A viewing screen is separated from a double slit by 1.2 m. The distance between the two slits is 0.030 mm. Monochromatic light is directed toward the double slit and forms an interference pattern on the screen. The second-order bright fringe (m = 2) is 4.5 cm from the center line on the screen. Determine the wavelength of the light. Calculate the distance between adjacent bright fringes.

Respuesta :

Answer:562.5 nm

Explanation:

Given

Screen is separated from double slit [tex]\left ( D\right )by 1.2m[/tex]

Distance between two slits[tex]\left ( d\right ) is 0.030 mm[/tex]

Second order bight fringe is 4.5 cm from center  line

i.e.

[tex]y_2=\frac{2\lambda D}{d}[/tex]

[tex]\lambda =\frac{y_2\times d}{2D}[/tex]

[tex]\lambda =\frac{4.5\times 3\times 10^{-7}}{2.4}[/tex]

[tex]\lambda =562.5nm[/tex]

Distance between adjacent bright fringe

[tex]\Delta y=\frac{\lambda D}{d}=22.5\times 10^{-3} mm[/tex]