P1051W07 - Circle instructor: Poduska or Morrow 1 Lab...

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Unformatted text preview: Circle instructor: Poduska or Morrow 1 Lab period: Final Exam Na e: Student fiumber: MEMORIAL UNIVERSITY OF NEWFOUNDLAND DEPARTMENT OF PHYSICS AND PHYSICAL OCEANOGRAPHY Physics 1051 Winter 2007 April 2007 INSTRUCTIONS: 1. 10 Do all TEN (10) parts in section 1 and all FIVE (5) questions in section 2. Do TWO questions from section 3. Marks are indicated in the 1 marks, Section 2 contains 50 marks, and section 3 con accordingly. You may use a calculator. All other aids are prohibited. tmargin. Section 1 contains 20 ains 30 marks. Budget time i Write answers neatly in space provided. If necessary, icontinue onto the back of the page. Do not erase or use “whiteout”. Draw a line neatly through material to be replaced. Assume all information given is accurate to 3 significant figures. Don’t panic. If something isn’t clear, ASK! SEE LAST PAGE FOR SOME POTENTIALLY USEFUL F ORMULAE AND CO For office use on] : NSTANTS [0 Circle instructor: Poduska or Morrow N 6: Lab period: Student umber: SECTION 1: There are 10 multiple choice questions. Each question is worth 2 marks for a maximum of 20 marks. Answer in the boxes next to each part. by an external oscillating force. If the natural frequency of the mass/spring system la) A lightly damped mass/spring system is observed to oscillate at 5 Hz when driven is 3 Hz, what is the oscillating frequency of the external force? E, A. 2H2 B. 3H2 C. 5H2 D. 8H2 lb) To describe the oscillatory motion of a physical pendulum, which combination of variables would yield a plot with a straight line? A. Period vs. distance from centre of mass B. Period vs. moment of inertia C. Period vs. accleration due to gravity D. Period vs. mass. 1c) The figure below shows a Fast Fourier Transform (FFT) sound spectrum of a tube filled with air. Which one of the following statements is true? A. The FFT spectrum is consistent with a tube that is closed at both ends. B. The FFT spectrum is consistent with a tube with one open end and one closed end. C. The FFT spectrum is consistent with a tube that is open at both ends D. There is not enough information to decide. 0 100 200 300 400 Frequency (Hz) Intensity 1d) Which one of the following can be classified as a longitudinal wave? D A. The vibration of a guitar string. B. The pressure wave produced by a vibrating guitar string. C. An electromagnetic wave. D. A water wave 1e) Which one of the following is a vector quantity? :1 A. Electric potential B. Current C. Torque D. Polarization angle Circle instructor: Poduska or Morrow 3 N ame: Lab period: Student Number: If) Which one of the following statement about conductors is FALSE? :1 A. The electric field inside a conductor depends on the magnitude of charge it holds. B. Excess electric charge resides on the surface of a conductor. C. Electric field lines are perpendicular to the surface of a conductor. D The charge density at the surface of a conductor depends on its shape. A. The Biot-Savart law. B. The right—hand rule. C. Maxwell’s equations. D. Malus’ law. lg) Physicists can calculate the speed of electromagnetic anes from l:l lh) A point charge +q is placed at the centre of a conducting spherical shell with inner radius r and outer radius R. Which of the following statements is FALSE? [:l A. The magnitude of the flux passing through the conducting shell —q- . 