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# GENERAL PHYSICS II PHYS 202

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This 22 page Class Notes was uploaded by Violet Purdy on Monday October 26, 2015. The Class Notes belongs to PHYS 202 at University of South Carolina - Columbia taught by Staff in Fall. Since its upload, it has received 8 views. For similar materials see /class/229643/phys-202-university-of-south-carolina-columbia in Physics 2 at University of South Carolina - Columbia.

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Date Created: 10/26/15

Physics 202 Third Exam March 29 2007 Ignore the sign of the answer Answer e is to be used as none ofthe above cannot be answered etc You may not have a cell phone or any electronic device other than a nonprogrammable calculator with one memory and two pencils at your desk during the exam You may not have any paper even blank paper or notes at your seat You are to take your test questions home with you and only submit your answer sheets The 2 direction is out of the paper toward your face and x is to your right y up the page 1 Consider a circuit with L 4 R 3 and V6 in series and connected at time t0 by closing a switch Then the time constant is a 075 b 05 c N 133 d 19 2 In the last problem what is the current at atime oft 4 a 075 b 133 c 05 d 9 L If the battery is suddenly removed and replaced by a conducting wire will the current instantly go to zero a yes b Nno c it cannot be decided 4 Consider a circuit with L 5 and C6 connected in series with the capacitor charged and no current owing at time t0 What is the angular frequency a N 018 b 12 c 548 d 544 UI In the last problem what is the frequency a 12 b N 0029 c 34 d 0554 O In the last problem what is the period a 12 b N 34 c 0029 d 0554 7 Consider a convex spherical mirror with a radius of curvature of R4 What is the focal length a l b N 2 c 4 00 If a convex mirror has a focal length of 5 and an object of height 2 is a distance of 30 away from the mirror then what is the image distance a 5 b 2 c 10 d N 6 9 What is the height ofthe image a 5 b N 02 c 2 d 05 10 Is the image a real and erect b N virtual and erect c real and inverted d virtual and inverted N LA 4 UI ON 00 O What is the height ofthe image a N 133 b 075 c What is special about Brewster s angle a N it is polarized If a thin convex lens has a focal length of4 and an object of height 4 is a distance of 16 away from the lens then what is the image distance a 01875 b 0 1993 c N 533 d 643 15 d 2 Is the image a real and erect b virtual and erect c N real and inverted d virtual and inverted EM radiation of wave length 3 mm impinges upon two slits openings in a at surface a distance of 9 mm apart What is the angle to the second destructive dark band a 20 b N 30 c 40 d 375 In the last problem what is the angle to the first constructive white band away from the central bright point aN 19 b 22 c 24 d 32 If the velocity of light in a clear substance is 2E8 then what is the index of refraction ofthat substance a 066 b N 15 c 075 d 033 For a substance of index of refraction of 2 what is the critical angle for total internal re ection a 10 b 15 c N30 d 42 b it is scattered c it is diffracted d it is refracted A length of4 m is moving by you at a velocity of 29999E8 What is the observed length ofthe object a 4 b 133 c N 033 d 003 What is this called a Time dilation b N Lorentz contraction c Doppler effect d Einstein shortening If a clock on this object has an elapsed time of 25 seconds how much time elapses to you as you observe it passing a N 3062 b 025 c 033 d 344 What kind of particles have negative energy a tachyons b N antimatter c What is this called a N Time dilation b Lorentz contraction c Doppler effect d Einstein shortening Ifa mass of5 kg is moving at this speed what is its total energy a N 55El9 b 43E18 c 43El9 d 43E20 What is its relativistic momentum a 36Ell b 63Ell c N 18Ell d 4Ell What is the rest energy in Joules ofa mass of5 kg a 5El6 b 5E18 c 45E20 d N45El7 Which was not one of Einstein s three assumptions in building the theory of special relativity a equations of physics are the same in all inertial frames b c constant independent of the motion of the source and observer c N acceleration and gravitation are indistinguishable d the relationship between space and time of two moving frames is linear What famous generally accepted law was proven wrong by general relativity a F ma bNFGmMrA2 c pmv dEch2 What experiment was critical to proving that general relativity was correct a N the bending of starlight by the sun b the elevator experiment c the rotating platform experiment d the atomic nuclear bomb What kind of particles go faster than the speed