What would be the angular separation between the consecutive bright fringes in Young's double slit experiment with blue green light of wavelength 400 mm ? The separation between the slits is 0.001 m.

Question

What would be the angular separation between the consecutive bright fringes in Young's double slit experiment with blue green light of wavelength 400 mm ? The separation between the slits is 0.001 m. (A) 4 × 10-4 rad (B) 3 × 10-4 rad (C) 2 × 10-4 rad (D) 1 × 10-4 rad

Tardigrade Admin · Accepted Answer

Given, in Young's double slit experiment,
Wavelength,

λ = 400 \times 1 0^{- 9} m

Separation between slits

d = 0.001 m = 1 \times 1 0^{- 3} m

As we know that,

λ = d sin θ

and for very small value of

θ, sin θ \approx θ

∴ θ = \frac{λ}{d} = \frac{400 \times 1 0 ^{- 9}}{1 0 ^{- 3}} = 4 \times 1 0^{- 4} r a d

Q. What would be the angular separation between the consecutive bright fringes in Young's double slit experiment with blue green light of wavelength $400 mm$ ? The separation between the slits is $0.001 m$ .

$4 \times 1 0^{- 4} r a d$

$3 \times 1 0^{- 4} r a d$

$2 \times 1 0^{- 4} r a d$

$1 \times 1 0^{- 4} r a d$

Q. What would be the angular separation between the consecutive bright fringes in Young's double slit experiment with blue green light of wavelength 400mm ? The separation between the slits is 0.001m.

4×10−4rad

3×10−4rad

2×10−4rad

1×10−4rad

Given, in Young's double slit experiment, Wavelength, λ=400×10−9m Separation between slits d=0.001m=1×10−3m As we know that, λ=dsinθ and for very small value of θ,sinθ≈θ ∴θ=dλ​=10−3400×10−9​=4×10−4rad

Q. What would be the angular separation between the consecutive bright fringes in Young's double slit experiment with blue green light of wavelength $400 mm$ ? The separation between the slits is $0.001 m$ .

$4 \times 1 0^{- 4} r a d$

$3 \times 1 0^{- 4} r a d$

$2 \times 1 0^{- 4} r a d$

$1 \times 1 0^{- 4} r a d$