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2018 End of Module Examination A Standard Test based of Past Paper Model Questions (Internal Use Only at Hampton School) Developed by: G. David • Bö§Zïk Inc.™ SUBJECT : PHYSICS Dec. 31, 2018 LEVEL (Class) : Advanced (U6) 94 Minutes TEST TYPE : Paper 1 - Multiple Choice This document consists of typeset pages and 0 blank pages. 10 Please Turn Over ..: Runtime Revision Sessions (R2S) Explore™ :.. READ THESE INSTRUCTIONS FIRST: Write your name, shade your class ID on the Answer Sheet in the spaces provided unless this has been done for you. Read the instructions on the Answer Sheet very carefully. Do not write in any barcodes. There are 49 questions on this paper. Answer all questions. For each question there are four possible answers A, B, C and D. Choose the one you consider correct and record your choice in separate Answer Sheet provided. Please SHADE your MCQ responses on R2S Form A or TYPESET using R2S Form B provided. Mark scheme [ Correct (+1 mark); Incorrect (0 mark); No Response (1 mark) ] Any rough working should be done in this booklet. Do not do any rough working on your Answer Sheet. Use only a No. 2 pencil. Do not use staples, paper clips, glue or correction fluid. Electronic calculators may be used.
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Page 1: G. David • BÖ§ZïK Inc.™ 1 0 1 0 1 0 1 0 1 ..: Runtime Revision … · 2019-11-22 · 3 Ω 7 Ω 5 Ω 6 Ω v d= neA I I= neA v d v d= I neA v d=neIA 7.4×104 ms−1 0.74 ms−

2018 End of Module Examination

A Standard Test based of Past Paper Model Questions

(Internal Use Only at Hampton School)

Developed by: G. David • Bö§Zïk Inc.™

SUBJECT : PHYSICS Dec. 31, 2018 LEVEL (Class) : Advanced (U6) 94 Minutes TEST TYPE : Paper 1 - Multiple Choice

This document consists of typeset pages and 0 blank pages. 10

Please Turn Over

..: Runtime Revision Sessions (R2S) • Explore™ :..

READ THESE INSTRUCTIONS FIRST: • Write your name, shade your class ID on the Answer Sheet in the spaces provided unless this has

been done for you.

• Read the instructions on the Answer Sheet very carefully. Do not write in any barcodes. • There are 49 questions on this paper. Answer all questions. For each question there are four

possible answers A, B, C and D. Choose the one you consider correct and record your choice in separate Answer Sheet provided.

• Please SHADE your MCQ responses on R2S Form A or TYPESET using R2S Form B provided. • Mark scheme [ Correct (+1 mark); Incorrect (0 mark); No Response (−1 mark) ] • Any rough working should be done in this booklet. Do not do any rough working on your Answer

Sheet.

• Use only a No. 2 pencil. Do not use staples, paper clips, glue or correction fluid. • Electronic calculators may be used.

CAPE: Unit 2 - Physics - 2018 TR

G. David • BÖ§ZïK Inc.™ 1 0 1 0 1 0 1 0 1

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- -2

REPOSITORY OF PHYSICAL CONSTANTS

◆ LIST OF PHYSICAL CONSTANTS

Universal gravitational constant

Acceleration due to gravity

Radius of the Earth

G

g

RE

=

=

=

6.67 x 10−11 N m2 kg-2

9.80 m s –2

6380 km

Mass of the Earth

Mass of the Moon

Atmosphere

ME

MM

Atm

=

=

=

5.98 x 10 24 kg

7.35 x 10 22 kg

1.00 x 10 5 N m –2

Boltzmann's constant

k

=

1.38 x 10 -23 J K –1

Coulomb constant

=

9.00 x 10 9 N m 2 C –2

Mass of the electron Electron charge

me

e

=

=

9.11 x 10 -31 kg

1.60 x 10 -19 C

Density of water

Resistivity of steel

Resistivity of copper

=

=

=

1.00 x 10 3 kg m –3

1.98 x 10 -7 Ωm

1.80 x 10 -8 Ωm

Thermal conductivity of copper

=

400 W m -1 K –1

Specific heat capacity of aluminium

=

910 J kg -1 K –1

Specific heat capacity of copper

=

387 J kg -1 K –1

Specific heat capacity of water

=

4200 J kg -1 K –1

Specific latent heat of fusion of ice

=

3.34 x 10 5 J kg-1

Specific latent heat of vaporisation of water

=

2.26 x 106 J kg-1

Avogadro number

Speed of light in free space

Permeability of free space

NA

c

µ0

=

=

=

6.02 x 10 23 per mole

3.00 x 108 m s-1

4π x 10-7 H m-1

78CXC A16/U2/07

A-Level Physics for U6 G. David Boswell | BÖ§ZïK Inc.™ 2019 R2S Explore

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- -3

REPOSITORY OF PHYSICAL CONSTANTS (continued)

