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Unformatted text preview: IPhO2001experimental competition Experimental Competition Saturday, June 30 th , 2001 Please read this first: 1. The time available is 5 hours for the experimental competition. 2. Use only the pen provided. 3. Use only the front side of the paper. 4. Begin each part of the problem on a separate sheet. 5. For each question, in addition to the blank sheets where you may write, there is an a nswer form where you must summarize the results you have obtained. Numerical results should be written with as many digits as are appropriate to the given data. 6. Write on the blank sheets of paper the results of all your measurements and whatever else you consider is required for the solution of the question. Please use as little text as possible ; express yourself primarily in equations, numbers, figures and plots. 7. Fill in the boxes at the top of each sheet of paper used by writing your Country no and Country code, your student number ( Student No .), the number of the question (Question No.) , the progressive number of each sheet (Page No.) and the total number of blank sheets used for each question (Total No. of pages). Write the question number and the section label of the part you are answering at the beginning of each sheet of writing paper. If you use some blank sheets of paper for notes that you do not wish to be marked, put a large X across the entire sheet and do not include it in your numbering. 8. At the end of the exam, arrange all sheets in the following order; • answer form • used sheets in order • the sheets you do not wish to be marked • unused sheets and the printed question Place the papers inside the envelope and leave everything on your desk. You are not allowed to take any sheets of paper and any material used in the experiment out of the room. IPhO2001experimental competition ROTATING LIQUID This experiment consists of three basic parts: 1. investigation of the profile of the rotating liquid’s surface and the determination of the acceleration due to gravity, 2. investigation of the rotating liquid as an optical system, 3. determination of the refractive index of the liquid. When a cylindrical container filled with a liquid rotates about the vertical axis passing through its center with a uniform angular velocity ϖ , the liquid’s surface becomes parabolic (see Figure 1). At equilibrium, the tangent to the surface at the point P( x, y ) makes an angle θ with the horizontal such that R x for g x tan ≤ ϖ = 2 θ (1) where R is the radius of the container and g is the acceleration due to gravity. It can further be shown that for ϖ < ϖ max (where ϖ max is the angular speed at which the center of the rotating liquid touches the bottom of the container) at x=x = 2 R , y(x )=h (2) that is; the height of the rotating liquid is the same as if it were not rotating....
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This note was uploaded on 11/08/2011 for the course PHYS 0000 taught by Professor Na during the Spring '11 term at Rensselaer Polytechnic Institute.
 Spring '11
 NA

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