Monochromatic green light of wavelength 5 × 10-7 m illuminates a pair of slits 1 mm apart. The separation of bright lines in the interference pattern formed on a screen 2 m away is (in mm )?

Question

Monochromatic green light of wavelength 5 × 10-7 m illuminates a pair of slits 1 mm apart. The separation of bright lines in the interference pattern formed on a screen 2 m away is (in mm )? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

λ=5 × 10-7 m, d=10-3 m, D =2 m Separation of bright lines = fringe width =(λ D / d ) =(5 × 10-7 × 2/10-3)=10 × 10-4 m =10-3 m =1 mm

Q. Monochromatic green light of wavelength $5 \times 1 0^{- 7} m$ illuminates a pair of slits $1 mm$ apart. The separation of bright lines in the interference pattern formed on a screen $2 m$ away is (in $mm$ )?

$λ = 5 \times 1 0^{- 7} m,$
$d = 1 0^{- 3} m,$
$D = 2 m$
Separation of bright lines $=$ fringe width
$= \frac{λ D}{d}$
$= \frac{5 \times 1 0 ^{- 7} \times 2}{1 0 ^{- 3}} = 10 \times 1 0^{- 4} m$
$= 1 0^{- 3} m = 1 mm$

Q. Monochromatic green light of wavelength 5×10−7m illuminates a pair of slits 1mm apart. The separation of bright lines in the interference pattern formed on a screen 2m away is (in mm )?

λ=5×10−7m, d=10−3m, D=2m Separation of bright lines = fringe width =dλD​ =10−35×10−7×2​=10×10−4m =10−3m=1mm

Q. Monochromatic green light of wavelength $5 \times 1 0^{- 7} m$ illuminates a pair of slits $1 mm$ apart. The separation of bright lines in the interference pattern formed on a screen $2 m$ away is (in $mm$ )?

$λ = 5 \times 1 0^{- 7} m,$
$d = 1 0^{- 3} m,$
$D = 2 m$
Separation of bright lines $=$ fringe width
$= \frac{λ D}{d}$
$= \frac{5 \times 1 0 ^{- 7} \times 2}{1 0 ^{- 3}} = 10 \times 1 0^{- 4} m$
$= 1 0^{- 3} m = 1 mm$