of light a mass zero particles b antimatter c Ntachyons d d For a prism is the red light bent a the most b Nthe least c it varies d the same amount of bending For a rainbow which is higher in the sky green or blue a N green b blue c it varies d they are at the same height Physics 202 First Exam February 6 2007 Ignore the sign of the answer Answer e is to be used as none ofthe above cannot be answered etc You may not have a cell phone or any electronic device other than a nonprogrammable calculator with one memory and two pencils You may not have any paper even blank or notes at your seat You are to take your test questions home with you and only submit your answer sheets The 2 direction is out of the paper toward your face and x is to your right y up the page towards the top Consider two charges A of 5 C located on the y axis at y 4m and B of5 C located at y 4m 1 What is the force between the two charges a 156 k b 125 k c N 039 k d 08 k N What is the dipole that they constitute a N40 b 20 c 120 d 140 E What is the direction ofthis dipole a y b N y c 2 d z 4 What is the magnitude of the electric eld in the center of the two charges a 35 k b 125k c 25k d N 0625k V39 What is the direction ofthe electric eld at that point a N y b y c x d x 05 If a sphere of radius 3 m is centered on the A charge then what is the ux thorough the sphere a 380 b N 580 c 380 d 580 gt1 If an electric eld of E 12 is 25 degrees away from the y axis toward the x axis then what is the torque on the dipole a 435 b 466 c N 203 d 462 9 What direction is the torque a into test paper b N out of test paper c y d y 9 What is the electric potential at the point y8 due to the two charges above a 038 k b 45 k c 045 k d N 083 k 10 What is the magnitude of the potential energy of the system in problem a 4 k b N3k c2k d1k 11 Is this number a positive b N negative N LA 5 UI ON 00 O N O N What is the power loss in the last problem What is the electric eld 8 m from an in nite straight line of charge when there is 12 Coulombs permeter a 067k b 15k c N3k d 6k If a parallel plate capacitor has plates of area 5 m2 and are 8 m apart what is the capacitance ofthe system if it has a charge of 20 C a 4080 b 4080 c 16 80 d N 0625 80 What is the strength of the electric eld inside the capacitor in the last problem a 280 b N480 c 880 What is the strength of the electric eld a distance 05m outside of this parallel plate capacitor a 280 b 480 c 880 d N 0 If a charge of 33 C is placed on a capacitor of voltage 3 V what is the capacitance of the system a N 11 b 99 c 033 d 01 How much energy is stored in the system in the last problem a 99 b 33 c N 495 d 4235 If a dielectric material of value 35 is inserted fully into this parallel plate capacitor lling the area between the plates then what is the new capacitance a 314 b N 385 c 1155 d 754 If a voltage of 12 V is applied to a resistor of 6 Ohms for 2 seconds what is the resulting current a1 b 4 c 12 dN2 aN24 b12 c4 d2 What is the resistance of the system shown with a 12 Ohm resistor in parallel with a 4 Ohm and 8 Ohm set in series a 32 b 48 c 96 d N 6 What is the capacitance of the system shown with a 12 Farad capacitor in parallel with a pair of4 Farad and 8 Farad in series a N 1467 b 125 c 83 d 38 23 N If the resistively of tungsten 60E8 then what is the resistance of a wire of radius 4cm and a length of70 m a 72E8 b 72E4 c N 84E4 d 72E2 If the resistivity in the last problem is taken at 20 degrees Celsius and the temperature is raised by 70 degrees Celsius with a temperature coef cient of resistivity of 4E3 then what is the new resistivity a N 768E8 b 667E8 c 1400 d 28E2 25 Consider two vectors A 123 and B 402 What is the length of A a 73 b 43 c 28 d N 37 26 What is their dot product a 6 b N 10 c 8 d 12 N N N LA LA LA What is the angle between them a 52 b N 53 c 47 d 46 What is the value of so a 889El2 b 886El2 c N 884El2 d 881El2 Who identi ed lightning as being an electrical current in nature a N Franklin b Gauss c Coulomb d Ampere Who used a torsion balance in their work a Franklin b Gauss c N Coulomb d Ampere Whose law can be used to compute the value of the electric eld for situations where the geometry is highly symmetric and simple a Franklin bN Gauss c Coulomb d Ampere Where does the charge accumulate on a charged conducting surface a uniformly with the same charge density b greater charge density in areas of small curvature ie atter c N greater charge density in areas of high curvature d it cannot be determined without knowing the total charge density and the area Mathematics Background I The number system Be able to perform all A operations with all types AIntegers 1 Positive integers counting l 2 3 Know ab aquotb 2 Negative integers