Please Do Not Turn this Page … until told

LIST OF PHYSICAL CONSTANTS (cont’d)

Permittivity of free space Ⴆ0 = 8.85 x 10-12 F m-1

The Planck constant

h

=

6.63 x 10-34 J s

Unified atomic mass constant

u

=

1.66 x 10-27 kg

Rest mass of proton

Molar gas constant

Stefan- Boltzmann constant

mp

R

=

=

=

1.67 x 10-27 kg

8.31 J K-1 mol-1

5.67 x 10-8 W m-2 K-4

Mass of neutron

mn

=

1.67 x 10-27 kg

79CXC A16/U2/07 A-Level Physics for U6 G. David Boswell | BÖ§ZïK Inc.™ 2019 R2S Explore

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- -4

1. Which scientist (i) demonstrated the quantization (ii) and measured value of the quantum of electric charge, e in a single experiment of great scientific importance?

(A) R. Millikan (B) E. Rutherford (C) A. Einstein (D) C.-A. Coulomb

2. The number of electrons required to accumulate a charge of is approximately:

(A)

(B) (C) (D)

3. A wire carries a steady current of 2A. The charge that passes a cross section in 2s is:

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

4. The watt is the same unit as: (A) (B) (C) (D)

5. Which one of the following quantities is correctly matched to its units?

(A) Power, (B) Energy, (C) e.m.f., (D) Resistance,

6. A unit equivalent to that of the Volt is? (A) (B) (C) (D)

7. The ‘kiloampere·hour’ is a unit of (A) current (B) charge (C) power (D) energy

8. A current of 0.3A is passed through a lamp for 2 minutes using a 6-V power supply. The energy dissipated by this lamp during the 2 minutes is:

(A) 12 J (B) 3.6 J (C) 36 J (D) 216 J

9. A light bulb was factory stamped “Product of Jamaica: 40W, 120V”. What is its expected resistance when lit by a 120 V source?

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

10. A current of 10A passes through a wire of resistance . What is the rate of production of heat energy in the wire?

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

32µC

2×106

2×1014

4×1014

2×1019

2.3×10−19C6.4 ×10−19C2C4C

V 2 ⋅Ω−1

J ⋅ sJ ⋅C−1

A ⋅V −1

kW ⋅hkWJ ⋅C−1

V ⋅C−1

J.A−1s−1

J.As−1

W .C−1

W .A−1

300 Ω3 Ω360 Ω0.33 Ω

0.15 Ω

15 W1.5 W225 mW2.25 W

A-Level Physics for U6 G. David Boswell | BÖ§ZïK Inc.™ 2019 R2S Explore

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- -5

11. Which of the following factors affect the ohmic characteristics of electrical conductors?

(A) Density (B) Length (C) Volume (D) Pressure

12. Nine identical wires, each of diameter d and length L, are connected in parallel. The combination has the same resistance as a single similar wire of length L but whose diameter is:

(A) (B)

(C)

(D)

13. The length of copper wire of resistance R was tripled. And, if the radius of its uniform cross-sectional area was halved, what is the new resistance value?

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

14. Two wires made of the same material have the same lengths but different diameters are connected in parallel to a battery. The quantity that is NOT the same for the wires is

(A) the current (B) the electric field (C) the electron drift velocity (D) p.d. across the wires

15. The equivalent resistance between points 1 and 2 of the circuit shown is:

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

16. Which of the following relationships correctly provides the relationship linking electric current, charge on the carrier, drift velocity, charge density (per unit volume), and cross sectional area?

(A)

(B)

(C)

(D)

17. Copper has 8.5 x 1028 free electrons per unit volume. A thin copper conductor of uniform cross sectional area 1 mm2 carries 10A. An estimate of the drift velocity is?

