In Young's double-slit experiment, d=0.1mm , D=20cm , and λ =5460 Å , the angular position of first dark fringe will be

Question

In Young's double-slit experiment, d=0.1mm , D=20cm , and λ =5460 Å , the angular position of first dark fringe will be (A) 0.08o (B) 0.24o (C) 0.32o (D) 0.16o

Tardigrade Admin · Accepted Answer

Position of dark fringe y=(2 n - 1)(λ /2)× (D/d)=(λ /2)× (D/d) ∴ Also θ =(y/D) =(λ /2 d)=2730× 10- 6× (180/π )=0.16o

Q. In Young's double-slit experiment, $d = 0.1 mm$ , $D = 20 c m$ , and $λ = 5460 Å$ , the angular position of first dark fringe will be

$0.0 8^{o}$

$0.2 4^{o}$

$0.3 2^{o}$

$0.1 6^{o}$

Position of dark fringe $y = (2 n - 1) \frac{λ}{2} \times \frac{D}{d} = \frac{λ}{2} \times \frac{D}{d}$
$∴$ Also $θ = \frac{y}{D}$
$= \frac{λ}{2 d} = 2730 \times 1 0^{- 6} \times \frac{180}{π} = 0.1 6^{o}$

Q. In Young's double-slit experiment, d=0.1mm , D=20cm , and λ=5460Å , the angular position of first dark fringe will be

0.08o

0.24o

0.32o

0.16o