A pair of slits is located near a screen in such a way that light incident on th
ID: 1504184 • 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 increase the angular position of the m = 5 maximum of the pattern (more than one answer may be correct)?
use light with a longer wavelength
use light with a shorter wavelength
increase the distance from the slits to the screen
decrease the distance from the slits to the screen
use slits which are farther apart
use slits which are closer together
(b) Which of the following actions performed by itself would decrease the distance along the screen between the pattern's center and the m = 2 minimum of the pattern (more than one answer may be correct)?
use light with a longer wavelength
use light with a shorter wavelength
increase the distance from the slits to the screen
decrease the distance from the slits to the screen
use slits which are farther apart
use slits which are closer together
Explanation / Answer
Formula
dsin? = m? for a double slit.
A) we get sin? = m?/d
sin ? is also proportional to y/L
Since m, ? and y are directly proportional to the angle, you can lower those values to reduce the angle.
Sinces d and L are inversely proportional to the angle, you can increase those values to reduce the angle.
The follwing choices are correct
use light with a shorter wavelength
increase the distance from the slits to the screen
use slits which are farther apart
B) This is the exact opposite situation of part A, increasing the distance along the screen means increasing the angle.
The follwing choices are correct
use light with a longer wavelength
decrease the distance from the slits to the screen
use slits which are closer together
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