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

3d9dd3d9

1.5R6R0.75R12R

20. The equivalent resistance between points 1 and 2 of the circuit shown is:

...........................................................

............................................

...........................................................

............................................

1 4

....................................................................................................... .......

................................................................................................

....................................................................................................... .......

................................................................................................

1 1• 1

2 2• 2

A. 3B. 4C. 5D. 6E. 7

ans: C

21. Each of the resistors in the diagram has a resistance of 12 . The resistance of the entire circuitis:

.......................................................................................................

.......................................................................................................

.......................................................................................................

.......................................................................................................

.......................................................................................................

.......................................................................................................

.......................................................................................................

.......................................................................................................

.......................................................................................................

.......................................................................................................• • • • • • •

A. 5.76B. 25C. 48D. 120E. none of these

ans: B

22. The resistance of resistor 1 is twice the resistance of resistor 2. The two are connected inparallel and a potential difference is maintained across the combination. Then:

A. the current in 1 is twice that in 2B. the current in 1 is half that in 2C. the potential difference across 1 is twice that across 2D. the potential difference across 1 is half that across 2E. none of the above are true

ans: B

Chapter 27: CIRCUITS 391

www.allonlinefree.com

3 Ω7 Ω5 Ω6 Ω

vd =neAI

I = neAvd

vd =IneA

vd = neIA

7.4 ×10−4 ms−1

0.74 ms−1

7.4 ms−1

0.074 ms−1

A-Level Physics for U6 G. David Boswell | BÖ§ZïK Inc.™ 2019 R2S Explore

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- -6

18. Which of the following graph represents the correct relationship between voltage and current for a dilute solution of hydrochloric acid?

19. A series circuit consists of a cell (e.m.f., and internal resistance, r) and an external resistor, R. The terminal p.d. of the battery is

volts. An expression for the inefficiency of the cell is:

(A)

(B)

(C)

(D)

20. A dry cell delivering 2A has a terminal voltage 1.41V. What is the internal resistance of the cell if its open-circuit voltage is 1.59V?

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

21. A constant current of flows through a wire. What quantity of charge passes through the wire in one hour?

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

22. Suppose the electric company charges 10 cents per kW·h. How much does it cost to use a 125 W lamp 4 hours a day for 30 days?

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

E

V

EV

×100%

rR×100%

RR + r

×100%

rR + r

×100%

0.08 Ω 0.0 Ω0.09 Ω 1.5 Ω

25 mA

90 C9 mC25 C25 mC

$1.20$1.80$1.50$7.20

A-Level Physics for U6 G. David Boswell | BÖ§ZïK Inc.™ 2019 R2S Explore

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- -7

23. Electric field intensity, , can also be expressed in the units of

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

24. Two parallel plated are held at potentials and and separated by a distance

of . The magnitude of the electric field intensity (in ) along the central axis between the plates is

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

25. To make an uncharged object have a positive charge we must:

(A) add some neutrons (B) remove some neutrons (C) remove some electrons (D) add some electrons

26. A negatively charged rod is held close to one side of a metal sphere. The other side of the sphere is earthed. Which diagram shows the distribution of charge on the metal sphere?

27. Two isolated point particles with respective charges +2×10−9 C and −8×10−9 C are separated by 4 nm. The attractive electric force due to the charges is __________.

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

28. A small sphere has charge . Charge is removed from it and placed on a second initially uncharged small sphere. The two spheres are placed 1 m apart. For the force that each sphere exerts on the other to be a maximum, should be:

(A)

(B)

(C)

(D)

29. Two small charged objects attract each other with a force F when separated by a distance

. If the charge on each object is reduced to one-fourth of its original value and the distance between them is reduced to the force becomes:

(A)

(B)

(C)

(D)

E

J ⋅C−1 ⋅m−1

J ⋅C−1

J ⋅CJ ⋅m−1

+45V −25V10cm

Vm−1

2504507000

12

© UCLES 2016 0625/21/M/J/16

27 A negatively charged rod is held close to one side of a metal sphere. The other side of the sphere

is earthed.

Which diagram shows the distribution of charge on the metal sphere?

A

–––

–––––

+

+

B

––––

+

+

+

+

C

–––– +

+++

D

––––

28 A cell is connected to a lamp, as shown.

+–

A charge of 4.0 C flows through the lamp in 2.0 s.

