Download Final Exam Review – SPH 4U1

Final Exam Review – SPH 4U1
Preparing for the final exam should include the following steps:
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Reviewing your notes and making a summary of the important topics and formulas
from the course
Reviewing your formula page to ensure that you are familiar with all of the used
equations, knowing how to use them and all of the variables involved
Reviewing your assignments/quizzes/tests from each unit and making corrections
and retrying any questions that you found difficult the first time
Try the extra practice questions well BEFORE the exam so that you can seek extra
help as needed with any difficult questions
Extra Practice Questions:
1. A woman standing on the surface of Earth, 6.38  106 m from its centre, has a mass of 50.0 kg. If the mass of
Earth is 5.98  1024 kg, what is the force of gravity on the woman?
2. The force of gravitational attraction between two masses is 36 N. What will be the force if one mass is doubled
and the distance between them is tripled?
3. The planet Jupiter has a mass of 1.9  1027 kg and a radius of 7.2  107 m. Calculate the acceleration due to
gravity on Jupiter.
4. The electrostatic force between two small charged objects is 5.0  10–5 N. What effect would each of the
following changes have on the magnitude of this force, considered separately?
(a) The distance between the charges is doubled.
(b) The charge on one object is tripled, while the charge on the other is halved.
(c) Both of the above changes occur simultaneously.
5. A negative charge of 2.4  10–6 C experiences an electric force of magnitude 3.2 N, acting to the left. What is the
magnitude and direction of the electric field at that point?
6. Calculate the charge on a small sphere with an excess of 5.0  1014 electrons.
7. What potential difference is required to accelerate a deuteron, of mass 3.3  10–27 kg and charge 1.6  10–19 C,
from rest to a speed of 5.0  106 m/s?
8. Assume that a single, isolated electron is fixed at ground level. How far above it, vertically, would another
electron have to be, so that its mass would be supported by the force of electrostatic repulsion between them? (mass
of electron = 9.1  10–31 kg)
9. An electron is released from rest adjacent to the negative plate in a parallel plate apparatus. A potential
difference of 500 V is maintained between the plates, and they are in a vacuum. With what speed does the electron
collide with the positive plate?
10. Calculate the electric field intensity midway between two negative charges of 3.2  10–9 C and 6.4  10–9 C that
are 30 cm apart.
11. In Millikan’s oil drop experiment, an oil drop, whose mass is found to be 4.95  10–15 kg, is balanced between
two large, horizontal parallel plates 1.0 cm apart, by a potential difference of 510 V, with the upper plate positive.
What is the charge on the drop, both in coulombs and in elementary charges, and is it an excess or deficit of
electrons?
12. What length of conductor, running at right angles to a 0.033 T magnetic field and carrying a current of 20 A,
experiences a force of 0.10 N?
13. Determine the magnitude and direction of the magnetic force on a proton moving horizontally to the north at
8.6  104 m/s, as it enters a magnetic field of 1.2 T, pointing vertically upward.
14. Calculate the radius of the path taken by an alpha particle (He++ ion, of charge 3.2  10–19 C and mass 6.7  10–
27
kg) injected at a speed of 1.5  107 m/s into a uniform magnetic field of 2.4 T, at right angles to the field.
15. What is the magnetic force on a wire 0.25 m long, carrying a current of 4.0 A, when placed in a uniform
magnetic field of 0.50 T, at an angle of 45° to the wire?
16. An electron, shot at right angles into a uniform magnetic field of 2.0  10–3 T, experiences a deflecting force of
2.6  10–16 N. With what velocity is it moving?
17. A uniform magnetic field, of magnitude 0.25 T, consists of field lines pointing into the page, as indicated by x’s
(representing the tails of straight arrows moving away from the observer) in the sketch. A proton with a positive
charge of 1.6  10–19 C enters this magnetic field at point A, moving with a horizontal velocity of 4.0  106 m/s
[right], as shown below. What is the magnitude and direction of the instantaneous force exerted on it at point A?
18. In a ripple tank, a point on the third nodal line from the centre is 35 cm from one source and 42 cm from the
other source. The sources are separated by 11.2 cm and vibrate in phase at 10.5 Hz. Calculate
(a) the wavelength of the waves
(b) the velocity of the waves
19. Two sources 6.0 cm apart, operating in phase, produce water waves. A student selects a point on the first nodal
line and measures from it 30.0 cm to a point midway between the sources and 5.0 cm (on the perpendicular) to the
right bisector.
(a) What is the wavelength of the waves?
(b) When the student selects a point on the second nodal line, he finds that it is 38.0 cm from the midpoint and 21.0
cm from the bisector. Determine the wavelength.
(c) What would be the value of the angle  for distant points on the first and second nodal lines described above?
20. An interference pattern is set up by two point sources of the same frequency, which are in phase. A point on the
second nodal line is 25 cm from one source and 29.5 cm from the other source. The speed of the waves is 7.5 cm/s.
Calculate the following.
(a) the wavelength
(b) the frequency of the sources
21. At what angle will 750 nm light produce a second minimum if the single-slit width is 2.0 m?
22. A student doing Young’s experiment measures a distance of 6.0 cm between the first and seventh nodal points
on a screen located 3.0 m from the slit plate. If the slit separation is 220 m, what is the wavelength of the light
being used?
23. A student measuring the wavelength of a narrow, monochromatic source uses a double slit with a separation of
0.15 mm. A second student places markers on a screen 2.0 m in front of the slits at the positions of successive dark
bands in the pattern. She finds that the dark bands are 0.56 cm apart.
(a) Calculate the wavelength of the source in nanometres.
(b) Calculate what the spacing of the dark bands would be if a source of wavelength 600 nm were used.
24. In an interference experiment, red light with a wavelength of 6.0  10–7 m passes through a double slit. On a
screen 1.5 m away, the distance between the 1st and 11th dark bands is 2.0 cm.
(a) What was the separation of the slits?
(b) What would the spacing be, between adjacent nodal lines, if blue light were used? (blue = 4.5  10–7 m)
25. (a) What is the spacing of the dark fringes in an interference pattern reflected from an air wedge between two
microscope slides 10 cm long, separated at one end by a paper of thickness 0.10 mm, illuminated with red light of
wavelength 660 nm?
(b) How would the spacing change if the wedge were filled with water (refractive index = 1.33)?
26. A diffraction grating has 1000 slits/cm. When blue light (= 480 nm) is directed through the grating, what will
be the separation of the bright points on a screen 4.00 m away?