Understanding Diffraction of Light and Central Maximum Width Calculation

What is diffraction of light?

The act of bending light around corners such that it spreads out and illuminates regions where a shadow is anticipated is known as diffraction of light. In general, since both occur simultaneously, it is challenging to distinguish between diffraction and interference. The diffraction of light is what causes the silver lining we see in the sky. A silver lining appears in the sky when the sunlight penetrates or strikes the cloud.

Given the data:

Wavelength of light = 633 nm

Width of the slit = 0.200 mm

Distance of the central maximum = 2.00 m

What is the total width of the central maximum 2.00 m from the slit?

A. 1.266 cm

Answer:

The total width of the central maximum will be 1.266 cm.

Diffraction of light refers to the phenomenon where light waves spread out when encountering an obstacle or passing through a narrow slit, as described by Huygens' principle. This spreading out of light causes interference patterns and can be observed in various optical systems.

In the given scenario, the calculation for the total width of the central maximum is determined using the formula: total width = 2 * λ * D / a. Where λ is the wavelength of light, D is the distance to the central maximum, and a is the width of the slit.

By substituting the values provided in the data (633 nm for wavelength, 0.200 mm for slit width, and 2.00 m for distance), we can calculate the total width to be 1.266 cm, as shown in the calculation.

Understanding diffraction of light is crucial in optics and wave physics, as it explains how light behaves when encountering obstacles or undergoing interference. This knowledge plays a significant role in fields like astronomy, microscopy, and laser technology.

For further information on the topic of diffraction of light and related concepts, you can explore the provided link for additional resources.

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