What is the direction of the electron flow in the lamp and what is the current in the lamp?

direction of electron

flow in lamp current / A

A from left to right 2.0

B from left to right 8.0

C from right to left 2.0

D from right to left 8.0

8×109N9×109N36×109N8.89×108N

Q q

q

Q3Q5Q2Q4

d

d / 2

F16F8F4F2

A-Level Physics for U6 G. David Boswell | BÖ§ZïK Inc.™ 2019 R2S Explore

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- -8

30. Two particles, one with charge +16 × 10−9 C and the other with charge −4 × 10−9 C, are

apart.

What is the magnitude of the electric field intensity, , midway between the 2 particles?

(A) 270 N/C (B) 27 N/C (C) 450 N/C (D) 45 N/C

31. A farad is the same as a: (A) (B) (C) (D)

32. To charge a 1-F capacitor with 2 C requires a potential difference of:

(A) 2.0 V (B) 0.2 V (C) 5.0 V (D) 0.5 V

33. In a parallel plate capacitor, if the plate area is halved and the plate separation is halved, then the capacitance is:

(A) doubled (B) halved (C) quadrupled (D) unchanged

34. Let Q denote charge, V denote potential difference, and U denote stored energy. Of these quantities, capacitors in series must have the same:

(A) only (B) only (C) and only

(D) and only

35. A parallel-plate capacitor has a plate area of 0.2 m2 and a plate separation of 0.1 mm. To obtain an electric field of 2.0 × 106 V/m between the plates, the magnitude of the charge on each plate should be:

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

36. A capacitor has an initial voltage of across its plates. It is connected in a simple RC series circuit to a dc supply. The governing equation for the capacitor voltage as a function of time is

(A)

(B)

(C)

(D)

37. Each plate of a capacitor stores a charge of magnitude 1 mC when a 100-V potential difference is applied. Its capacitance is

(A)

(B) (C)

(D)

4m

4 m

q1 q2−+

E = ?

E

CV −1

VC−1

JC−1

VA−1

VQQ UV U

0.18µC 3.5µC7.1µC 14µC

4.5V

8.0V

vC (t) = 8.0e− tτ

vC (t) = 8.0 1− e− tτ

⎝⎜⎞

⎠⎟

vC (t) = 4.5+8.0e− tτ

vC (t) = 4.5+8.0 1− e− tτ

⎝⎜⎞

⎠⎟

5 µF10 µF50 µF100 µF

A-Level Physics for U6 G. David Boswell | BÖ§ZïK Inc.™ 2019 R2S Explore

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- -9

38. Consider a long solenoid of length with coils and carrying a current such that the magnetic flux density at its center is . If the solenoid is compressed so that its length is half the original value and the current is tripled, what is the new flux density along the center line?

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

39. The magnetic field outside a long straight current-carrying wire depends on the distance, r, from the wire axis with direct proportionality to:

(A)

(B)

(C)

(D)

40. The arrow on the figure shows the motion of electrons in a wire that is near the N pole of a magnet. The wire will be pushed:

(A) along its length of the wire (B) upwards (C) downwards (D) towards the N pole of the magnet

41. The diagram shows a shaded area where the direction of a uniform magnetic field is into the page. A beam of β-particles (electrons) enters the field at a constant velocity.

In which direction is the beam of β-particles initially deflected as they enter the magnetic field?

(A) into the page (B) out of the page (C) down the page (southwards) (D) up the page (northwards)

42. The magnitude of the force of a 400-N/C electric field on a 0.02-C point charge is:

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

43. An electron of mass, , is accelerated from rest through a potential difference, V. Its final speed, , is proportional to:

(A) (B)

(C) (D)

44. A momentum of a moving charge moving in a circular motion within uniform field is

(A) (B)

(C) (D)

l NI

B

0.5B1.5B3.0B6.0B

1r3

1r1r 2

r

33. The figure shows the motion of electrons in a wire that is near the N pole of a magnet. Thewire will be pushed:

.....................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................

.................................................................................................................................................................

.....................................................................................................................................................................................................................................................

.......

.......

.......

.......

.......

.......

..

......

.......

......

.......

.......

.......

....

.......

.......

.......

.......

.......

.......

..

..................................................................................................................................................................................................................................................................

..................................................................................................................................................................................................................................................................

.....................................................

........................... electronflow

..................................................................

......................

