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King'S College, Budo Physics Seminar - 15 JUNE, 2019 Paper 2 Questions

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KING’S COLLEGE, BUDO

PHYSICS SEMINAR - 15TH JUNE, 2019


PAPER 2 QUESTIONS

SECTION A (Geometrical Optics - Light)


1(a) For a converging mirror define the terms
(i) radius of curvature (1)
(ii) principal focus
(1)

(b) With the aid of a ray diagram derive the mirror formula for a convex mirror. (6)

(c) (i) With the aid of a ray diagram, describe the structure and action of a reflecting
telescope in normal adjustment. (5)
(ii) State two advantages of a reflecting telescope over a refracting one. (2)

(d) An astronomical telescope with an objective of focal length 84.0 cm and an eyepiece
of focal length 8.0 cm. The eyepiece is shifted until the final image is formed at a
distance of 64.0 cm from the objective. Find the distance between the two lenses. (5)

[ST. MARK’S COLLEGE, NAMAGOMA]

2(a) (i) Explain the difference between the terms magnifying power and magnification as
applied to optical instruments. (3)

(ii) State what is meant by normal adjustment in the case of an astronomical


telescope. (1)

(iii) With the aid of a ray diagram, explain how the two lenses of a telescope form, at
infinity, a magnified virtual image of a real distant object. (4)

(b) A telescope has an objective of focal length 80cm and an eyepiece of focal length
2.0cm. It is focused on the moon, whose diameter subtends an angle of 8.0 x 10-3 rad
at the objective. The eyepiece is adjusted so as to project a sharp image of the moon
onto a screen placed 20cm from the eyepiece lens. Calculate:

(i) the diameter of the intermediate image formed by the objective lens. (3)

(ii) the diameter of the image on the screen. (3)

(iii) the separation of the lenses. (2)

(c) Explain, with the aid of a diagram, the formation of the eye-ring in a telescope and
state why it is the best position for the eye of the observer. (4)

[ST. MARY’S COLLEGE KISUBI]

©KCB PHY DEPT 2019 AS VISIONARY AS AN EAGLE Page 1


3(a) (i) What is meant by refraction of light? (1)
(ii) Explain why a pond of clear water appears shallower, than it actually is, to an
observer. (3)
(iii) Describe an experiment to determine the refractive index of a liquid using the
air-cell method. (6)

(b) A lens forms a sharp image of height h1 on a fixed screen. As the lens is moved
towards the screen another sharp image of height h2, of the same object, is formed on
the screen. If the object position remained the same in both cases, obtain an
expression for the height of the object. (4)

(c) A converging lens of focal length 30 cm is placed between an object and a diverging
lens of focal length 5 cm. If the object is 6 metres from the converging lens and 6.20
metres from the diverging lens, determine

(i) the position and nature of the image formed. (4)


(ii) the magnification of the image. (2)

[SEETA HIGH SCHOOL – MBALALA CAMPUS]

4(a) (i) State the conditions for total internal reflection. (2)

(ii) Draw a labeled diagram of a named device to show (without description) an


application of total internal reflection. (2)

(b) Explain how a fish in a pond is able to enjoy a 180o field of view. (3)
(c) Show that when a ray of light passes through different media separated by plane
boundaries
n sin i = constant
where n is the absolute refractive index of a medium and i is the angle made by the
ray with the normal in the medium. (4)

(d) Describe an experiment to measure the refractive index of glass of rectangular shape,
using a pin, by the apparent depth method. (4)

(e) The figure below shows a liquid of refractive index 1.33 enclosed by glass of uniform
thickness. A ray of light, incident on face PQ at an angle of incidence, θ, emerges
through face QR. Q

θ A

©KCB PHY DEPT 2019 AS VISIONARY


P AS AN EAGLER Page 2
As the angle θ is reduced, suddenly the emergent ray disappears when
θ = 16o.Find the angle A. (5)

[MT. ST. MARY’S NAMAGUNGA]

SECTION B (Physical Optics – Waves)

1(a) (i) Distinguish between free and damped oscillations. (2)


(ii) What is a wave? (1)

(b) A mechanical wave in a certain medium is represented by the equation


y = 0.3sin 2(35t – 0.4x)
where all distances are in metres.

