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The figure provided shows the light intensity on a viewing screen behind a single slit of width a that is illuminated with red light. What will happen to the width of the central maximum fringe if blue light is used instead? The width decreases. The width remains the same. The width increases.

Question

The figure provided shows the light intensity on a viewing screen behind a single slit of width a that is illuminated with red light. What will happen to the width of the central maximum fringe if blue light is used instead? The width decreases. The width remains the same. The width increases.

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Solution

The width of the central maximum fringe will decrease. This is because the color of the light affects the diffraction pattern. Blue light has a shorter wavelength than red light. According to the formula for single-slit diffraction, the width of the central maximum is directly proportional to the wavelength of the light. Therefore, when blue light is used instead of red light, the width of the central maximum fringe will decrease.

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