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Chapter 34: Problem 14

A double slit is positioned in front of an incandescent light bulb. Will an interference pattern be produced?

Short Answer

Expert verified
Answer: No, an interference pattern will not be produced in this case because an incandescent light bulb emits incoherent light, which is not suitable for producing interference patterns in a double-slit experiment.

Step by step solution

01

Understanding the double-slit experiment

The double-slit experiment is a classic physics experiment that demonstrates the wave-particle duality of light. When light passes through two parallel slits, an interference pattern is produced, which can be observed on a screen. The interference pattern is a result of the constructive and destructive interference of light waves from the two slits.
02

Coherence of light

For an interference pattern to be produced in a double-slit experiment, the light source must be coherent. Coherent light is light that maintains a fixed phase relationship over time, allowing the constructive and destructive interference to produce an observable pattern. Examples of coherent light sources include lasers and some filtered light sources.
03

Analyzing the incandescent light bulb

An incandescent light bulb emits light due to the heating of a filament. This method produces a wide range of wavelengths and directions, resulting in incoherent light. As the light emitted from an incandescent bulb does not maintain a fixed phase relationship over time, it is not a suitable light source for producing interference patterns in a double-slit experiment.
04

Final conclusion

In summary, an incandescent light bulb emits incoherent light, which is not suitable for producing interference patterns in a double-slit experiment. Therefore, in this particular setup, an interference pattern will not be produced with the incandescent light bulb as the light source.

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Most popular questions from this chapter

A Newton's ring apparatus consists of a convex lens with a large radius of curvature \(R\) placed on a flat glass disc. (a) Show that the distance \(x\) from the center to the air, thickness \(d,\) and the radius of curvature \(R\) are given by \(x^{2}=2 R d\) (b) Show that the radius of nth constructive interference is given by \(x_{\mathrm{n}}=\left[\left(n+\frac{1}{2}\right) \lambda R\right]^{1 / 2} .\) (c) How many bright fringes may be seen if it is viewed by red light of wavelength 700\. \(\mathrm{nm}\) for \(R=10.0 \mathrm{~m},\) and the plane glass disc diameter is \(5.00 \mathrm{~cm} ?\)

In Young's double-slit experiment, both slits were illuminated by a laser beam and the interference pattern was observed on a screen. If the viewing screen is moved farther from the slit, what happens to the interference pattern? a) The pattern gets brighter. b) The pattern gets brighter and closer together. c) The pattern gets less bright and farther apart. d) There is no change in the pattern. e) The pattern becomes unfocused. f) The pattern disappears.

White light shines on a sheet of mica that has a uniform thickness of \(1.30 \mu \mathrm{m} .\) When the reflected light is viewed using a spectrometer, it is noted that light with wavelengths of \(433.3 \mathrm{nm}, 487.5 \mathrm{nm}, 557.1 \mathrm{nm}, 650.0 \mathrm{nm}\), and \(780.0 \mathrm{nm}\) is not present in the reflected light. What is the index of refraction of the mica?

One type of hologram consists of bright and dark fringes produced on photographic film by interfering laser beams. If this is illuminated with white light, the image will appear reproduced multiple times, in different pure colors at different sizes. a) Explain why. b) Which colors correspond to the largest and smallest images, and why?

Coherent monochromatic light with wavelength \(\lambda=514 \mathrm{nm}\) is incident on two slits that are separated by a distance \(d=0.500 \mathrm{~mm} .\) The intensity of the radiation at a screen \(2.50 \mathrm{~m}\) away from each slit is \(180.0 \mathrm{~W} / \mathrm{cm}^{2} .\) Deter-
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