(i) State what each of the symbols x and y represents. (2)

(ii) Find the velocity of the wave (3)

(c) (i) What is meant by resonance in waves? (1)


(ii) Describe an experiment to determine the velocity of sound in air using the
resonance method. (6)

(d) (i) What is a harmonic in sound. (1)

(ii) A string of length 0.50 m and mass 5.0 g is stretched between two fixed points. If
the tension in the string is 100 N, find the frequency of the second harmonic.

(Velocity of sound along the string = √( Tension


)
Mass per unit length ) (4)

[GAYAZA HIGH SCHOOL]

2(a) (i) What is meant by interference of waves? (2)

(ii) State the conditions necessary for the observation of interference pattern. (2)

(iii) Describe how interference can be used to test for the flatness of a surface. (3)

(b) Describe with the aid of a labeled diagram, how the wavelength of monochromatic
light is measured using Young’s double-slit method. (5)

(c) Two microscope slides are in contact at one end and are separated by a thin piece of
paper at the other end. Monochromatic light is directed normally on the wedge.

(i) What type of fringes will be observed? (2)

(ii) Explain what will be observed if a liquid is introduced between the slides. (2)

©KCB PHY DEPT 2019 AS VISIONARY AS AN EAGLE Page 3


(d) When monochromatic light of wavelength 5.0 x 10-7m is incident normally on a
transmission grating, the second order diffraction line is observed at an angle of 270.
How many lines per centimeter does the grating have? (4)

[SEETA HIGH – MAIN CAMPUS]

3(a) What is meant by


(i) wavelength of a wave. (1)

(ii) pitch of a musical note (1)

(b) (i) A source of sound of frequency f, is moving with velocity us away from an
observer who is moving with velocity uo in the same direction. If the velocity of
sound is V, derive an expression for the frequency of sound heard by the observer. (5)

(ii) Explain what happens to the pitch of the sound heard by the observer in (b)(i) above
when the observer moves faster than the source (2)

(c) (i) A star which emits light of wavelength  is approaching the earth with velocity v.
If the velocity of light is c, write down an expression for the shift in the wavelength of
the emitted light. (1)

(ii) Describe how the speed of a star may be measured using the Doppler effect. (4)

(d) Two open pipes of lengths 78 cm and 80 cm are found to give a beat frequency of 5
Hz when each is sounding in its fundamental note. If the end errors are 1.7 cm and 1.5
cm respectively, calculate the;

(i) velocity of sound in air (4)

(ii) frequency of each note. (2)

[TRINITY COLLEGE NABBINGO]

4(a) (i) What evidence does suggest that light is a transverse wave while sound is a
longitudinal one? (1)

(ii) What is meant by division of wavefronts as applied to interference of waves? (2)

(b) Two slits X and Y are separated by a distance s and illuminated with light of
wavelength . Derive the expression for the separation between successive fringes on
a screen placed a distance D from the slit. (5)

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(c) A source of light, a slit, S, and a double slit (A and B) are arranged as shown below

Perspex screen with scale

A
Microscope
S
Eye
Source of lightB

(i) Describe what is observed on the screen through the microscope when a white
source of light is used. (2)

(ii) Explain what is observed when slit S is gradually widened. (3)

(iii) How would you use the set up above to measure the wavelength of red light? (4)

(d) In Young’s double-slit experiment, the 8th bright fringe is formed 6mm away from
the centre of the fringe system when the wavelength of light used is 6.3 x 10-7 m.
Calculate the distance of the screen from the slits if the separation of the two slits is
0.7 mm. (3)

[ST. LAWRENCE SCHOOLS & COLLEGES]

SECTION C (Magnetism and A.C circuits)

1(a) What is meant by the terms:


(i) Magnetic meridian (1)

(ii) Magnetic declination (1)

(b) Explain what happens to the angle of dip as one moves along the same longitude
from the Equator to the North pole. (2)

(c) (i) Write down an expression for the magnetic flux density at the centre of a narrow
circular coil of radius r having N turns when a current I is flowing in it. (1)

(ii) Describe an experiment to determine horizontal component of the Earth’s


magnetic flux density at a certain location. (5)

(d) A circular coil of 4 turns and diameter 14.0 cm carries a current of 0.35A. It is placed
at the equator with its plane along the magnetic meridian. Calculate the direction and
magnitude of the resultant magnetic flux density at the position if the earth’s magnetic
flux density at the location is 1.8 x 10-5 T. (4)

