In a Young's double slit experiment, let S1 and S2 be the two slits, and C be the centre of the screen. If angle S1C S2 = θ and λ is the wavelength, the fringe width will be

Question

In a Young's double slit experiment, let S1 and S2 be the two slits, and C be the centre of the screen. If angle S1C S2 = θ and λ is the wavelength, the fringe width will be (A) (λ/θ) (B) λ θ (C) (2λ/θ) (D) (λ/2θ)

Tardigrade Admin · Accepted Answer

Fringe width, β = (λ D/d) and θ = (d/D) ∴ β =( λ /θ)

Q. In a Young's double slit experiment, let $S_{1}$ and $S_{2}$ be the two slits, and $C$ be the centre of the screen. If $∠ S_{1} C S_{2} = θ$ and $λ$ is the wavelength, the fringe width will be

$\frac{λ}{θ}$

$λ θ$

$\frac{2 λ}{θ}$

$\frac{λ}{2 θ}$

Fringe width, $β = \frac{λ D}{d}$ and
$θ = \frac{d}{D}$
$∴ β = \frac{λ}{θ}$

Q. In a Young's double slit experiment, let S1​ and S2​ be the two slits, and C be the centre of the screen. If ∠S1​CS2​=θ and λ is the wavelength, the fringe width will be

θλ​

λθ

θ2λ​

2θλ​