In youngs double slit experiment , three light , blue, yellow, and red are used succesively .for which colour will the fringe width be maximum

In Young's double-slit experiment, the fringe width is influenced by the wavelength of the light used. When considering the colors blue, yellow, and red, we need to understand how wavelength affects the fringe width. The fringe width (β) can be calculated using the formula:

Fringe Width Formula

The formula for fringe width is given by:

β = λD / d

• λ = wavelength of the light
• D = distance from the slits to the screen
• d = distance between the slits

Understanding Wavelengths of Colors

Different colors of light correspond to different wavelengths. Here’s a quick overview:

• Blue light: approximately 450 nm
• Yellow light: approximately 580 nm
• Red light: approximately 650 nm

Analyzing the Fringe Width

From the formula, we can see that the fringe width is directly proportional to the wavelength (λ). This means that as the wavelength increases, the fringe width also increases. Since red light has the longest wavelength among the three colors, it will produce the widest fringes.

Comparative Example

To visualize this, think of the fringe pattern as a series of waves. If you imagine throwing three different-sized stones into a pond, the largest stone (representing red light) will create the widest ripples, while the smaller stones (blue and yellow) will create narrower ripples. This analogy helps illustrate how longer wavelengths lead to wider fringe patterns.

Conclusion on Fringe Width

Therefore, in the context of Young's double-slit experiment using blue, yellow, and red light, the red light will yield the maximum fringe width due to its longer wavelength. This principle is fundamental in understanding wave behavior and interference patterns in physics.