©KCB PHY DEPT 2019 AS VISIONARY AS AN EAGLE Page 5


(e) (i) What is meant by the term magnetic moment of a coil? (1)

(ii) Explain why a moving coil galvanometer must have the following:
A radial magnetic field,
Fine hair springs,
Large number of turns
A conducting former. (5)

[UGANDA MARTYRS S.S NAMUGONGO]

2(a) What is meant by


(i) self- induction (1)

(ii) eddy current (1)

(b) The diagram shows an iron-cored coil, L, of many turns and negligible resistance with
identical bulbs, A and B, connected in a circuit.

K
(i) When switch K is closed, at first both bulbs A and B light up, but soon B dims out
while A becomes brighter. Explain these observations. (3)

(ii) If now K is opened, state and explain what is observed. (3)

(c) (i) Explain the origin of the back emf in a motor. (2)

(ii) A motor, whose armature resistance is 2Ω, is operated on 240V mains supply. If it
runs at 3000 rev min-1 when drawing a current of 5 A, at what speed will it run when
drawing a current of 15 A? (3)

(d) (i) With the aid of a labeled diagram, describe the mode of action of a simple d.c
generator. (5)

(ii) Sketch the output against time of a simple d.c generator. (1)

(iii) State two factors that determine the polarity of the output of a d.c generator. (1)

[BUDDO SECONDARY SCHOOL]

3 (a) Define the following terms as applied to voltage in alternating current circuits.
(i) Root-mean-square value. (1)

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(ii) Peak value. (1)
(b) Derive the relationship between the root mean square value and the peak value of the
alternating current. (4)

(c) With the aid of a labeled diagram, describe the mode of operation of a repulsion type
moving iron ammeter. (5)

(d) A source of alternating current voltage of frequency f is connected across the ends of
a pure inductor of self -inductance L. Derive an expression for the inductive
reactance of the circuit and explain the phase difference between the voltage and the
current that flows. (5)

(e) A pure inductor of inductance 2H, is connected in series with a resistor of 500 Ω
across a source of e.m.f 240 V(r.m.s), alternating at a frequency of 50 Hz. Calculate the
potential difference across the resistor. (4)

[NABISUNSA GIRLS’ SCHOOL]

4 (a) (i) Give two advantages of alternating current over direct current in power
transmission. (2)

(ii) Explain the fact that an alternating current continues to pass through a capacitor
whereas direct current cannot. (4)

(b) A sinusoidal voltage, V = Vosin 2ft, is connected across a capacitor of capacitance,


C. Derive an expression for the reactance of the capacitor. (4)

(c) With the aid of a labelled diagram describe the structure and action of a hot-wire
ammeter. (6)

(d) Power of 60 kW produced at 120 V is to be transmitted over a distance of 2 km


through cables of resistance 0.2  m-1. Determine the voltage at the output of an ideal
transformer needed to transmit the power so that only 6% of it is lost. (4)

[MBARARA HIGH SCHOOL]

5 (a) What is a magnetic field? (1)

(b) A magnetic field of flux density B is applied normally to a metal strip carrying
current I as shown in the figure below.

I P

Q b
a

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B
(i) Account for the occurrence of a potential difference between points P and Q,
indicating the polarity of this p.d. (3)

(ii) Derive an expression for the electric intensity between P and Q if the drift velocity
of the conduction electrons is v. (3)

(c) (i) With the aid of a labeled diagram, describe the mode of action of a simple d.c
generator. (5)

(ii) Sketch the output against time of a simple d.c generator. (1)

(iii) Explain how a back e.m.f is developed in a motor. (3)

(d) A square coil of side 10 cm has 100turns. The coil is arranged to rotate at 3000 rev.
min-1 about a vertical axis perpendicular to the horizontal uniform magnetic field of
flux density 0.8 T. The axis of rotation passes through the mid-points of a pair of
opposite sides of the coil. Calculate the e.m.f induced in the coil when the plane of the
coil makes an angle of 60o with the field. (4)

[NAMILYANGO COLLEGE]

6(a) State the laws of electromagnetic induction. (2)

(b) A coil of area A is rotated at a frequency f in a uniform magnetic field of flux density
B about an axis which is perpendicular to the field.
(i) Derive an expression for the e.m.f generated. (3)

