Using monochromatic light of wavelength λ, an experimentalist sets up the Young's double slit experiment in three ways as shown. If she observes that y = β' the wavelength of light used is:

Question

(A) 520 nm (B) 540 nm (C) 560 nm (D) 580 nm

Tardigrade Admin · Accepted Answer

B' =y (μ-1)t=dsinθ =dθ=(dy/D) y=(D(μ-1)/d)t ((2D)λ/d)=(D(μ-1)t/d) λ =((μ-1)t/2)=((1.6-1)×1.8μ m/2) =0.6×0.9 μ m =5.4 μ m =540 n m

Q. Using monochromatic light of wavelength $λ$ , an experimentalist sets up the Young's double slit experiment in three ways as shown.
If she observes that y = $β^{'}$ the wavelength of light used is :

520 nm

540 nm

560 nm

580 nm

$B^{'} = y < b r / >< b r / > (μ - 1) t = d s in θ$
$= d θ = \frac{d y}{D}$
$y = \frac{D ( μ - 1 )}{d} t$
$\frac{( 2 D ) λ}{d} = \frac{D ( μ - 1 ) t}{d}$
$λ = \frac{( μ - 1 ) t}{2} = \frac{( 1.6 - 1 ) \times 1.8 μ m}{2}$
$= 0.6 \times 0.9 μ m$
$= 5.4 μ m$
$= 540 nm$

Q. Using monochromatic light of wavelength λ, an experimentalist sets up the Young's double slit experiment in three ways as shown. If she observes that y = β′ the wavelength of light used is :