Week 11 Assignment.docx

Week 11 Assignment.docx - RamonB.Flores 4355744 SCIN234C001...

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Ramon B. Flores 4355744 SCIN234 C001 18 . What is the separation between two slits for which 610-nm orange light has its first maximum at an  angle of  30.0° 30.0 ° ? dsinθ = d = sin θ d = ( 1 ) ( 610 nm ) ( 10 9 m 1 nm ) sin ( 30 ° ) = 1.22 × 10 6 m 28 . Shown below is a double slit located a distance  x  from a screen, with the distance from the center of  the screen given by  y . When the distance  d  between the slits is relatively large, numerous bright  spots appear, called fringes. Show that, for small angles (where  sinθ≈θ sin θ≈θ , with  θ θ  in  radians), the distance between fringes is given by  Δy=xλ/d Δ y=x /d λ dsinθ m = m λ dsinθ m + 1 =( m + 1 ) λ

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Subtract d ( sin θ m + 1 sin θ m )=( m + 1 m ) λ d ( sin θ m + 1 sin θ m )= λ For small angles sinθ≈θ d ( θ m + 1 θ m )= λ tan θ m = y m x ≈θ m d ( y m + 1 x y m x )= λ d ( y m + 1 y m x )= λ d ( Δ y x ) = λ Δ y = λ x d 30 . Using the result of the problem two problems prior, find the wavelength of light that produces fringes  7.50 mm apart on a screen 2.00 m from double slits separated by 0.120 mm.

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