(ii) Deduce at least four of the factors on which the e.m.f depends. (2)

(iii) State any two factors that reduce the efficiency of an a.c. generator to less than
100% (2)

(c) A rectangular coil of 50 turns is 15.0 cm wide and 30.0 cm long. If it rotates at a
uniform rate of 3000 revolutions per minute about an axis parallel to its long side and
at right angles to a uniform magnetic field of flux density 0.04T, find the peak value
of the emf induced in the coil. (2)

(d) (i) A metallic circular disc of diameter d is in a uniform magnetic field of flux density
B and the plane of the disc is perpendicular to the field. If the disc is rotated at a
frequency f, derive an expression for the emf developed between its centre and rim.
(4)
(ii) Describe an experiment to measure resistance by means of a rotating disc in a
magnetic field. (5)
[ST. HENRY’S COLLEGE, KITOVU]

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SECTION D (Electricity)

1(a) For a source of electricity, what is meant by


(i) electromotive force (1)

(ii) internal resistance? (1)

(b) (i) State the factors which determine the resistance of a wire of a given material. (2)

(ii) Explain why the resistance of a metal increases when the temperature of the metal
is increased. (2)

(iii) Derive an expression for the equivalent resistance of three resistances, R 1, R2 and
R3 connected in series. (3)

(c) You are provided with about 1 m of a bare constantan wire, an ammeter, a voltmeter,
crocodile clips and some connecting wires.
Describe an experiment you would perform, using all but only the items provided, to
determine the internal resistance of a cell. Give a diagram of your setup. (5)

(d) In the circuit shown below, each source has en e.m.f of 2V and negligible internal
resistance.

A 5 B 3 C
E E
R

When a voltmeter is connected between A and B, it reads 0V. Find

(i) the value of the resistance R. (4)

(ii) the reading of the voltmeter when connected between B and C. (2)

[MAKERERE COLLEGE SCHOOL]

2(a) Explain why the terminal p.d falls as the current drawn from a source increases. (3)

(b) A d.c source of e.m.f 12 V and negligible internal resistance is connected in series
with two resistors of 400  and R ohms, respectively. When a voltmeter is connected
across the 400  resistor, it reads 4 V while it reads 6 V when connected across the
resistor of R ohms. Find the:

(i) resistance of the voltmeter (6)

(ii) value of R (1)

(c) Describe how you would use a slide wire potentiometer to measure the internal
resistance of a dry cell. (5)
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(d) In the circuit diagram shown below, AB is a slide wire of length 1.0 m and resistance
10 . X is a driver cell of e.m.f 3.0 V and negligible internal resistance. Y is a cell of
e.m.f 2.2 V and internal resistance 1.0
When the centre-zero galvanometer is connected in turns to points e and f, the balance
lengths obtained are 45.0 cm and 80.0 cm respectively.
Calculate the:
(i) current flowing through R1. (3)
(ii) resistances of R1 and R2. (2)

2
X 3.0V

A B

d e f
R1 R2

Y 2.2V, 1

[ST. MARY’S S.S KITENDE]

3 (a) Define the following terms as applied to a capacitor.


(i) capacitance (1)

(ii) dielectric strength (1)

(b) Explain the action of a dielectric in a capacitor. (4)

(c) Describe an experiment to show that capacitance is affected by the thickness of the
dielectric. (4)

(d) Derive an expression for the energy stored in a capacitor of capacitance C charge to a
p.d V. (5)

(e) In the circuit shown below switch K is open, capacitors A and B have respective
capacitances of 10F and 15 F and are charged to p.ds of 25 V and 20 V
respectively.
+A-

K
G
+ -
B
©KCB PHY DEPT 2019 AS VISIONARY AS AN EAGLE Page 10
A ballistic galvanometer G, with sensitivity of 2 divisions per C joins the positive
plates of the capacitors. If K is now closed, what will be the throw on G? (5)

[MENGO SENIOR SCHOOL]

4(a) (i) State Coulomb’s law of electrostatics. (1)

(ii) Define the terms electric field intensity and electric potential at a point. (2)

(b) (i) Sketch graphs of the variation of electric potential and electric field intensity with
distance from the centre of a charged conducting sphere. (2)

(ii) Describe how a conducting body may be positively charged but remains at zero
potential. (3)

