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A pair of slits is located near a screen in such a way that light incident on th

ID: 2229883 • Letter: A

Question

A pair of slits is located near a screen in such a way that light incident on the slits can form a double slit interference pattern on the screen. (a) Which of the following actions performed by itself would decrease the angular position of the m = 4 maximum of the pattern (more than one answer may be correct)? 1.use light with a longer wavelength 2.use light with a shorter wavelength 3.increase the distance from the slits to the screen 4.decrease the distance from the slits to the screen 5.use slits which are farther apart 6.use slits which are closer together (b) Which of the following actions performed by itself would increase the distance along the screen between the pattern's center and the m = 3 minimum of the pattern (more than one answer may be correct)? 1.use light with a longer wavelength 2.use light with a shorter wavelength 3.increase the distance from the slits to the screen 4.decrease the distance from the slits to the screen 5.use slits which are farther apart 6.use slits which are closer together

Explanation / Answer

The formula to use, while conceptually analyzing this question, is dsin? = m? for a double slit. Part A)Arranging it for the angle, we get sin? = m?/d sin ? is also proportional to y/L Since, in the two equations, m, ? and y are directly proportional to the angle, you can lower those values to reduce the angle. Since, in the two equations d and L are inversely proportional to the angle, you can increase those values to reduce the angle. Thus choices 2, 3 and 5

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