Answer : (C) "Higher frequencies have larger spaces between lines".
Explanation:
In Young's experiment, the condition for constructive interference is given by :
[tex]dsin\theta=n\lambda[/tex].........(1)
n is order or number of lines observed
d is distance between slits
[tex]\theta[/tex] is the angle between the path and the line from screen to the slits.
We also know that, [tex]c=\nu \lambda[/tex]
or
[tex]\lambda=\dfrac{c}{\nu}[/tex]
where,
c is the speed of light
[tex]\nu[/tex] is frequency
[tex]\lambda[/tex] is wavelength
So, equation (1) turns into
[tex]dsin\theta=n\dfrac{c}{\nu}[/tex]
[tex]\nu=\dfrac{n\ c}{d\ sin\theta}[/tex]
So,
[tex]\nu\propto n[/tex]
or
Higher frequencies have larger spaces between line.
So, correct option is (C).
