Respuesta :
Answer:
λ = 502 n m
Explanation:
given,
slit separation, d = 0.040 mm
= 4 x 10⁻⁵ m
Distance between the fringes, D = 4.70 m
distance between the fringes, x = 5.9 cm
= 0.059 m
wavelength of the light = ?
the separation between the fringe is given by
[tex]x = \dfrac{n\lambda\ D}{d}[/tex]
[tex]\lambda = \dfrac{x d}{n\ D}[/tex]
where as n = 1
[tex]\lambda = \dfrac{0.059\times 4\times 10^{-5}}{1\times 4.70}[/tex]
λ = 5.02127 x 10⁻⁷ m
λ = 502 n m
hence, the wavelength of the light is equal to λ = 502 n m