inverse addition 1 2 3 from 3 X 0 or X 3 3 Zero for a long time this was not a number B Rational numbers ab ratios of integers from inverse division a X 1 or Xla C Irrational numbers from inverse eXponentiation ab such as 212 also TE e I D CompleX numbers also from inverse eXponentiationl12 i l imaginary numbers and compleX values a ib 2 With infinity the compleX numbers close under all operations E Infinity Cantor concept of l to 1 matching 1 Infinity of counting 123 Note same value as even integers aSame as the infinity of rational numbers ab 2 Infinity of real numbers 1 3 Infinity of functions F Scientific numbers 123456E3 123456 1 103 123456 G Uncertain numbers numerical uncertainty or fuzzy numbers 123 123777 H Order of magnitude numbers 2E32 or maybe just 1E32 and calculations II Some milestones of the last century A 1900 Russell amp Whitehead Principles of Mathematics laid the foundations of mathematics with logic and arithmetic using Boole s logic of 1820 B Godel theorem There are some algebraic problems that are undecidable C 1945 John von Neumann stored program digital computer D 1948 Shannon Information defined as log2P III Prefixes see text Kilo Mega Giga Tera Peta Exa Centi Milli Micro Nano IV The Greek alphabet useful to know and recognize aBySSQnGLKkuv onpotooxum III V Supporting concepts in Logic A Special notations 1 There eXists 2 Member of 3 Such that 4 Implies 5 For all 6 lsomorphic 11 7 Set s 8 Equality and not equal 9 Greater than gt less than lt 10 Includes B Logic 1 Elements 1 0 or T F 2 Operations AND OR NOT NOR NAND EQV l6 operatons 3 VI Basic Algebra AEquations Solve by doing the same thing to both sides of an equation B Powers add Xa xb XW Xab W C Factoring X2 y2 xyXy D Quadratic Equation solutions ax2 bX c 0 E Linear equations y mxb gives b as intersection at x0 and mslope F Simultaneous equations solution is intersection GLogarithms log a log b log ab and log a log b log ab l y logaX implies X ay 2 socioeconomic variables population electric use are eXponential 3 ratios of socioeconomic variables are relatively constant VII Geometry AAngular degrees amp radians 9 sr BArea amp volume 1 Rectangle amp rectangular solids parallelogram area 2 Triangle 3 Circle C27 r A Tl r2 Sphere A 4 TI r2 V 43 Tl r3 4 Cylinder base area height VIII Trigonometry ABasic triangle X y r sin 9 yr cos 9 Xr tan 9 yX sin 9 cos 9 B sin2 9 cos2 9 1 amp review your trig identities Ceie cos9isin9 alsozuivreie rcos9irsin9 DreVieW your hypergeometric functions ch sh th IX Series expansions Aex 1X X22 x33 x44 BloglX x XZz x33 C sin 9 1 X33 65 and cos 9 1 x22 x44 DBinomial series a bn an n an391gtb nnl a0 b22 E Taylor series XCalculus A Define velocity Vt and acceleration at from position rt l dim amp 3 dim BUse constant a a0 to get standard equations for esp a g acceleration of gravity XI Scalars Vectors Matrices Tensors A Scalar Specified by a single real number time temperature mass volume energy BVector An ordered ntupe of real numbers x y z or x1 x2 x3 eg l50 l The dimensionality of a space is the number of numbers needed to specify a point 2 A vector in that space has exactly that many ordered numbers in its specification 3 Examples are position velocity acceleration force momentum C Matrix A two dimensional array of numbers CU Where i is the row and j is the column 1 A matrix is often used to perform a linear transformation on a vector or to solve a set of simultaneous linear equations ltexample of rotationsgt DA scalar is a tensor of rank 0 a vector is a tensor of rank 1 a matrix is a tensor of rank 2 E Operations with vectors l Graphical as used in high school 2 i j k unit vectors as used in some engineering texts do not use this notation 3 r X y z or X1 X2 X3 or simply as Xi or for example 3 2 5 4 Addition subtraction multiplication by a scalar ltexamplesgt 5 Scalar product AB A B cos 9 ltexamplesgt XII Units A The value for a physical quantity is normally a quantity real number of fundamental units that constitute the quantity such as 12 ft 4 m 135 s or 98 2 ms B The fundamental units length meter m time second s mass kilogram kg 1 Kilogram The mass of a specific platinumiridium alloy cylinder in Paris 2 Second 9192631700 oscillations of radiation from cesium 133 since 1967 aBefore 1960 was 1 86400 of average solar day 3 Meter The distance light travels in 1299792458 s since 1983 aOriginally 107 of the distance from the equator to the north pole 1799 b Until 1960 the distance between two lines on a platinum iridium bar in Paris cln 1960 was defined as the 165076373 wavelengths of Krypton 86 light 9 C English Units foot inch hand yard cubit fathom mile acre also day hour min DAdditional units are needed to measure electrical