White light is used in Young's double slit experiment. Separation between slits is y and the screen is at distance x from slits (x y). Which of these wavelengths is missing in front of one of the slits?

Question

White light is used in Young's double slit experiment. Separation between slits is y and the screen is at distance x from slits (x > > y). Which of these wavelengths is missing in front of one of the slits? (A) (y2/x) (B) (y2/2 x) (C) (y2/4 x) (D) All of these

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/49d37de81aea4921b095c2871e169949-.png" /> Distance of minima from central maxima y1=((2 m-1) λ D/2 d) y1=(y/2), d=y, D=x λ=(y2/(2 m-1) x) m=1,2,3, ldots

Q. White light is used in Young's double slit experiment. Separation between slits is $y$ and the screen is at distance $x$ from slits $(x >> y)$ . Which of these wavelengths is missing in front of one of the slits?

$\frac{y ^{2}}{x}$

$\frac{y ^{2}}{2 x}$

$\frac{y ^{2}}{4 x}$

All of these

Distance of minima from central maxima
$y_{1} = \frac{( 2 m - 1 ) λ D}{2 d}$
$y_{1} = \frac{y}{2}, d = y, D = x$
$λ = \frac{y ^{2}}{( 2 m - 1 ) x}$
$m = 1, 2, 3, \dots$

Q. White light is used in Young's double slit experiment. Separation between slits is y and the screen is at distance x from slits (x>>y). Which of these wavelengths is missing in front of one of the slits?

xy2​

2xy2​

4xy2​