In a Young's double slit experiment the spacing between the slits is 0.3 mm and the screen is kept at a distance of 1.5 m. The second bright fringe is found to be displaced by 6 mm from the central fringe. The wavelength of the light (in nm ) used in the experiment is

Question

In a Young's double slit experiment the spacing between the slits is 0.3 mm and the screen is kept at a distance of 1.5 m. The second bright fringe is found to be displaced by 6 mm from the central fringe. The wavelength of the light (in nm ) used in the experiment is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

According to question 2 β=6 mm where β=(λ D/d) ⇒ λ=((6 mm )(0.3 mm )/2(1.5 m )) =6 × 10-7 m =600 nm

Q. In a Young's double slit experiment the spacing between the slits is $0.3 mm$ and the screen is kept at a distance of $1.5 m$ . The second bright fringe is found to be displaced by $6 mm$ from the central fringe. The wavelength of the light (in $nm$ ) used in the experiment is

According to question
$2 β = 6 mm$ where $β = \frac{λ D}{d}$
$\Rightarrow λ = \frac{( 6 mm ) ( 0.3 mm )}{2 ( 1.5 m )}$
$= 6 \times 1 0^{- 7} m = 600 nm$

Q. In a Young's double slit experiment the spacing between the slits is 0.3mm and the screen is kept at a distance of 1.5m. The second bright fringe is found to be displaced by 6mm from the central fringe. The wavelength of the light (in nm ) used in the experiment is

According to question 2β=6mm where β=dλD​ ⇒λ=2(1.5m)(6mm)(0.3mm)​ =6×10−7m=600nm

Q. In a Young's double slit experiment the spacing between the slits is $0.3 mm$ and the screen is kept at a distance of $1.5 m$ . The second bright fringe is found to be displaced by $6 mm$ from the central fringe. The wavelength of the light (in $nm$ ) used in the experiment is

According to question
$2 β = 6 mm$ where $β = \frac{λ D}{d}$
$\Rightarrow λ = \frac{( 6 mm ) ( 0.3 mm )}{2 ( 1.5 m )}$
$= 6 \times 1 0^{- 7} m = 600 nm$