A narrow slit of width 2 mm is illuminated by monochromatic light of wavelength 500 nm. The distance between the first minima on either side on a screen at a distance of 1 m is

Question

A narrow slit of width 2 mm is illuminated by monochromatic light of wavelength 500 nm. The distance between the first minima on either side on a screen at a distance of 1 m is (A) 5 mm (B) 0.5 mm (C) 1 mm (D) 10 mm

Tardigrade Admin · Accepted Answer

Here, a = 2 mm = 2 × 10- 3 m λ = 500 nm = 500 × 10-9 m = 5 × 10-7 m, D = 1 m The distance between the first minima on either side on a screen = (2λ D/a) = (2×5×10-7×1/2×10-3) = 5 ×10-4 m =0.5×10-3 m = 0.5 mm

Q. A narrow slit of width $2 mm$ is illuminated by monochromatic light of wavelength $500 nm$ . The distance between the first minima on either side on a screen at a distance of $1 m$ is

$5 mm$

$0.5 mm$

$1 mm$

$10 mm$

Q. A narrow slit of width 2mm is illuminated by monochromatic light of wavelength 500nm. The distance between the first minima on either side on a screen at a distance of 1m is

5mm

0.5mm

1mm

10mm

Here, a=2mm=2×10−3m λ=500nm=500×10−9m=5×10−7m,D=1m The distance between the first minima on either side on a screen =a2λD​=2×10−32×5×10−7×1​ =5×10−4m =0.5×10−3m =0.5mm

Q. A narrow slit of width $2 mm$ is illuminated by monochromatic light of wavelength $500 nm$ . The distance between the first minima on either side on a screen at a distance of $1 m$ is

$5 mm$

$0.5 mm$

$1 mm$

$10 mm$