White light is used to illuminate the two slits in Young's double-slit experiment. The separation between two slits is x and the screen is at distance zx from the slits. At a point on the screen directly in front of one of the slit which wavelength is absent?

Question

White light is used to illuminate the two slits in Young's double-slit experiment. The separation between two slits is x and the screen is at distance z>>x from the slits. At a point on the screen directly in front of one of the slit which wavelength is absent? (A) (2 x2/z) (B) (3 x2/z) (C) (x2/5 z) (D) (x2/2 z)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-2kuka2upyln9mwka.jpg" /> ynt h dark=((2 n - 1) λ D/2 d) =((2 n - 1) × z/2 x) (x/2)=((2 n - 1)/2)(λ z/x) λ =(x2/(2 n - 1) z) λ =(x2/z) for n=1 λ =(x2/3 z) for n=2 λ =(x2/5 z) for n=3

Q. White light is used to illuminate the two slits in Young's double-slit experiment. The separation between two slits is $x$ and the screen is at distance $z >> x$ from the slits. At a point on the screen directly in front of one of the slit which wavelength is absent?

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

$\frac{3 x ^{2}}{z}$

$\frac{x ^{2}}{5 z}$

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

$y_{n^{t h}} d a r k = \frac{( 2 n - 1 ) λ D}{2 d}$ $= \frac{( 2 n - 1 ) \times z}{2 x}$
$\frac{x}{2} = \frac{( 2 n - 1 )}{2} \frac{λ z}{x}$
$λ = \frac{x ^{2}}{( 2 n - 1 ) z}$
$λ = \frac{x ^{2}}{z}$ for $n = 1$
$λ = \frac{x ^{2}}{3 z}$ for $n = 2$
$λ = \frac{x ^{2}}{5 z}$ for $n = 3$

Q. White light is used to illuminate the two slits in Young's double-slit experiment. The separation between two slits is x and the screen is at distance z>>x from the slits. At a point on the screen directly in front of one of the slit which wavelength is absent?

z2x2​

z3x2​

5zx2​

2zx2​