Red light of wavelength 6500 mathringA from a distant source falls on a slit 0.5 mm wide. What will be the distance between the two dark bands on each side of central bright band of the diffraction pattern observed on a screen placed 1.8 from the slit?

Question

Red light of wavelength 6500 mathringA from a distant source falls on a slit 0.5 mm wide. What will be the distance between the two dark bands on each side of central bright band of the diffraction pattern observed on a screen placed 1.8 from the slit? (A) 4 mm (B) 4.68 mm (C) 5.06 mm (D) 6 mm

Tardigrade Admin · Accepted Answer

Distance =(2 λ D / d )=(2 × 6500 × 10-10 × 1.8/0.5 × 10-3) Distance =4.68 × 10-3 m =4.68 mm

Q. Red light of wavelength $6500 \overset{˚}{A}$ from a distant source falls on a slit $0.5 mm$ wide. What will be the distance between the two dark bands on each side of central bright band of the diffraction pattern observed on a screen placed $1.8$ from the slit?

$4 mm$

$4.68 mm$

$5.06 mm$

$6 mm$

Distance $= \frac{2 λ D}{d} = \frac{2 \times 6500 \times 1 0 ^{- 10} \times 1.8}{0.5 \times 1 0 ^{- 3}}$
Distance $= 4.68 \times 1 0^{- 3} m = 4.68 mm$

Q. Red light of wavelength 6500A˚ from a distant source falls on a slit 0.5mm wide. What will be the distance between the two dark bands on each side of central bright band of the diffraction pattern observed on a screen placed 1.8 from the slit?

4mm

4.68mm

5.06mm

6mm