Physics 1223 Exam: Electricity & Light
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Questions and Answers

What is the focal length of a diverging lens with a focal length given as -22 cm?

  • -22 cm (correct)
  • -20 cm
  • -30 cm
  • -40 cm
  • If a soap bubble has a thickness of 125 nm, which wavelength of visible light will be most strongly reflected?

  • 412 nm
  • 665 nm
  • 612 nm
  • 505 nm (correct)
  • Calculate the width of the central diffraction peak when using a wavelength of 440 nm, given that the width with 670 nm is 5 cm.

  • 5 cm
  • 3.81 cm
  • 4.5 cm
  • 3.66 cm (correct)
  • What is the angle of incidence when light traveling in air hits a liquid with an index of refraction of 1.25 and is fully polarized?

    <p>57.2°</p> Signup and view all the answers

    How far behind the second lens will an image appear when an object is placed 10 cm in front of the first of two converging lenses, each with a focal length of 30 cm?

    <p>81.2 cm</p> Signup and view all the answers

    What is the index of refraction of the glass in a diverging lens with surfaces having radii of curvature of 30 cm and 20 cm, and a focal length of -22 cm?

    <p>1.46</p> Signup and view all the answers

    What minimum diameter lens is required to resolve two moon craters that are 5 km apart from a distance of 3.84 x 10^8 m using 550 nm light?

    <p>5.1 m</p> Signup and view all the answers

    How many lines per centimeter are there on a diffraction grating if a laser beam of wavelength 633 nm produces a second order line at an angle of 56°?

    <p>6550</p> Signup and view all the answers

    What does the equation $I = nqvd A$ represent?

    <p>Current in a conductor</p> Signup and view all the answers

    Which of the following equations relates power and resistance?

    <p>P = I^2 R</p> Signup and view all the answers

    In the equation $D ext{ sin } θ = mλ$, what does $m$ represent?

    <p>The order of the fringe</p> Signup and view all the answers

    What is the role of $ρ$ in the equation $R = ρ(L/A)$?

    <p>It is the resistivity of the material.</p> Signup and view all the answers

    What is indicated by $C_{eq} = rac{1}{C_1} + rac{1}{C_2} + ...$?

    <p>Capacitance in series</p> Signup and view all the answers

    In the context of wave interference, $λ_0$ denotes what?

    <p>The initial wavelength</p> Signup and view all the answers

    Which equation describes the force on a charged particle moving in a magnetic field?

    <p>F = qvB sin θ</p> Signup and view all the answers

    What does the equation $V = IR$ signify in electrical circuits?

    <p>Ohm's Law</p> Signup and view all the answers

    What is the magnitude of the electric field at the third corner of an equilateral triangle with two point charges of 5 nC each, located at two corners and 50 cm apart?

    <p>436 N/C</p> Signup and view all the answers

    What is the speed of an electron moving in a circular path of radius 0.3 mm in a magnetic field of 35 mT?

    <p>3.08 x 10^6 m/s</p> Signup and view all the answers

    What is the power dissipated in each of the five 100 Ω resistors connected in parallel across a 12 volt battery?

    <p>0.640 W</p> Signup and view all the answers

    What is the root mean square value for the electric field in a laser beam with intensity of 600 W/m²?

    <p>514 N/C</p> Signup and view all the answers

    What is the critical angle for light in a glass with an index of refraction of 1.55 surrounded by water with an index of 1.33?

    <p>53.7°</p> Signup and view all the answers

    What is the angle of refraction for light incident on glass with a speed of 2.4 x 10^8 m/s at an angle of 32° in air?

    <p>20.7°</p> Signup and view all the answers

    How tall is the image of a 4 cm object placed 30 cm in front of a convex mirror with a radius of curvature of 50 cm?

    <p>1.54 cm</p> Signup and view all the answers

    How far is the object from the mirror if it is placed in front of a concave mirror with a radius of curvature of 40 cm and produces an upright, same-size image?

    <p>40 cm</p> Signup and view all the answers

    What is the value of the electrostatic constant k?

    <p>$8.99 imes 10^9$ N·m²/C²</p> Signup and view all the answers

    Which equation correctly represents the magnetic field B around a long straight wire carrying current I?

    <p>$B = \frac{\mu_0 I}{2 \pi R}$</p> Signup and view all the answers

    What is the value of the permittivity of free space ε₀?

    <p>$8.85 \times 10^{-12}$ F/m</p> Signup and view all the answers

    Which formula calculates the electric field E produced by a point charge q at a distance r?

