Answer:
λ = 381 nm
Explanation:
given,
width of slit,a = 0.580 x 10⁻³ m
distance of the screen from the slit, D = 1.56 m
width of central maximum,y = 2.05 x 10⁻³ m
Distance of the edge of central maximum from center of the central maximum y ‘ = y/ 2
Y ‘ = 1.025 x 10⁻³ m
for first maximum
d sin θ = λ
sin θ = tan θ = y'/D
[tex]\lambda = \dfrac{y'a}{D}[/tex]
[tex]\lambda = \dfrac{1.025\times 10^{-3}\times 0.580\times 10^{-3}}{1.56}[/tex]
λ = 381 x 10⁻⁹ m
λ = 381 nm
wavelength of light is equal to 381 nm.