(iii) Explain how the presence of a neutral conductor near a charged conducting sphere
may reduce the potential of the sphere. (3)

(d) Charges of -1C, +8C and +1C are placed at the corners of a square of side 20
cm as shown below

20cm
-1C P

20cm

+8C +1C

Calculate the:
(i) electric potential at P (4)

(ii) electric field intensity at P (5)

[MARYHILL HIGH SCHOOL]

5(a) Explain how objects get charged by rubbing. (3)

(b) The diagram shows two metallic spheres A and B placed apart and each supported on
an insulating stand. A positively charged plate C is placed mid-way between them but
without touching them.

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A C
B

B is momentarily earthed in the presence of C. Finally C is withdrawn.

(i) Draw the spheres at the end of the operation and show the charge distribution over
them. (2)

(ii) On the same diagram sketch the electric field pattern in the region of the spheres.
(2)
(iii) Explain the change in p.d between the spheres as the spheres are moved further
apart. (2)

(c) Describe an experiment to show that excess charge resides outside a hollow
conductor. (5)
(d) Charges of -3C, +4C and +3C are placed at the corners P, Q and R of a
rectangular frame PQRS in which PQ = 3 cm and QR = 4 cm as shown in the figure
below
P S

3cm

Q 4cm R
If the charges are in vacuum, calculate the magnitude of the electric intensity at S due
to the charges. (6)

[NTARE SCHOOL]

6(a) Define
(i) capacitance (1)

(ii) dielectric strength (1)

(b) Describe an experiment to show the relationship between capacitor charge and
potential difference. (5)

(c) Derive an expression for the equivalent capacitance of three capacitors connected in
series. (3)

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(d) Two large metal plates, placed parallel to each other and separated by dry air, form a
capacitor. The arrangement is given a charge, then isolated and finally an ideal
voltmeter is connected across its plates as shown.

V
Explain what is observed on the voltmeter reading when

(i) an insulating material is inserted in between the plates. (2)

(ii) the separation of the plates is increased. (2)


(e) When two capacitors, C1 and C2 are connected in series and the combination
connected to a supply V the charge stored by C1 is 8C while the p.d. across C1 is 4V.
When the capacitors are connected in parallel to the same supply the total charge
stored by the combination is 36C. Given that C1< C2, find;

(i) the capacitances of the capacitors (4)

(ii) the p.d, V, of the supply (2)

[NDEJJE S.S.S]

PAPER ONE QUESTIONS


SECTION A (MECHANICS)
1. (a) (i) What is dissipative force? (1)
(ii) Give three examples of dissipative force (1)
(b) Experiments show that the frequency, f of a turning fork depends on
the length, l of the prong, the density ρ and young’s modulus Y. Using
dimensional analysis,

()
1
k Y
f= 2
Show that; l ρ k is a dimensionless constant.
(c)

U1
wall

Q P

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The figure above Shows a ball P of mass M1 and another ball Q of mass M2
placed on a smooth horizontal table which rests against a vertical wall. Q is
stationary, and P moves towards it with a velocity U 1. If both P and Q move
with the same speed after P has undergone a collision with Q and then with
the wall, and assuming that all collisions are perfectly elastic, show that,
2
( m2 −m1 ) =m1 ( m1 +m2 )
(d) A darts player stands 3.0m from a small soft board of mass 0.20kg which
is suspended freely. The player throws a dart of mass 0.05kg such that the
dart leaves his hand with a horizontal velocity at a point 1.80m above the
ground. Assuming that air resistance is negligible, calculate the;
(i) time of flight of the dart
(ii) Initial speed of the dart
(iii) height to which the bottom of the soft board rises after the dart has
embedded itself into it.
(NAALYA S.S.S NAMUGONGO)

2. (a) Define the term work hardening as applied to materials.