80 B. The direction of the flux is toward the centre of the sphere. keq d2 C. The electric field at a point d < r( i.e. inside the shell) is keq d2 ' D. The electric field at a point (1 > R (i.e. outside of the shell) is 1i) Two polarizers are arranged in a line such that sunlight cannot pass through both. Which one of the following will NOT increase the amount of light passing C] through both polarizers? A. Removing the first polarizer. B. Rotating the optical axis of the second polarizer by 10 degrees. C. Placing a third polarizer, with an optical axis of 10 degrees relative to the first polarizer, between the first two polarizers. D. Shining laser light on the polarizers instead of sunlight. l j) A beam of white light is incident on a drop of water and produces a rainbow. Which statement below is FALSE? A. The speed of light in water is different for different wavelengths of light. B. Some light is reflected when it hits the water droplet’s surface. C. Some light is refracted when it hits the water droplet’s surface. D. The frequency of the light traveling in air is different than its frequency while traveling 1n water. Circle instructor: Poduska or Morrow 4 N ame: Lab period: Student Number: SECTION 2: D0 ALL five (5) questions. Each question is worth 10 marks for a maximum of 50 marks. [10] 2. (a) A simple pendulum of mass 20.0 g is suspended from the ceiling by a thin string of length 1.0 m. The pendulum is pulled away from its eQuilibn’um position, to increase its height by 10.0 cm, and released. The angular positioniof the pendulum vs. time is given by 3 (9(t) = 6m cos(a)t + ¢). (i) What is the period of oscillation? (ii) What is the maximum speed of the pendulum? (iii) What is the phase constant (1) if the mass passes through its lowest point at t=0? (b) If the simple pendulum in part (a) is replaced by a Liniform rod of length 1.0 m, mass of 20.0 g, and moment of inertia about its end of 6.66>l<10‘3 kg - m2, what is the resulting period of oscillation? ‘ Circle instructor: Poduska or Morrow 5 Name: Lab period: Student Number: [10] 3. Two strings of equal length are clamped at each end and are under the same tension. The first string has a mass of 40.00 g and vibrates at a frequency of 440 Hz. The second string is slightly heavier so that, when the two strings are plucked simultaneously, beats with a period of 0.25 s are heard. a. Briefly describe why beats are heard in this situation. b. What is the vibrational frequency of the second string? c. What is the mass of the second string? I i. i l l i g g i i; 2 E; Circle instructor: Poduska or Morrow 6 Name: Lab period: Student Number: [10] 4. A uniform electric field in a particular region may be written as 1A 2 A A E=2.0V/m -——i-—— '+k . iii a“ )i (a) List the components of E . (b) Calculate the magnitude of the electric field. (c) A cylinder of radius R = 10.0 cm is located in this uniform field with its top surface centred at the origin and lying on the x-y plane as shown. Calculate the electric flux through this surface (i.e. the top surface of the cylinder which is shown as shaded in the figure). Circle instructor: Poduska or Morrow 7 Name: Lab period: Student Number: [10] 5. Two infinitely long parallel wires carry current into the page as shown. Wire 1 is atx = 0 cm, y = +5.0 cm and carries a current I] = 5.0 A. Wire 2 is at x = 0cm, y = —5.0 cm and carries a current 12 = 3.0 A. (a) Calculate the magnitude and direction of the total magnetic field at the point P located at x = 0 cm, y = -10.0 cm. (b) Calculate the magnitude and direction of the magnetic force that a 2.0 metre long section of wire 2 exerts on a 2.0 metre long section of wire 1. ~ I 0.0 cm Circle instructor: Poduska or Morrow 8 Name: Lab period: Student Number: [10] 6. Two sliding metal bars of length l = 20.0 cm are moving along two parallel rails, in opposite directions, with constant speeds of v = 0.5 m/s, as shown in the figure below. The rails are located in a uniform magnetic field with a magnitude 0.15 T that is directed into the page as shown. (a) Calculate the rate of change of the magnetic flux within the loop formed by the sliders and the rails. (b) If the current flowing through each slider is 0.25 A, calculate the total resistance of the loop. (c) In what direction does the current flow? Indicate this clearly on the diagram and briefly justify your answer. memmwmmflwmvmmmw. “h. . . ’EWKWKGWWWW Circle instructor: Poduska or Morrow 9 Name: Lab period: Student