What will be the angle of diffracting for the first minimum due to Fraunhofer diffraction with sources of light of wavelength 550 nm and slit of width 0.55 mm ?

Question

What will be the angle of diffracting for the first minimum due to Fraunhofer diffraction with sources of light of wavelength 550 nm and slit of width 0.55 mm ? (A) 0.001 rad (B) 0.01 rad (C) 1 rad (D) 0.1 rad

Tardigrade Admin · Accepted Answer

Using d sin θ=n λ, for n=1 sin θ=(λ/d)=(550 × 10-9/0.55 × 10-3) =10-3=0.001 rad

Q. What will be the angle of diffracting for the first minimum due to Fraunhofer diffraction with sources of light of wavelength $550 nm$ and slit of width $0.55 mm$ ?

0.001 rad

0.01 rad

1 rad

0.1 rad

Using $d sin θ = nλ$ , for $n = 1$
$sin θ = \frac{λ}{d} = \frac{550 \times 1 0 ^{- 9}}{0.55 \times 1 0 ^{- 3}}$
$= 1 0^{- 3} = 0.001 r a d$

Q. What will be the angle of diffracting for the first minimum due to Fraunhofer diffraction with sources of light of wavelength 550nm and slit of width 0.55mm ?