(1)
(b) A metal bar of length, L, Young’s modulus, E, Gross – sectional area,
A and Linear expansivity, α ,is heated. If the temperature rise is θ0 C ,
derive an expression for the force exerted at the ends of the bar.
(3)
(c) Explain three ways of strengthening materials.
(3)
(d) A composite wire 2m long is made of two identical wires each of
Young’s modulus equal to 1.2x1011Nm-2 respectively. If it is fixed
vertically and made to support a 7kg mass in equilibrium at its free end,
find the ratio of energy stored in the composite parts.
(e) Explain why an aero plane has to slant in air in order to turn along a
bent horizontal part.
(f) A car of width 170cm goes round a horizontal bend of radius 200m. If
its centre of gravity is 50cm above the ground, calculate the maximum
safe speed for it not to topple. (3)
(OUR LADY OF AFRICA S.S.S)

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3. (a) (i) Account for the existence of inter molecular forces. (2)
(ii) Sketch a graph of potential energy against separation of two molecules
in a substance.
(3)
(b) (i) Define surface tension.
(1)
(ii) Use the molecular theory to account for the surface tension of a
liquid. (3)
(iii) Show that the excess pressure, P, in a soap bubble inside a liquid

P=
over outside pressure is given by r where r is the radius of the
bubble and ɣ its surface tension.
(4)
A soap bubble of diameter 1cm is formed at the top of a capillary tube of
diameter 1mm dipping into a beaker of water. If the surface tensions of
water and soap solution are 7.0x10-2 Nm-1and 3.0x10-2Nm-1 respectively.
Calculate the height of water in the capillary tube above the water and
state any assumptions you have made.
(5)
(d) Explain why large mercury drops flatten out where as small ones
assume spherical shapes.
(NAALYA S.S.S, BWEYOGERERE)

4. (a) (i) Distinguish between lamina and turbulent flow.


(2)
(ii) Describe an experiment to demonstrate the two types of fluid flow.
(4)
(b) State Bernoulli’s principle
(1)
(c) Water enters a house through a pipe with an inside diameter of 2.0cm
at a pressure of 4.0x105Nm-2. The pipe leading to the second floor
bathroom 5.0m above is 1.0cm in diameter. When the flow velocity at the
inlet pipe is 4.0ms-1, find;

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(i) the flow velocity
(ii) the pressure, in the bathroom.
(d) (i) State the factors on which the volume of a liquid issuing from a
pipe per second depends.
(ii) Show that the volume of a liquid issuing from a pipe per second, V is
given by

KPa 4
V= where K is a dimensionless constant
ηl , (4)
(e) Explain the origin of viscosity in a liquid. (3)
(SEROMA CHRISTIAN HIGH SCHOOL)

SECTION B (HEAT)
5. (a) Describe changes that occur when a gas undergoes:
(i) A reversible isothermal expansion (2)
(ii) A reversible adiabatic expansion.
(2)
(b) State the first law of thermodynamics and explain how the law is
applied when the gas is;
(i) heated at constant volume
(ii) compressed adiabatically
(3)
(c) Derive an expression relating molar heat capacity at constant
C
pressure, C P and molar heat capacity at constant volume, V .
(4)
(d) Given that helium gas is an ideal gas and monatomic of molecular
mass 4.0, derive an expression for the total translational kinetic energy of
the molecules of 1.0g of helium at temperature 1K, hence calculate the
principal heats of the gas. Use molar gas constant R as 8.3 Jmol -1K-1 .
(e) A container at a temperature of 27ºC contains air and saturated
vapour. The total pressure inside the container is 1.0x105Pa. If the
saturated vapour pressure of water at 27ºC is 2.1x103Pa and the total
pressure inside the container is 1.184x105Pa at a temperature of 80ºC.
Find the saturated vapour of water at 80ºC.

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(4) (ST. JOSEPH
OF NAZARETH HIGH SCHOOL)

6. (a) What assumptions are necessary in the derivation of the kinetic


theory expression for the pressure of an ideal gas?
(4)
20 −26
(b) A beam of 2×10 nitrogen atoms each of mass 2 .32×10 kg is incident
normally on a wall of a cubical container of edge 5.0cm. The beam is
reflected through 180º. If the mean speed of the atoms is 500ms -1, find
the pressure exerted by the Nitrogen gas.
(4)
(c) (i) State Dalton’s law of partial pressures. (1)
3 3
(ii) Two containers A and B of volume 3×10 cm3 and6×10 cm3 respectively
3
contain Helium gas at a pressure of 1 .0×10 Pa and temperature 300K.
Container A is heated to 373K while container B is cooled to 273K. Find
the final pressure of the Helium gas.
(5)
(d) (i) Use the kinetic theory of gases to explain the effect of increasing
temperature on saturated vapour pressure.
(3)
(KING’S COLLEGE, BUDO)

