{\rule{0.2em}{0ex}}\text{nm}$ . What is the width of the central principal maximum on a screen 2.35 m away?
$0.0575\text{\xb0}$
Eight slits equally separated by 0.149 mm is uniformly illuminated by a monochromatic light at $\lambda =523\phantom{\rule{0.2em}{0ex}}\text{nm}$ . What is the intensity of a secondary maxima compared to that of the principal maxima?
A transparent film of thickness 250 nm and index of refraction of 1.40 is surrounded by air. What wavelength in a beam of white light at near-normal incidence to the film undergoes destructive interference when reflected?
700 nm
An 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 $\lambda $ for which this happens?
A thin film with $n=1.32$ is surrounded by air. What is the minimum thickness of this film such that the reflection of normally incident light with $\lambda =500\phantom{\rule{0.2em}{0ex}}\text{nm}$ is minimized?
189 nm
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