Ursuline College Chatham

                                                          FINAL EXAMINATION

                                                                      PHYSICS

                                                                       SPH 4A0

 

Date:                February, 1999                                                                                                                                               

Time:                2.0 hours

Name: _______________________                       

 

 

INSTRUCTIONS:

 

1.         You may use an information sheet which has been authorized by the teacher.  This is to be submitted with your examination answers.

 

2.         You may use a calculator, ruler, protractor, and compass.  (NO pre-programmed formulas are allowed)

 

3.         Assume all data is accurate to the number of digits given and round off your answers appropriately.

 

4.         Your solutions to the mathematical problems should contain enough detail that marks may be allocated for incorrect solutions.

 

5.         The answers to PART A (Multiple Choice) should be recorded on the answer sheet provided.

 

6.         The solutions to PARTS B and C are to be answered in the spaces provided on the examination paper.

 

7.         The examination consists of the following parts.  The marks for each part and the time you should take to answer the questions is shown below:

 

            PART A - Multiple Choice                               15 marks          10 min

            PART B – Matching                                         25 marks          25 min

            PART C - Problem Solving                              84 marks          85 min

                            (Do 7 out of 10)     

                                    TOTAL                                    124 marks        120 min

 

                                                                 GOOD LUCK!!!


                                                                                                                                                                                                               

PART A - Multiple Choice (15 marks)

1)         A node is a point where there is always

            (A)       a double crest

            (B)       a double trough

            (C)       constructive interference

            (D)       destructive interference

            (E)       a double rarefaction

 

2)         This diagram shows two wave pulses approaching one another:

 

 

 

 

            Which one of the following diagrams best represents the appearance of the medium when the centres of the pulses coincide?

 

(A)                               (B)                               (C)                               (D)                               (E)

 

3)         Two waves, each of wavelength 5 m, travel in opposite directions in a stretched string 20 m long.  Excluding the nodes at the fixed ends of the string, how many nodes appear in the resulting standing wave pattern?

            (A) 3                (B) 4                (C) 5                (D) 6                (E) 7

 

4)         The speed of sound outside is

            (A)       largest in winter

            (B)       largest in spring

            (C)       largest in summer

            (D)       largest in fall

 

5)         A light ray travelling parallel to the principle axis of a concave mirror hits the mirror.  It will be

            (A)       reflected through the principle focus

            (B)       refracted through the principle focus

            (C)       reflected through the centre of curvature

            (D)       reflected through the vertex

            (E)       reflected back along its original path

 

6)         A ray of light travels from air toward glass at an oblique angle.  At the interface, the ray

            (A)       is totally reflected

            (B)       is bent toward the normal

            (C)       is bent away from the normal

            (D)       is bent to travel along the normal

            (E)       travels straight into the glass without bending

7)         Pure yellow light falls upon a sheet of white paper ruled with blue lines.  As a result

            (A)       both the paper and blue lines appear black

            (B)       the paper appears white and the lines black

            (C)       the paper appears yellow and the lines invisible

            (D)       both the paper and the lines appear yellow

            (E)       the paper appears yellow and the lines black

 

8)         The three primary light colours are

            (A)       yellow, cyan and magenta

            (B)       blue, green and yellow

            (C)       blue, green and red

            (D)       red, white and blue

            (E)       yellow, white and magenta       

 

9)         The unit of electrical potential difference is the

            (A) ampere                               (D) ohm

            (B) coulomb                             (E) volt

            (C) kilowatt hour

 

10)       If the resistance of an electrical circuit were halved and the voltage applied to the circuit doubled, the current in the circuit would

            (A)       be four times as large

            (B)       be twice as large

            (C)       remain the same

            (D)       be half as large

            (E)       be one quarter as large

 

11)       Which one of the following instruments can be used to read directly the potential difference across a resistor in an electrical circuit?

            (A)       ammeter

            (B)       galvanometer

            (C)       ohmmeter

            (D)       potentiometer

            (E)       voltmeter

 

12)       What is the effect when a second identical resistor is added in series in a circuit containing one resistor and a dry cell?

            (A)       The resistance of the circuit decreases.

            (B)       The resistance of the circuit increases.

            (C)       The current through the original resistor stays the same.

            (D)       The voltage drop across the original resistor stays the same.

            (E)       The voltage drop across the original resistor increases.

 

 

 

13)       A single straight conductor carries electrons out of the plane of the paper toward you as shown.

