Light from a sodium lamp (λ = 589 nm) illuminates two narrow slits. The fringe spacing on a screen 150 cm behind the slits is 4.0 mm. What is the spacing (in mm) between the two slits?

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Answer:

the spacing (in mm) between the two slits = 0.221mm

Explanation:

The steps and appropriate formula is as shown in the attachment.

Ver imagen olumidechemeng

The spacing between the two slits is 0.221mm.

The spacing  between the two slits is given as,

                    [tex]D=\frac{\lambda L}{y}[/tex]

Where [tex]\lambda[/tex] is wavelength, y is fringe spacing and L is length of screen.

Given that, [tex]\lambda=589nm,L=150cm,y=4mm[/tex]

Substitute in above equation.

               [tex]D=\frac{589*10^{-9}*150*10^{-2} }{4*10^{-3} }\\ \\D=2.21*10^{-4} m\\\\D=0.221mm[/tex]

Hence, the spacing between the two slits is 0.221mm.

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