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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 BiotSavart 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
xy 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 yaxis 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 yaxis, 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 Mic1’.)an Circle instructor: Poduska or Morrow
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 Winter '12
 MichaelMorrow

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