Solution5 - PHYS 434 Assignment 5 solutions Problems...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
PHYS 434: Assignment 5 solutions Problems 5.1-5.3 5.1: Proceed as in example 5.1. Bright fringes will be spaced by Δ y = λ L d = 530 × 10 9 m ( ) 5.00 m 1.00 × 10 4 m = 2.65 cm 5.2: We cannot use the small-angle approximation for an angle this large. Use equation 5.16: sin θ = ± 100 λ d = ± 100 589 × 10 9 m 1.00 × 10 4 m = ± 0.589 giving θ = ± sin 1 (0.589) = ± 36.1 Use a tangent to find the separation, Δ y = 2 L tan(36.1 ) = 2(5.00 m )tan(36.1 ) = 7.29 m 5.3: Use equation 5.16 with sin θ = 1 : m max = d λ = 1.00 × 10 4 m 589 × 10 9 m = 169.8 Rounding down will fit within the tolerance window. (In fact rounding up or down will still fit within the tolerance window.) Problem 5.4 : Use equation 5.8: I = I 1 + I 2 + 2 I 1 I 2 cos δ = 3 I 2 + 2 2 I 2 cos δ giving a fringe minimum that is 2.94% of the fringe maximum (as compared to the case I 1 = I 2 , where the fringe minimum is 0% of the fringe maximum). Problem 5.5: If the slab is placed over the top slit, the optical path length is increased for the distance r 1 in Figure 5.3. This will shift the pattern
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern