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Red light (\lambda=710~\text{nm}λ=710 nm) illuminates double slits separated by a distance d=0.241~\text{mm}d=0.241 mm. The screen and the slits are 2.40 m apart. Find the distance on the screen between the central maximum (m=0m=0) and the third-order maximum (m=3m=3). Give your answer in cm

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zohazoee

Answer:

1.014 cm

Step-by-step explanation:

Given:

λ=710 nm = [tex]710*10^-9 m[/tex]

[tex]d= 0.21mm=0.21*10^-3 m[/tex]

[tex]D= 2.40m[/tex]

Formula:

[tex]y_{n} =(n D lambda)/d[/tex]

to find the distance between the central maximum and the 3rd maximum

put n=3

substituting the values in formula

[tex]y_{3} =(3)(710*10^-9)/(0.21*10^-3)[/tex]

 [tex]y_{3} =0.01014m = 1.014 cm[/tex]

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