 

 

            What direction and shape are the magnetic field lines?

            (A)       clockwise concentric circles around the conductor

            (B)       counter-clockwise concentric circles around the conductor

            (C)       straight lines radiating outward from the conductor

            (D)       straight lines radiating inward toward the conductor

            (E)       straight lines directed from left to right on the page

 

14)       The diagram illustrates a straight wire conductor situated between the poles of a permanent magnet.  The poles of the magnet are in the plane of the page, and the wire is perpendicular to the plane of the page.  The wire is carrying an electron flow away from you into the plane of the page as indicated by the cross.

 

 

 

 

 

 

            The direction of the magnetic force on the wire is

            (A)       8         (B)       9         (C)       7         (D)       6         (E)       the same as the electron flow

15)       A step-down transformer is used to change

            (A)       high power to low power

            (B)       direct current to alternating current

            (C)       alternating current to direct current

            (D)       high voltage to low voltage

            (E)       low voltage to high voltage

                                                                                                                                                           

                                    USE CAPITAL LETTERS

 

1) _____                      5) _____                      9) _____                      13) _____

 

2) _____                      6) _____                      10) _____                    14) _____

 

3) _____                      7) _____                      11) _____                    15) _____

 

4) _____                      8) _____                      12) _____

 

 

 

PART B – Matching (25 marks)

 

 10           1)             Match the term on the left with the correct phrase on the right,

               

myopia

A

Electrons are given an option as to the path that they take

 

rarefaction

B

The movemnet of electrons as a result of other electrons in proximity  to them

 

refraction

C

Changes the current an voltage in a system

 

diffraction

D

Nearsightedness

 

transformer

E

Change in direction of light due to optical densities

 

parallel circuit

F

The ability of waves to move around an obstacle or through a small opening

 

electromagnetic

G

Area of low density particles

 

induction

H

The creation of a rainbow effect bypassing light through a prism

 

dispersion

I

The movement of electric charges from one position to another

 

electric current

J

The creation of a magnetic field when electrons pass through a conductor

 

 

 

 3             2)             List the three factors that affect the strength of the magnetic field of a coil.

                                i)

 

                                ii)

 

                                iii)

 

 

 2             3)             Echoes are produced when sound is reflected by a hard surface, such as a wall or cliff.  The echoes can be heard by the human ear ONLY if the time interval between the original sound and the reflected sound is greater than 0.1s.  Why is this so?

 

 

 

 

 

 

 

 

 

 

 3             4)             Explain the relationship of the permanent magnet to the current carrying coil in a speaker.

 

 

 

 

 

 

 

 3             5)             From Derek’s presentation what does GPS stand for?

 

 

 

 

 

 

 

 

 4             6)             The unit of electric potential is the VOLT.  This unit is equal to a JOULE/COULOMB.  A JOULE is equal to a NEWTON. METER.  A NEWTON is equal to a kg$m/s2.  Thus a VOLT equals a kg$m2/C$s2.  Using only "kg", "m" and "s" with appropriate exponents, determine the fundamental unit dimensions of the following quantities.

 

                                acceleration                                           ___________________

 

                                force                                                       ___________________

 

                                energy                                                    ___________________

 

                                power                                                     ___________________

                                                                                                                                                                                                               

PART C - Problem Solving (84 marks)

 

Instructions:      Do ANY SEVEN (7) of the following 10 problems.  All questions are of equal value (12 marks each).

 

            1)            The following is a v-t graph of two cars, A and B.  At t=0 s, A and B pass each other.


 

 

 


                                i)              Determine the acceleration of B during the final 3 s.

 

                3

 

 

 

 

                                ii)             Find the distance between A and B at t=5 s.

 

                4

 

 

 

 

 

                                iii)            Find the average velocity of A in the first 5 s.

 

                2

 

 

 

 

                                iv)           Find the instantaneous acceleration of A at t=7 s.

 

                3

 

 

                                                                                                                                                                                                               

            2)            Todd and Keith, pretending that they are playing in the jungle, suspend a rope from an overhead tree limb.  Keith, of mass 70 kg and running at 7 m/s, grabs the rope and swings off the level ground.  Calculate:

 

                                i)              the maximum height reached by Keith.

 

                4

 

 

 

 

 

 

 

                                ii)             how fast Todd (mass=50 kg) has to run to reach the same height as Keith.

 

                5

 

 

 

 

 

 

                                iii)            the amount of work Todd does if he climbs the 4.0 m tree in 2.5 minutes.