Number: SECTION 3: Do TWO (2) of the three questions. Each question is worth 15 marks for a total of 30 marks. Indicate clearly the one question that you do not want marked by drawing a line through it (don’t erasel). [15] 7. A charge 3Q is distributed uniformly on rod of length 2a which is located on the y—axis with its centre at the origin as shown below. (a) What is the linear charge density on the rod? (b) Calculate the electric field at a point P located on the y-axis a distance a from the origin. Start your calculation with the contribution to the field at P due to a small element of charge and then integrate to find the electric field at P due to the entire charge. Hint: integrals are given on the formula sheet. (0) If the entire charge, 3Q , was concentrated in a point located at y = -a on the y-axis, would the resulting electric field at P be greater or smaller than the electric field due to the rod that you calculated in part (b)? Justify your answer. ‘7 ImngflgwEWM'mwimmwvmaqw~m...~...<.rHA . a. Circle instructor: Poduska or Morrow 10 Name: Lab period: Student Number: [15] 8. A long straight wire carrying a current I I = 3.0 A lies in the plane of a rectangular loop which carries a current I2 = 5.0 A . Referring to the figure, the dimensions of the loop are l = .60 m and a = 0.25 m. The distance between the left edge of the loop and the long wire is c = 0.2 m. (a) On the diagram, show the direction of the average magnetic force on each of the sides of the loop caused by the magnetic field created by the long wire. (b) Calculate the net force on the loop due to the I, magnetic field created by the long wire. (c) Calculate the net torque on the loop due to the magnetic field created by the long wire. Q 2906 maven 7W «x, we»... Circle instructor: Poduska or Morrow 11 Name: Lab period: Student Number: [15] 9. (a) In Young’s double slit experiment, light from a single monochromatic (single wavelength) source passes through a pair of slits (i.e. a double slit) and produces an intensity pattern, on a distant screen, consisting of a series of equally spaced bright and dark bands. Briefly explain the origin of these bands. (b) In Young’s double slit experiment, the light from a laser of unknown wavelength A produces fringes on a screen 3.4 m away. If the distance between 16 successive maxima (8 on each side of the central maxima) is measured to be 16.8 cm, calculate the wavelength of the light. The slits are 0.21 mm apart. (0) If the slits are moved closer together (and the screen remains at the same distance), would the maxima move closer together or further apart? Justify your answer. i<»mwwm.wm Mic-1’.)an Circle instructor: Poduska or Morrow Name: Lab period: Some Potentially Useful Formulae: dzx — M A dig ='-(U2X F12:ke ;22 r12 kzgz— ,1 r (0:22.— Ezke T i ’} v: 2 _. f EzkeI—dif 7 k.. r (0,: spring a _ m cI>E=jE-dA 2 g a) :- qinsne L (DE: 8d 0 w2:mgd 1 v=hi T r v: — __ i [a V—kei rt 82y lazy —2.='—2 2 V=k. 451' ax v at t r B AV=VB—VA =—jE-d§ A dsinfi bright =m/1 (m 20,1,2...) 12 Student Number: U2=k qlqz 1 e Equations of Electromagnetism (Maxwell’s Equations): ‘ " _ qinsi e cfE-dA— 80“ {B-dfiw Physical constants: k“: l =8.9()><109N-m2/Cl 47I£0 £0 =8.85x10‘” Cz/N-m' Mathematical formulae A . B = ABCOSB = A.th + AyBy + AZBZ [AxéleBsina ij=lE j'xlng lEXi: x1}=( FBI—AIR dch 45:“:- dt zj‘E-dE=#OI+,u080——— ,uo =47rx10‘7 T-m/A , e=1.602x10“" C d":£0_1d§ 47: fl:/~‘olilz 1 27m {B-fizyol c1>3=j1§ dA £=_Nd<DB dz 1 c- Vgoluo Emax:CBmax 27: A = —— 6 ¢ (A) 6=dsin6 C n:— V dCDE dz me =9.11><10‘31 kg c = 2.99><108 m/s mums-._w-cm._t_.. H, ...
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This note was uploaded on 03/08/2012 for the course PHYSICS 1051 taught by Professor Michaelmorrow during the Winter '12 term at Memorial University.

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P1051W07 - Circle instructor: Poduska or Morrow 1 Lab...

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