Two narrow slits separated by 1.5 mm are illuminated by 514 nm light. Find the distance between adjacent bright fringes on a screen 5.0 m from the slits. Express your answer in meters using two significant figures.

Respuesta :

Answer:

[tex] 1.7\times 10^{-3}[/tex] m

Explanation:

d = separation between the two narrow slits = 1.5 mm = 1.5 x 10⁻³ m

λ = wavelength of the light = 514 nm = 514 x 10⁻⁹ m

D = Distance of the screen from the narrow slits = 5.0 m

w = Distance between the adjacent bright fringes on the screen

Distance between the adjacent bright fringes on the screen is given as

[tex]w = \frac{D\lambda }{d}[/tex]

[tex]w = \frac{(5.0)(514\times 10^{-9}) }{1.5\times 10^{-3}}[/tex]

[tex]w = 1.7\times 10^{-3}[/tex] m

The distance between the adjacent bright fringes is : 1.7 * 10⁻³ M

Given data :

separation between slits ( d ) = 1.5 x 10⁻³ m

wavelength of light ( λ ) =  514 * 10⁻⁹ m

Distance from narrow slit ( D ) = 5.0 m

Determine the distance between the adjacent bright fringes

we apply the formula below

w = D * λ  / d  ---- ( 1 )

where : w = distance between adjacent bright fringes

Back to equation ( 1 )

w =  ( 5 * 514 * 10⁻⁹ ) / 1.5 x 10⁻³

   = 1.7 * 10⁻³ M

Hence we can conclude that The distance between the adjacent bright fringes is : 1.7 * 10⁻³ M

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