current Ampere A temperature degrees Kelvin K and brightness candela cd E Dimensional analysis only add amp subtract units of the same type apples to apples 1 Examples of lengths masses times velocity of light 3E8 ms amp sound 1100 ft sec Physics 202 Second Exam Februagy 27a 2007 Ignore the sign of the answer Answer e is to be used as none ofthe above cannot be answered etc You may not have a cell phone or any electronic device other than a nonprogrammable calculator with one memory and two pencils at your desk during the exam You may not have any paper even blank or notes at your seat You are to take your test questions home with you and only submit your answer sheets The z direction is out of the paper toward your face and X is to your right y up the page N E 4 V39 0 gt1 9 gt0 What is the numerical value of HO a 80 b N41 E7 c 1 80 d 41 The equation that gives the force on an electric charge moving in a magnetic eld is associated with what name a Biot amp Savart b Faraday c N Lorentz d Ampere The equation that is associated with the magnetic eld generated by a segment of current is associated with what names a Faraday b Lorentz c Gauss d N Biot Savart e Einstein Whose equation enables one to compute the magnetic eld for highly symmetric cases as one can do for the electric eld using Gauss law of electric elds a N Ampere b Gauss c Faraday d Lorentz A loop of wire is in the xy plane in a circle of radius 2 m and carries a current of 7 Amps moving from the X to the y axis directions What is the magnetic moment ofthis loop a 14 1 b 56 1 c N28 1 d 21 What is the direction of the magnetic moment a z b N z c y d y What is the torque on this magnetic dipole in a magnetic eld B5 at an angle away from the dipole of25 degrees a 168 b 137 c 141 d N 186 If a sphere of radius 44m surrounds this dipole what is the total ux through the cube a N0 b 441 c 21 d l 441 If an in nite straight wire is horizontal directly in front of you and carries a current of 9 Amps owing from your right to your left X direction then what is the magnetic eld at the end of your nose which is 4 meters away from the wire a 54E7 b 23E6 c N 45E7 d 76E7 O N LA 4 UI ON 00 N O N What is the direction of the magnetic eld at your nose How much energy was originally stored in the inductor a 4977 b 12040 c What is the output current in amps a N 15 b 72 a 7y downward on your face b N y upward on your face c 7X left d X right Ifa 2 m segment ofwire carries a current of8 Amps at an angle of 50 degrees from a magnetic field of B 4 then what is the force on the segment Assume that the current goes away from the place where it crosses the magnetic field a 0 b 64 c 46 d N49 If a negative charge is moving to your right X direction and a magnetic field is coming out of the test page toward your face Z then what is the direction of the force a 7y down the page b N y up the page c 7X left d X right Imagine you are in a room with a uniform magnetic field of 10 T toward the front of the room There is a rectangle of wire one strand measuring 2 m by 7 m at an angle of 35 degrees for its normal with the magnetic field What is the ux through the loop a 140 b 1140 c N115 If this coil turns at a rate where the angle increases to 90 degrees in 8 seconds then what is the emf generated by the system a 1244 b 387 c 3877 d N 143 Whose law is applicable to this last problem a N Faraday s b Amperes c Gauss d Henry What is the value the reciprocal of the square root of the product of so and Ho a 1c b1 c Nc d1E7 Which of the following has the shortest wave length a N blue b orange c short wave radio d microwaves If an inductor of 6 Henries with a square cross section of 4 m2 has a current of 36 Amps change to 16 Amps in a time of 2 seconds then what voltage results from this change a N 60 b 30 c 120 d 0 3888 d 2111 A transformer has an input of 6 amps and 18 volts on the input side with 100 turns and the output side has 400 turns What is the output voltage a 18 b c 36 d 64 N72 c 14 d 36 2 N N N L N 4 What is the output power a 36 b 0 c 445 d N 108 Compute using the rst two terms sin25 a N 02474 b 02495 c 0247404 d 026 Which of the Maxwell equations was modi ed by Maxwell a Gauss b Faraday c Lenz dNAmpere In a comparison between the harmonic oscillator and the RLC circuit what does C correspond to in the mechanical equation a k b N lk c m d lm If such a system has an extremely small R then it would be called a overdamped b critically damped c Nunderdamped d in nitely damped Answer the following for green light which has a frequency of 6El4 27 28 What is its wave number a 1944E8 b 1944E7 c What is its period a 2El4 b 18El4 c 36E15 d N 167E15 What is its angular frequency a N 377E15 b 477E15 c 42El3 d 388E 15 126E7 