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Light of a single frequency passes through two narrow slits and produces an interference patternon a screen some distance away. The interference fringes are very close together.Which change would increase the distance between the fringes?A Increase the brightness of the light source.B Increase the distance between the slits and the screen.C Increase the distance between the two slits.D Increase the frequency of the light used.

Question

Light of a single frequency passes through two narrow slits and produces an interference patternon a screen some distance away. The interference fringes are very close together.Which change would increase the distance between the fringes?A Increase the brightness of the light source.B Increase the distance between the slits and the screen.C Increase the distance between the two slits.D Increase the frequency of the light used.

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Solution

The distance between the interference fringes in a double-slit experiment is determined by the wavelength of the light (which is inversely proportional to its frequency), the distance between the slits, and the distance from the slits to the screen.

Here's how each option would affect the fringe spacing:

A. Increasing the brightness of the light source would not affect the fringe spacing. Brightness is related to the intensity or amount of light, not its interference pattern.

B. Increasing the distance between the slits and the screen would increase the distance between the fringes. The fringe spacing is directly proportional to the distance from the slits to the screen.

C. Increasing the distance between the two slits would decrease the distance between the fringes. The fringe spacing is inversely proportional to the slit separation.

D. Increasing the frequency of the light used would decrease the distance between the fringes. The fringe spacing is inversely proportional to the light's frequency (or directly proportional to its wavelength).

So, the correct answer is B. Increasing the distance between the slits and the screen would increase the distance between the fringes.

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