    <p>$E = \frac{kq}{r^2}$</p> Signup and view all the answers

    What does the equation $F = \frac{\mu_0 I_1 I_2}{2\pi r}$ represent?

    <p>Magnetic force between two parallel currents</p> Signup and view all the answers

    In the equation $E = -N \frac{\Delta \phi_B}{\Delta t}$, what does E represent?

    <p>Electromotive force (EMF)</p> Signup and view all the answers

    Which statement best describes the function of capacitance C in a parallel plate capacitor?

    <p>C measures the charge flow per volt</p> Signup and view all the answers

    What does the equation $V = \frac{kQ}{r}$ calculate?

    <p>Electric potential due to a point charge</p> Signup and view all the answers

    Which of the following is the correct formula for the equivalent capacitance of two capacitors in series?

    <p>$C_{eq} = \frac{1}{\frac{1}{C_1} + \frac{1}{C_2}}$</p> Signup and view all the answers

    Study Notes

    Physics 1223 Exam: Electricity & Light

    • Exam Date: 12/20/23

    Exam Instructions

    • Write full name and NetID on exam, blue book, and answer sheet.
    • Follow instructions exactly.

    Problem 1: Electric Field

    • Two point charges (5 nC each) are positioned at two corners of an equilateral triangle (50 cm side length).
    • Find the magnitude of the electric field at the third corner.
      • Possible answers: a) 286 N/C, b) 498 N/C, c) 374 N/C, d) 436 N/C, e) 311 N/C

    Problem 2: Electron in Magnetic Field

    • An electron moves in a circular path (perpendicular to a magnetic field).
    • Field magnitude: 35 mT; Radius of path: 0.3 mm.
    • Calculate the electron's speed.
      • Electron mass: 9.1 x 10-31 kg
      • Possible answers: a) 3.08 x 106 m/s, b) 3.69 x 106 m/s, c) 1.85 x 106 m/s, d) 1.98 x 106 m/s, e) 2.46 x 106 m/s

    Problem 3: Parallel Resistors

    • 12-volt battery connected to five 100 Ω resistors (in parallel).
    • Calculate the power dissipated in each resistor.
      • Possible answers: a) 1.44 W, b) 1.67 W, c) 0.640 W, d) 0.810 W, e) 1.21 W

    Problem 4: Laser Beam Intensity

    • Laser beam intensity: 600 W/m².
    • Calculate the root mean square (rms) value of the electric field.
      • Remember to divide by the square root of 2.
      • Possible answers: a) 514 N/C, b) 476 N/C, c) 621 N/C, d) 549 N/C, e) 434 N/C

    Problem 5: Critical Angle in Glass

    • Glass with an index of refraction of 1.55, surrounded by water (index of refraction 1.33).
    • Calculate the critical angle for light in the glass.
      • Possible answers: a) 62.5°, b) 56.2°, c) 53.7°, d) 59.1°, e) 51.1°

    Additional Problems (from page 2 & 3):

    • Problem 6: Speed of light in glass (2.4 x 108 m/s) at 32° angle of incidence. Find the angle of refraction in air.
    • Problem 7: 4 cm tall object placed 30 cm from convex mirror (50 cm radius). Calculate image height.
    • Problem 8: Concave mirror (40 cm radius) with equal object and image height. Find distance between the object and mirror.
    • Problem 9: Diverging lens (concave surfaces, radii 30 cm and 20 cm, focal length -22 cm). Calculate the index of refraction.
    • Problem 10: Two converging lenses (30 cm focal length each) 20 cm apart. Object is 10 cm from the first lens. Calculate final image position.
    • Problem 11: Soap bubble (125 nm thickness), index of refraction 1.33. Find the reflected wavelength of visible light.
    • Problem 12: Single slit diffraction (670 nm wavelength, 2.5 m distance, 5 cm central peak width). Calculate central peak width for 440 nm wavelength.
    • Problem 13: Diffraction grating (633 nm wavelength, second order line at 56°). Calculate lines per centimeter.
    • Problem 14: Light traveling in air to liquid (index of refraction 1.25). Calculate the angle of incidence when reflected light is completely polarized.
    • Problem 15: Two moon craters (5 km apart, Earth distance 3.84 x 108 m, light wavelength 550 nm). Calculate minimum lens diameter for resolution.

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    Description

    Prepare for the final exam in Physics 1223, focusing on Electricity and Light. This exam includes problems on electric fields, the motion of electrons in magnetic fields, and parallel resistors. Test your knowledge on these essential concepts before the exam date on December 20, 2023.

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