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what happens if instead of monochromatic light if we use white light in young's double slit experiment,In the ncert textbook it's written that the central fringe will be white ok i agree but it is also mentioned that the fringe next to the white fringe will be red in colour but in hc verma solution to the question no. 9 on page 380 of part 1 the story is quite different the answer to that question is that the fringe next to the white fringe will be violet

Kevin Nash , 12 Years ago
Grade upto college level
anser 1 Answers
Askiitians Tutor Team

In Young's double slit experiment, the use of monochromatic light versus white light leads to different outcomes in terms of the observed interference pattern. When monochromatic light is used, you see a series of bright and dark fringes that are all the same color. However, when white light is employed, the situation becomes more complex due to the presence of multiple wavelengths.

Understanding White Light in the Experiment

White light is composed of various colors, each corresponding to different wavelengths. When this light passes through the double slits, each color will interfere with itself, creating its own pattern of fringes. The result is a superposition of these patterns, leading to a unique visual outcome.

Central Fringe Appearance

The central fringe, where the path difference is zero, will indeed appear white. This is because all the colors of light constructively interfere at this point, combining to produce white light. This is consistent across different sources, including your NCERT textbook.

Fringe Colors Beyond the Center

Now, regarding the fringes adjacent to the central white fringe, the colors observed can vary based on the specific conditions of the experiment, such as the distance between the slits and the screen, as well as the wavelength of light used. The fringe next to the central white fringe will typically be the color that corresponds to the next longest wavelength, which is red. This is because red light has a longer wavelength and will diffract more than the shorter wavelengths.

However, in some interpretations or specific setups, you might find that the fringe next to the central white fringe appears violet. This could be due to the specific arrangement of the wavelengths and how they overlap in the interference pattern. In essence, the fringe colors can shift based on the experimental setup and the precise conditions under which the light is being observed.

Visualizing the Interference Pattern

  • Central Fringe: White (all colors combine).
  • First Order Fringe: Typically red (longer wavelength).
  • Second Order Fringe: Orange, yellow, green, blue, and finally violet as you move outward.

In summary, while the central fringe is consistently white, the colors of the adjacent fringes can vary based on the specific characteristics of the light and the experimental setup. This is why you might see different interpretations in various textbooks or solutions. It's essential to consider the context and the specific parameters of the experiment when analyzing these results.

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