Asked by Michael
A two-slit pattern is viewed on a screen 1.17 m from the slits. What is the width of the central bright fringe, if the third dark fringes on either side are 26.4 cm apart?
Answers
Answered by
Elena
The coordinate of dark fringe is
y=(2k+1)Lλ/2d.
The width of the central bright fringe= the distance between the first dark fringes is
2y₁=2•(2•1+1)Lλ/2d =3 Lλ/d.
The distance between the third dark fringes is
2y₃=2•(2•3+1)Lλ/2d=7 Lλ/d.
2y₁/2y₃=(3 Lλ/d)/( 7 Lλ/d),
2y₁/2y₃=3/7,
2y₁=2y₃•3/7=
=26.4•3/7=11.3 cm
y=(2k+1)Lλ/2d.
The width of the central bright fringe= the distance between the first dark fringes is
2y₁=2•(2•1+1)Lλ/2d =3 Lλ/d.
The distance between the third dark fringes is
2y₃=2•(2•3+1)Lλ/2d=7 Lλ/d.
2y₁/2y₃=(3 Lλ/d)/( 7 Lλ/d),
2y₁/2y₃=3/7,
2y₁=2y₃•3/7=
=26.4•3/7=11.3 cm
Answered by
Michael
Sorry not the right answer
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