•••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••••

••••••••••••••••••••••••••••••••••••••••••••••••••••

A. toward the magnetB. away from the magnetC. downwardsD. upwardsE. along its length

ans: D

34. The diagram shows a straight wire carrying current i in a uniform magnetic field. The magneticforce on the wire is indicated by an arrow but the magnetic field is not shown. Of the followingpossibilities, the direction of the magnetic field is:

.............................................................................................................. ........................................

...i

.................................................................................................................

......................

nF

A. opposite the direction of the currentB. opposite the direction of nFC. in the direction of nFD. into the pageE. out of the page

ans: E

Chapter 28: MAGNETIC FIELDS 413

www.allonlinefree.com

16

© UCLES 2016 0625/21/M/J/16

35 The diagram shows a transformer.

primary coil800 turns

secondary coil40 turns

inputvoltage

output voltage

The input voltage is 240 V.

What is the output voltage?

A 6.0 V B 12 V C 20 V D 40 V

36 The diagram shows a shaded area where the direction of a magnetic field is into the page.

A beam of β-particles enters the field as shown.

magnetic fieldinto the page

beam ofβ-particles

In which direction is the beam of β-particles deflected as they enter the magnetic field?

A into the page

B out of the page

C down the page

D up the page

8.0 N8.0 ×10−5 N8.0 ×10−3 N0.8 N

me

vmeV V 2

1V

V

qB

Bqr Bqr2

Bq2r Bq

A-Level Physics for U6 G. David Boswell | BÖ§ZïK Inc.™ 2019 R2S Explore

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- -10

45. Four long straight wires carry equal currents into the page as shown. The magnetic force exerted on wire F is:

(A) north (B) east (C) south (D) west

46. In the magnetic induction experiment shown,

(A) there is a steady reading in G as long as S is closed. (B) a motional e.m.f. is generated when S is closed. (C) since the 2 loops are not connected, the current in G is always zero. (D) there is a current in G just after S is opened or closed.

47. A uniform magnetic field makes an angle of with the z-axis (vertical). The magnetic

flux through a 1-m2 wire loop of 25 turns placed in the x-y plane (horizontal) is . What is the magnitude of the magnetic flux density, ?

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

48. A circular metal disc of area A is placed perpendicular to a uniform magnetic field B and then spun on its axis at a constant angular frequency, . The maximum induced e.m.f. generated between its center and its circumference (i.e., across its radius, ) is:

(A)

(B)

(C)

(D)

49. Iron, rather than copper, is used in the core of transformers because iron:

(A) has a greater resistivity (B) has a higher permeability (C) can withstand a higher temperature (D) makes a good permanent magnet

- ENFIN -

20. Two parallel long wires carry the same current and repel each other with a force F per unitlength. If both these currents are doubled and the wire separation tripled, the force per unitlength becomes:

A. 2F/9B. 4F/9C. 2F/3D. 4F/3E. 6F

ans: D

21. Two parallel wires, 4 cm apart, carry currents of 2A and 4A respectively, in the same direction.The force per unit length in N/m of one wire on the other is:

A. 1× 10−3, repulsiveB. 1× 10−3, attractiveC. 4× 10−5, repulsiveD. 4× 10−5, attractiveE. none of these

ans: D

22. Two parallel wires, 4 cm apart, carry currents of 2A and 4A respectively, in opposite directions.The force per unit length in N/m of one wire on the other is:

A. 1× 10−3, repulsiveB. 1× 10−3, attractiveC. 4× 10−5, repulsiveD. 4× 10−5, attractiveE. none of these

ans: C

23. Four long straight wires carry equal currents into the page as shown. The magnetic forceexerted on wire F is:

� �

�W E

N

SF

A. northB. eastC. southD. westE. zero

ans: B

424 Chapter 29: MAGNETIC FIELDS DUE TO CURRENTS

www.allonlinefree.com

21. In the experiment shown:

..........................................................

..........................

..........................................................

..........................

..........................................................

..............................................................• •.................................................................................................................................................................................................................................................................................................................................................................................................................................................... .......

.......

......

.......

.......

.......

......

.

.......

......

.......

.......

.......

......

.......

......................................................... ............................................................................................ ......................................................

• •S

..........................................................

.......

...................

..........................................................

.......

...................

..........................................................

.......

.......................................................• •............................................................................................ .............................................

