The width of a slit is 2.3 x 105 m. Light with a wavelength of 470 nm passes through this slit and falls on a screen that is located 0.64 m away. In the diffraction pattern, find the width of the bright fringe that is next to the central bright fringe. Single slit Bright fringe Bright fringe Second dark fringe First dark fringe Central bright fringe First dark fringe Second dark fringe Screen

The width of a slit is 2.3 x 105 m. Light with a wavelength of 470 nm passes through this slit and falls on a screen that is located 0.64 m away. In the diffraction pattern, find the width of the bright fringe that is next to the central bright fringe. Single slit Bright fringe Bright fringe Second dark fringe First dark fringe Central bright fringe First dark fringe Second dark fringe Screen

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter27: Wave Optics

Section: Chapter Questions

Problem 4OQ

See similar textbooks

Similar questions

A monochromatic beam of light of wavelength 500 nm illuminates a double slit having a slit separation of 2.00 105 m. What is the angle of the second-order bright fringe? (a) 0.050 0 rad (b) 0.025 0 rad (c) 0.100 rad (d) 0.250 rad (e) 0.010 0 rad
A microwave of an unknown wavelength is incident on a single slit of width 6 cm. The angular width of the central peak is found to be 25°. Find the wavelength.
The width of the central peak in a single-slit diffraction pattern is 5.0 mm. The wavelength of the light is 600 nm, and the screen is 2.0 m from the slit. (a) What is the width of the slit? (b) Determine the ratio of the intensity at 4.5 mm from the center of the pattern to the intensity at the center.
Figure 24.26 shows the interference pattern of two radio antennas broadcasting the same signal. Explain how this is analogous to the interference pattern for sound produced by two speakers. Could this he used to make a directional antenna system that broadcasts preferentially in certain directions? Explain. Figure 24.26 An overhead view of two radio broadcast antennas sending the same signal, and the interference pattern they produce.
Show that the distribution of intensity in a double-slit pattern is given by Equation 36.9. Begin by assuming that the total magnitude of the electric field at point P on the screen in Figure 36.4 is the superposition of two waves, with electric field magnitudes E1=E0sintE2=E0sin(t+) The phase angle in in E2 is due to the extra path length traveled by the lower beam in Figure 36.4. Recall from Equation 33.27 that the intensity of light is proportional to the square of the amplitude of the electric field. In addition, the apparent intensity of the pattern is the time-averaged intensity of the electromagnetic wave. You will need to evaluate the integral of the square of the sine function over one period. Refer to Figure 32.5 for an easy way to perform this evaluation. You will also need the trigonometric identity sinA+sinB=2sin(A+B2)cos(AB2)
What is the angular width of the central fringe of the interference pattern of (a) 20 slits separated by d=2.0103 mm? (b) 50 slits with the same separation? Assume that =600 nm.
Figure P24.69 shows a radio-wave transmitter and a receiver, both h = 50.0 m above the ground and d = 6.00 102 m apart. The receiver can receive signals directly from the transmitter and indirectly from signals that bounce off the ground. If the ground is level between the transmitter and receiver and a /2 phase shift occurs upon reflection, determine the longest wavelengths that interior (a) constructively and (b) destructively. Figure P24.69
A beam of monochromatic green light is diffracted by a slit of width 0.550 mm. The diffraction pattern forms on a wall 2.06 m beyond the slit. The distance between the positions of zero intensity on both sides of the central bright fringe is 4.10 mm. Calculate the wavelength of the light.
An EM wave with wavelength 6.50E-7 m passes through a thin slit and form a diffraction pattern on a screen 3.67 m away. The distance between the central bright fringe and the first dark fringe is measured to be 4.20-3 m. What is the slit width (in meter)?
An interference experiment is performed with monochromatic (one color) laser light. The separation between the slits is 0.600 mm, and the screen is located 7.44 m from the slits. The first bright fringe is located 4.64 mm from the center of the interference pattern. What is the wavelength of the laser light (in nm)?
The central bright fringe in a single-slit diffraction pattern has a width that equals the distance between the screen and the slit. Find the ratio A/W of the wavelength of the light to the width W of the slit. Number i Units
In a Young's double-slit experiment, the seventh dark fringe is located 0.035 m to the side of the central bright fringe on a flat screen, which is 1.1 m away from the slits. The separation between the slits is 1.4 x 104 m. What is the wavelength of the light being used? Number Seventh dark fringe KE Central bright fringe Seventh dark fringe Double slit Units Screen