Question

Consider the double slit experiment for light. Complete each statement as it would apply to Young's experiment (for each statement select "Increases", "Decreases", or "Cannot be Predicted"). If a variable is not mentioned, consider it to remain unchanged.Required:a. If the distance to the screen decreases, fringe separation:_______?b. If the frequency of the light used increases, fringe separation:_______?c. If the wavelength of the light used decreases, fringe separation:_______?d. For the fringe separation to remain unchanged, wavelength__________ while the distance to the screen decreases.e. If slit separation decreases, fringe separation :_______?f. If slit separation decreases and the distance to the screen decreases, fringe separation :_______?g. If the distance to the screen triples and slit separation doubles, fringe separation :_______?

Answer 1

Answer:

a)  DECREASE , b) Decreases , c)     DECREASE , d)  the wavelength must increase , e) increasses,

Explanation:

Young's double-slit experience is explained for constructive interference by the expression

          d sin θ = m λ

as in this case, the measured angles are very small,

          tan θ = y / L

         tan θ = sin θ / cos θ = sin θ

          sin θ= y L

        d y / L = m Lam

 we can now examine the statements given

a) if the distance to the screen decreases

        y = m λ / d L

if L decreases and decreases.

The answer is DECREASE

b) if the frequency increases

    the wave speed is

         c = λ f

         λ = c / f

we substitute

          y = (m / d l) c / f

in this case if if the frequency is increased the separation decreases

Decreases

c) If the wavelength decreases

separation decreases

   DECREASE

d) if it is desired that the separation does not change while the separation to the Panamanian decreases the wavelength must increase

      y = (m / d) lam / L

e) if the parcionero between the slits (d) decreases the separation increases

   INCREASES

f) t he gap separation decreases and the distance to the screen decreases so well.

Pattern separation remains constant