 

                3

 

 

 

 

            3) a)       Shalonda throws a ball vertically upward into the air with an initial velocity of 25 m/s.  Calculate:

 

                                i)              the time it takes the ball to reach its maximum height.

 

                3

 

 

 

 

 

 

 

 

                                ii)             how high the ball will travel.

 

                3

 

 

                                                                                                                                                                                                               

                  b)          A subway train starts from rest at a station and accelerates at the rate of 1.5 m/s2 for 15s.  It runs at a constant speed for 40 s, and then decelerates at 2.5 m/s2 until it stops at the next station.  Find the total distance between the stations.

 

                6

 

 

 

 

 

 

 

 

 

 

 

 

            4) a)       An F-4 Phantom jet reaches a speed of 1364 km/h.  If the temperature of the air is 15oC, determine the speed of the aircraft in terms of Mach number.

 

                4

 

 

 

 

                   b)         A sports car (Corvette preferably) sounds its horn (520 Hz) as it approaches a girl by the side of the road.  She has perfect pitch and determines that the sound from the horn has a frequency of 550 Hz.  If the speed of sound that day was 340 m/s, how fast was the sports car travelling?

 

                5

 

 

 

 

 

 

 

 

 

                   c)          The frequency assigned to WWWW (an FM country radio station) is 106.1 MHz.  If radio waves travel at the speed of light, find the wavelength of the radio waves.

 

                3

 

 

                                                                                                                                                                                                               

            5) a)       A closed tube 35 cm long resonates at its shortest resonant length with a tuning fork in a room where the air temperature is 23oC.  Calculate the frequency of the tuning fork.

 

                6

 

 

 

 

 

 

 

 

 

 

                   b)         An organ pipe, open at both ends, resonates at its first resonant length with a frequency of 140 Hz.  What is the length of the pipe if the temperature in the room is 25oC?

 

                6

 

 

 

 

 

 

 

 

 

 

 

 

 

            6) a)       Using a scale ray diagram, locate the position of the image of a candle 2 cm high, placed 7 cm in front of a converging lens of focal length 8 cm.  Identify the four (4) properties of the image.

 

                7

 

 

 

 

 

 

 

 

 

 

 

 

 

Attitude _______________                                                                             Type _______________

 

Location _______________                                                                            Size _______________

 

                                                                                                                                                                                                               

                   b)         A lamp 18 cm high is placed 53 cm in front of a diverging lens of focal length 43 cm.  Find the image position and height of the image  using the lens and magnification equations.

 

                5

 

 

 

 

 

 

 

 

            7) a)       Locate the image in the following diagram, given the object location as shown.  Determine the image height.

                4

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

                   b)         A ray of light travelling in air, strikes a piece of flint glass with an angle of incidence of 32o. Calculate the angle of refraction.

 

                3

 

 

 

 

 

 

 

 

 

 

 

 

 

                                                                                                                                                                                                               

                                 c)            An object 11 cm high is placed 63 cm in front of a converging lens of focal length 22 cm.  Using the lens and magnification equations, determine the image position and height.

 

                5

 

 

 

 

 

 

 

 

            8) a)       Solve the circuit shown below for the following quantities:  V1, RT, IT, I2.

 


                6

 

 

 

 

 

 

 


                   b)         Calculate the cost of operating a 2.0 kW heater on a 240 V circuit for 15 minutes, if electrical energy costs 104/kW$h.

 

                3

 

 

 

 

 

 

 

                                                                                                                                                                                                               

                   c)          The heating element of an electric range has a resistance of 10A.  Calculate the current that the appliance draws on a 240 V circuit.

 

                3

 

 

 

 

 

 

 

 

            9)            A bat flying towards a stationary moth, emits a sound wave that reflects back to the bat in 0.1s. If the bat is flying toward the moth at 10 m/s, how far away is the moth when the bat receives the echo. Assume that the speed of sound is 340 m/s.

 

                12                           

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

            10) a)     Using diagrams show how a magnet can be used to  induce current, include the direction of electron flow.

 

                4

 

 

 

 

 

 

 

 

 

                                ii) Using diagrams show how a current carrying coil can be used to produce a magnetic field.

 

                4

 

 

 

 

 

 

 

 

 

 

                   c)          State four ways that the strength of an electromagnet can be altered.

 

                4

 

 

 

 

 

 

 

 

 

 

 

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