7. (a) With the aid of a diagram, discuss briefly variations of temperature


gradient for a steel bar when the bar is;
(i) Unlagged (ii) Lagged
(b) (i) In the determination of thermal conductivity of a poor conductor
such as cork, the substance is made thin and fairly of large cross-
sectional area. Explain why this is so.
(2)
(ii) Describe how the thermal conductivity of cork can be determined.
(5)

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(c) A pan of diameter 20.0cm and thickness 2.0mm is filled with water
and heated such that the water boils producing steam at a rate of 5.0gs -1
at steady state conditions. Taking the coefficient of thermal conductivity
of the material of the pass to be 380Wm- 1K-1 and the specific latent heat
of vaporization of steam as 2.26x106Jkg-1
(i) Calculate the temperature of the external surface of the pan. (4)
(ii) State the assumptions made. (1)
(d) (i) State Stefan’s law of black body radiation.
(1)
(ii) As a piece of charcoal is steadily heated up, it appears reddish in
colour before turning white. Explain this observation.
(3)
(e) (i) State Prevost’s theory of heat exchange. (1)
(ii) The ratio of the distance of the earth from the sun to Venus from to

the sun is 1 : 0.72 . Assuming they all radiate as black bodies, calculate
the approximate mean temperature of Venus if that of the earth is 15ºC.
(GREEN HILL ACADEMY)

SECTION C (MODERN PHYSICS)


8. (a) Define the following terms as applied to radioactivity
(i) Radioactive decay
(ii) Decay constant
(iii) Activity
(iv) Half life.
(b) State the decay law
− λt
(ii) Using the decay law derive the expression N=N o e , hence or
otherwise, derive the expression relating half-life and the decay constant.
(All symbols have their usual meanings).
(c) Briefly explain how half-life can be obtained from an activity – time
graph for short-lived isotopes.
25
Na
(d) Amass of 4g of the nuclide 11 decays by emission of β – particle.
Its half-life is 71 seconds. Find the;-

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25 Na
(i) Number of 11 atoms initially present.
(ii) Initial activity of the sample.
25
Na
(ii) Number of 11 atoms present after 20 minutes.
(BULOBA HIGH SCHOOL)

9. (a) (i) State the conditions under which photoelectric emission occurs.
(iii) Describe an experiment to determine the work function of a metal
surface.
(b) The work function of tungsten is 4.49eV ultraviolet radiation of wave
length 250nm falls on the surface. Calculate
(i) Cut off wave length for photo emission
(ii) Stopping potential.
(c) (i) Briefly describe how cathode rays are produced.
(ii) State the differences between cathode rays and X-rays.
(d) A beam of electrons is accelerated through a p.d of 2.5x10 3V. It is
directed midway between two horizontal plates of length 4.0cm and
separation 2.0cm. Determine the flux density of a magnetic field which,
when made co-terminate with the electric field, compensates for the
electric field deflection (p.d between the plates is 1000V).
(KING’S COLLEGE, BUDO)

10. (a) Define:


(i) Unified atomic mass unit
(ii) Dead time
(b) (i) Describe the structure and action of a Geiger – Muller tube.
(ii) Why is the anode thin in b(i) above?
(iii) Draw the characteristic curve for a Geiger – Muller tube. Identify
giving reasons, the part of the characteristic curve where the tube
is normally operated.

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(c) A nucleus of Uranium disintegrates to Thorium (Th) with emission of
238 U=238 .1294 U 234 Th
an alpha particle. Given that mass 92 mass of 90 =
234.11650U, mass of α -particle = 4.00387U
(i) Write a balanced equation for the reaction above.
(ii) Calculate the velocity of the alpha particle
(d) State two hazards of radiation.
(e) Explain the occurrence of:
(i) absorption line spectrum
(ii) emission line spectrum
(f) The ground state of a Hydrogen atom is 13.4eV and the next two
energy levels are -3.34eV and -1.5eV respectively. A Hydrogen atom is
excited from the level -1.5eV to the ground state.
(i) Calculate the wave length of the radiation emitted and state the part of
the electromagnetic spectrum in which it lies.
(ii) State and explain the ionization potential.
(ST. JOSEPH GIRLS’ NSAMBYA)
END

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