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In Young's double slit experiment, if th...

In Young's double slit experiment, if the source of light changes from orange to blue then :

A

the central bright fringe will become a dark fringe.

B

the distance between consecutive fringes will decrease.

C

the distance between consecutive fringes will increase.

D

the intensity of the minima will increase

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The correct Answer is:
To solve the problem regarding the change in light source from orange to blue in Young's double slit experiment, we can follow these steps: ### Step-by-Step Solution: 1. **Understanding the Experiment**: In Young's double slit experiment, light passes through two closely spaced slits and creates an interference pattern on a screen. The pattern consists of bright and dark fringes. 2. **Identifying the Parameters**: The key parameters in the experiment include: - Wavelength of light (λ) - Fringe width (β), which is the distance between consecutive bright or dark fringes. 3. **Fringe Width Formula**: The formula for fringe width (β) is given by: \[ \beta = \frac{d \cdot \lambda}{D} \] where: - \(d\) = distance between the slits - \(D\) = distance from the slits to the screen - \(λ\) = wavelength of the light used 4. **Effect of Changing Wavelength**: When the source of light changes from orange to blue, the wavelength (λ) of the light decreases. - Orange light has a longer wavelength compared to blue light. - Therefore, when switching from orange to blue, we have \(λ_{blue} < λ_{orange}\). 5. **Impact on Fringe Width**: Since fringe width (β) is directly proportional to the wavelength (λ): - If λ decreases, then β also decreases. - Thus, the distance between consecutive fringes will decrease when changing from orange to blue light. 6. **Conclusion**: The correct conclusion is that the distance between consecutive fringes will decrease when the light source changes from orange to blue. ### Final Answer: The distance between consecutive fringes will decrease. ---
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