{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

Midterm 1 Solutions

# Midterm 1 Solutions - Version 019 Midterm 01 Yao(57045 This...

This preview shows pages 1–3. Sign up to view the full content.

Version 019 – Midterm 01 – Yao – (57045) 1 This print-out should have 11 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points Light strikes the surface of a prism, n = 1 . 61, as shown in the figure. 45 If the prism is surrounded by a fluid, what is the maximum index of refraction of the fluid that will still cause total internal reflection within the prism? 1. 1.13844 2. 1.26572 3. 1.28693 4. 1.25158 5. 1.18087 6. 1.11016 7. 1.16673 8. 1.31522 9. 1.06773 10. 1.33643 Correct answer: 1 . 13844. Explanation: Basic Concept: sin θ c = n r n i Given: n i = 1 . 61 θ c = 45 Solution: sin θ c = n r n i n r = n i (sin θ c ) = 1 . 61 (sin 45 ) = 1 . 13844 002 10.0 points Hint: Use a small angle approximation; e.g. , sin θ tan θ θ and cos θ 1 . Consider the setup of double-slit experiment in the schematic drawing below. Note: As can be seen in the figure below, one of the double-slit interference maxima is located at the first single-slit diffraction minimum. a d y L S 1 S 2 θ viewing screen Determine the ratio d a ; i.e. , the slit separa- tion d compared to the slit width a . 1. d a = 9 2 2. d a = 7 2 3. d a = 5 4. d a = 3 2 5. d a = 3 correct 6. d a = 1 7. d a = 11 2 8. d a = 2

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

View Full Document
Version 019 – Midterm 01 – Yao – (57045) 2 9. d a = 4 10. d a = 5 2 Explanation: At y there is a minimum for single-slit diffraction and a maxima for double-slit in- terference, as noted in the question . The first minimum for single-slit diffraction occurs when sin θ = λ a , (1) and the maxima for double-slit interference occur when sin θ = ( m ) λ d . (2) The first diffraction minimum for single-slit diffraction and the third double-slit interfer- ence maximum ( m = 3) occur at the same position y , as seen in the figure below. m 0 3 Figure: The dashed curve on the left of the screen is due to single slit interference. The dashed curve on the right of the screen is due to double slit interference. The screen position is zero amplitude and the positive direction is reflected on ei- ther side of the screen.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### What students are saying

• 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.

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

• 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.

Dana University of Pennsylvania ‘17, Course Hero Intern

• 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.

Jill Tulane University ‘16, Course Hero Intern