COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 23, Problem 15QAP
To determine
The reason for incident light striking one slit have the same wavelength and phase in two slit interference.
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Coherent electromagnetic waves with wavelength λ = 500 nm pass through two identical slits. The width of each slit is a, and the distance between the centers of the slits is d = 9.00 mm. (a) What is the smallest possible width a of the slits if the m = 3 maximum in the interference pattern is not present? (b) What is the next larger value of the slit width for which the m = 3 maximum is absent?
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Chapter 23 Solutions
COLLEGE PHYSICS
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- Consider a single-slit diffraction pattern for =589 nm, projected on a screen that is 1.00 m from a slit of width 0.25 mm. How far from the center of the pattern are the centers of the first and second dark fringes?arrow_forwardIf the planes of a crystal are 3.50 Å (1 Å = 10-10 m = 1 Ångstrom unit) apart, (a) what wavelength of electromagnetic waves is needed so that the first strong interference maximum in the Bragg reflection occurs when the waves strike the planes at an angle of 22.0°, and in what part of the electromagnetic spectrum do these waves lie? (See Fig). (b) At what other angles will strong interference maxima occur?arrow_forwardIn a certain crystal the spacing between crystal planes is 0.165 nm. (a) If you shine a beam of x rays of wavelength 0.124 nm on this crystal, for what angle between the beam and the crystal planes does the first strong interference maximum occur? (b) For what larger angles (if any) do strong interference maxima occur?arrow_forward
- X-ray beams are reflected from a crystal by Bragg reflection. If the density of the crystal structure is measured with an rms error for 3 parts is 104. The angle the incident and reflected rays make with the crystal plan is 6oand is measured with an rms error of 3.4 minutes of arc. Calculate the rms error in the determination of the X-ray wavelength?arrow_forwardIn a Young's double slit experiment set úp, slits are kept 0.4 mm apart from each other and screen is kept 2 m apart from slit. The fringe for a given monochromatic light is 0.8 mm. If the whole set up is kept in medium of refractive index 1.6, the fringe width becomes.arrow_forwardWhich properties of light are exhibited in the Double Slit Experiment? O Light acting as a particle only. O Light acting as both a particle and a wave. O Light acting as a wave only. O None of these are correct.arrow_forward
- A beam of light with wavelength 440 nm in air hits a thin piece of glass 10.28 microns thick (with refractive index 1.55) at an angle of 40.8 degrees to the normal. What is the path difference between the two reflections from the layers of the glass, in wavelengths? [Note to get the phase shift we multiply this number by 2π, but this is modulo 2π, i.e. any integer number of wavelengths are 2π phase shifts, equivalent to no phase shift... basically in terms of phase we only really need the non-integer part of your answer. Note also that for the phase shift we would need to add a π for the reflection off the glass-air interface.]arrow_forwardA parallel beam of monochromatic light of wavelength 450 nm passes through a slit of width 0.2 mm. Find the angular divergence in which most of the light is diffracted.arrow_forwardA double slit interference experiment uses a laser emitting light of two adjacent frequencies v, and v, (v, < v,). The minimum path difference between the interfering beams for which the interference pattern disappears is 12arrow_forward
- A “sawtooth" phase grating is periodic with period L and has a distribution of phase within one period from -L/2 to L/2 given by ø(5) = Show that all the diffracted intensity ends up on one diffraction order. Which order is this?arrow_forwardMonochromatic coherent light of amplitude E, and angular frequency w passes through three parallel slits, each sepa- rated by a distance d from its neighbor. (a) Show that the time-averaged intensity as a function of the angle 0 is 2πd sin θ I(0) = I 1 + 2 cos max (b) Explain how this expression describes both the primaryarrow_forwardConsider two antennas separated by 9.00 m that radiate in phase at 120 MHz. A receiver placed 150 m from both antennas measures an intensity I0. The receiver is moved so that it is 1.8 m closer to one antenna than to the other. (a) What is the phase difference ϕ between the two radio waves produced by this path difference? (b) In terms of I0, what is the intensity measured by the receiver at its new position?arrow_forward
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