2005_Prelim_1 - Physics 214 PRELIM I (March 8 from...

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Physics 214 PRELIM I (March 8 from 7:30-9:00 ) Name : _______________________________________ Signature: _______________________________________ Section # and TA: ________________________________ Total number of pages: 12 Score: I II III IV Result This examination is closed books and closed notes . NO calculators are permitted . A formulae sheet is provided. Use the provided space after each question for your answers. The first part consists of a few simple questions, and no partial credit will be given. Part II, III, IV are problems for which you have to show the work done arriving at the answer. Partial credit will be given for these answers. The perfect score of the exam is 100. The point value of the problem is given in the parenthesis next to the problem. Please put your name on each page. By signing this exam you certify to adhere to the Cornell academic integrity code.
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Part I: Short answer questions (40 points – 5 points each) You do not need to show work. No partial credit. 1. Which wave is a solution of the wave equation 2 x 2 y ( x , t ) = 1 v 2 2 t 2 y ( x , t ) (A) y(x,t) = f(x-vt)g(x+vt) (B) y(x,t) = A [sin(x-vt)] 3 , where A is a constant (C) y(x,t) = f(x) g(x-vt) (D) y(x,t) = A e ik(x-vt) , where A is a complex number and k is a real number (E) none of the above 2. Which of the following is true (A) sin(kx- ω t+ φ ) = [e i(kx- ω t+ φ ) + e -i(kx- ω t+ φ ) ]/2 (B) sin(kx- ω t+ φ ) = [e i(kx- ω t+ φ ) - e -i(kx- ω t+ φ ) ]/2i (C) sin(kx- ω t+ φ ) = [e i(kx- ω t) - e -i(kx- ω t) ] e -i φ /2i (D) sin(kx- ω t+ φ ) = [e i(kx- ω t+ φ ) + e -i(kx- ω t+ φ ) ]/2 (E) none of the above. 3. A string has the wavevelocity v and displacement y(x,t). What is the acceleration of a segment on the string? (A)
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This note was uploaded on 10/19/2008 for the course PHYS 2214 taught by Professor Giambattista,a during the Fall '07 term at Cornell University (Engineering School).

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2005_Prelim_1 - Physics 214 PRELIM I (March 8 from...

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