d 19E5 What is its wave length a N 5E7 b 7E5 c 6E6 d 7E7 If its maximum magnetic eld is 3E4 T then what is the maximum electric eld a 30000 b 10000 c 27E5 d N90000 What is the ratio of the energy stored in its electric to its magnetic eld a 0 b Nl c 2 d l2 Physics 202 Third Exam March 29 2007 Ignore the sign of the answer Answer e is to be used as none ofthe above cannot be answered etc You may not have a cell phone or any electronic device other than a nonprogrammable calculator with one memory and two pencils at your desk during the exam You may not have any paper even blank paper or notes at your seat You are to take your test questions home with you and only submit your answer sheets The 2 direction is out of the paper toward your face and x is to your right y up the page 1 Consider a circuit with L 4 R 3 and V6 in series and connected at time t0 by closing a switch Then the time constant is a 075 b 05 c N 133 d 19 2 In the last problem what is the current at atime oft 4 a 075 b 133 c 05 d 9 L If the battery is suddenly removed and replaced by a conducting wire will the current instantly go to zero a yes b Nno c it cannot be decided 4 Consider a circuit with L 5 and C6 connected in series with the capacitor charged and no current owing at time t0 What is the angular frequency a N 018 b 12 c 548 d 544 UI In the last problem what is the frequency a 12 b N 0029 c 34 d 0554 O In the last problem what is the period a 12 b N 34 c 0029 d 0554 7 Consider a convex spherical mirror with a radius of curvature of R4 What is the focal length a l b N 2 c 4 00 If a convex mirror has a focal length of 5 and an object of height 2 is a distance of 30 away from the mirror then what is the image distance a 5 b 2 c 10 d N 6 9 What is the height ofthe image a 5 b N 02 c 2 d 05 10 Is the image a real and erect b N virtual and erect c real and inverted d virtual and inverted N LA 4 UI ON 00 O What is the height ofthe image a N 133 b 075 c What is special about Brewster s angle a N it is polarized If a thin convex lens has a focal length of4 and an object of height 4 is a distance of 16 away from the lens then what is the image distance a 01875 b 0 1993 c N 533 d 643 15 d 2 Is the image a real and erect b virtual and erect c N real and inverted d virtual and inverted EM radiation of wave length 3 mm impinges upon two slits openings in a at surface a distance of 9 mm apart What is the angle to the second destructive dark band a 20 b N 30 c 40 d 375 In the last problem what is the angle to the first constructive white band away from the central bright point aN 19 b 22 c 24 d 32 If the velocity of light in a clear substance is 2E8 then what is the index of refraction ofthat substance a 066 b N 15 c 075 d 033 For a substance of index of refraction of 2 what is the critical angle for total internal re ection a 10 b 15 c N30 d 42 b it is scattered c it is diffracted d it is refracted A length of4 m is moving by you at a velocity of 29999E8 What is the observed length ofthe object a 4 b 133 c N 033 d 003 What is this called a Time dilation b N Lorentz contraction c Doppler effect d Einstein shortening If a clock on this object has an elapsed time of 25 seconds how much time elapses to you as you observe it passing a N 3062 b 025 c 033 d 344 What kind of particles have negative energy a tachyons b N antimatter c What is this called a N Time dilation b Lorentz contraction c Doppler effect d Einstein shortening Ifa mass of5 kg is moving at this speed what is its total energy a N 55El9 b 43E18 c 43El9 d 43E20 What is its relativistic momentum a 36Ell b 63Ell c N 18Ell d 4Ell What is the rest energy in Joules ofa mass of5 kg a 5El6 b 5E18 c 45E20 d N45El7 Which was not one of Einstein s three assumptions in building the theory of special relativity a equations of physics are the same in all inertial frames b c constant independent of the motion of the source and observer c N acceleration and gravitation are indistinguishable d the relationship between space and time of two moving frames is linear What famous generally accepted law was proven wrong by general relativity a F ma bNFGmMrA2 c pmv dEch2 What experiment was critical to proving that general relativity was correct a N the bending of starlight by the sun b the elevator experiment c the rotating platform experiment d the atomic nuclear bomb What kind of particles go faster than the speed of light a mass zero particles b antimatter c Ntachyons d d For a prism is the red light bent a the most b Nthe least c it varies d the same amount of bending For a rainbow which is higher in the sky green or blue a N green b blue c it varies d they are at the same height

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