.................................................................................................................................................................................................................................... ................................................................................................................................................

.................................................................................................................................................................

..........

G

A. there is a steady reading in G as long as S is closedB. a motional emf is generated when S is closedC. the current in the battery goes through GD. there is a current in G just after S is opened or closedE. since the two loops are not connected, the current in G is always zero

ans: D

22. The emf developed in a coil X due to the current in a neighboring coil Y is proportional to the:

A. magnetic field in XB. rate of change of magnetic field in XC. resistance of XD. thickness of the wire in XE. current in Y

ans: B

23. One hundred turns of insulated copper wire are wrapped around an iron core of cross-sectionalarea 0.100m2. The circuit is completed by connecting the coil to a 10-� resistor. As themagnetic field along the coil axis changes from 1.00T in one direction to 1.00T in the otherdirection, the total charge that flows through the resistor is:

A. 10−2 CB. 2× 10−2 CC. 1CD. 2CE. 0.20C

ans: D

436 Chapter 30: INDUCTION AND INDUCTANCE

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A-Level Physics for U6 G. David Boswell | BÖ§ZïK Inc.™ 2019 R2S Explore

962 Chapter 31 Faraday’s Law

the disk is 0.400 m. Find the emf generated between the brushes. When superconducting coils are used to produce a large magnetic field, a homopolar generator can have a power output of several megawatts. Such a generator is useful, for example, in purifying metals by electrolysis. If a voltage is applied to the output termi-nals of the generator, it runs in reverse as a homopolar motor capable of providing great torque, useful in ship propulsion.

34. A conducting bar of length , moves to the right on two frictionless rails as shown in Figure P31.34. A uniform magnetic field directed into the page has a magnitude of 0.300 T. Assume R 5 9.00 V and , 5 0.350 m. (a) At what constant speed should the bar move to produce an 8.50-mA current in the resistor? (b) What is the direction of the induced current? (c) At what rate is energy delivered to the resistor? (d) Explain the origin of the energy being delivered to the resistor.

R !

BinS

vS

Figure P31.34

35. Review. After removing one string while restringing his acoustic guitar, a student is distracted by a video game. His experimentalist roommate notices his inat-tention and attaches one end of the string, of linear density m 5 3.00 3 1023 kg/m, to a rigid support. The other end passes over a pulley, a distance , 5 64.0 cm from the fixed end, and an object of mass m 5 27.2 kg is attached to the hanging end of the string. The room-mate places a magnet across the string as shown in Figure P31.35. The magnet does not touch the string, but produces a uniform field of 4.50 mT over a 2.00-cm length of the string and negligible field elsewhere. Strumming the string sets it vibrating vertically at its fundamental (lowest) frequency. The section of the string in the magnetic field moves perpendicular to the field with a uniform amplitude of 1.50 cm. Find (a) the frequency and (b) the amplitude of the emf induced between the ends of the string.

Q/C

AMT

motional emf developed between the top and bottom of the antenna varies with the speed and direction of the automobile’s travel and has a maximum value of 4.50 mV.

31. Review. Figure P31.31 shows a bar of mass m 5 0.200 kg that can slide without friction on a pair of rails sepa-rated by a distance , 5 1.20 m and located on an inclined plane that makes an angle u 5 25.08 with respect to the ground. The resistance of the resistor is R 5 1.00 V and a uniform magnetic field of magnitude B 5 0.500 T is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails?

u

m

R

,

BS

vS

Figure P31.31 Problems 31 and 32.

32. Review. Figure P31.31 shows a bar of mass m that can slide without friction on a pair of rails separated by a distance , and located on an inclined plane that makes an angle u with respect to the ground. The resistance of the resistor is R, and a uniform magnetic field of magnitude B is directed downward, perpendicular to the ground, over the entire region through which the bar moves. With what constant speed v does the bar slide along the rails?

33. The homopolar generator, also called the Faraday disk, is a low-voltage, high-current electric generator. It consists of a rotating conducting disk with one stationary brush (a sliding electrical contact) at its axle and another at a point on its circumference as shown in Figure P31.33. A uniform magnetic field is applied perpendicular to the plane of the disk. Assume the field is 0.900 T, the angular speed is 3.20 3 103 rev/min, and the radius of

AMT

S

M

BS

Figure P31.33

N

m

S!

Figure P31.35


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