A stone is projected vertically upward with a speed of 30 ms” from the top of a tower of
v2 =u2 – 2gx
At maximum height v = 0
o = 302 – 2 x lOx
o = 900 – 20 x
x = 45m.
Height from ground = 50 + 45
A force of 40 N is applied at the free end of a wire fixed at one end to produce an
(a) Stress = Force = F
3.14 (1.0 X 10-3)2
= 1.27 X 10-7 Nm-2
(b) Strain = Extemion or e
= 0.24 X 10-3
= 8.0 X 10-5
When a lead-acid accumulator is fully charged, evolution of gases occurs at the electrodes. Name these gases and the respective electrodes at which they are given off.
The gases are :
The electrodes at which they are evolved:
(i) Hydrogen Anode/lead peroxide
(ii) Oxygen Cathode/lead plate
(a) State two factors which affect the mass of elements deposited during electrolysis.
(b) List two non-electrolytes.
(a)Any two correct factors
current/quantity of charge
nature/e.c.e of element.
(b)Any two correct non-electrolytes
(a) Differentiate between plane polarization and interference as applied to waves.
(a) Any 2 correct pair
(b) Any two correct uses of polaroids 2 x 1/2 mark
e.g They are used in:
production of 3-dimentional films
determination of concentration of sugar solution
(a) (i) Any two correct examples
(ii) Any correct two examples
(b) A liquid is visco static if of its viscosity does not change (appreciably) with change in temperature.
(a) are deflected by electric and/or magnetic field(s)
(b)travel in straight paths (rectilinear propagation)
eV = 1/2mv2
1.6 x 10-19 x 2500 = Yz x 9.1 X 10-31 x v2
v2 = 8.79 X 1014
V = 2.96 X 107 ms2;
(a) Any correct 2
Helium nucleus/alpha particle
(b)Wave characteristics exhibited are:
a) It is impossible to determine (accurately) both the wave properties of matter and its particulate properties at the same time OR In any simultaneous determination of the position x and momentum p of a particle, there.
is an uncertainty in its position L\ x and an uncertainty in its momentum ∆p.
(b) 1) ORh
(a)Any 2 correct pairs
(c)(i) 1st stage of motion
x = ut + 1/2at2
120 = 0 x 12 + 1/2 X a x 122
V1 = 5/3 x 12 = 20 ms-1
2nd stage of motion
x = ut + 1/2at2
300 =, 20 x 12 + ½ x a x 122
60 = 72a
a = 5/6
V = 5/6 x 12 = 10
V2= 10 + 20
3rd stage of motion
x = ut + 1/2at2
180 == 30 x 12 + ½ x a x 122
180 = 72 a
a = – 5/2
V = -5/2 x 12= -30
V3 = 30 + -30
= 0 ms·1
Correct shape of each segment in relation to axes
Origin, (0.0) labeled
Only one axis labeled
(a)Explain the terms:
(ii) Inertia mass.
(b)List three factors which affect the rate of evaporation of water in a pond.
(c)Two ice cubes pressed together for some time were found to stick together when the pressure was removed. Explain this observation
(d)Two vertical capillary tubes of the same diameter are lowered into beakers situated at the same level containing liquids A and B of densities 9.2 x 102 kgm -3 and 1.30 x 103 kgm-3respectively. A suction pump is used to withdraw air from the top of the liquid columns in the tubes by means of aT-piece arrangement until the liquid in a rises to a height of26.0 ern. Calculate the height of the liquid in tube B.
(a)(i)Inertia is the reluctance of a body to move if it is at rest or to stop if it is already in motion. The more mass a body has the greater its inertia.
(ii) Inertial mass represents resistance to any type of force whatever the more mass a body has the more force that is required to give it an acceleration. the mass of anobject appearing in the expression
Force = mass x acceleration is the inertial mass
(b)Any 3 correct factors
humidity/dryness of the air
( c) Ice melts if ( sufficient) pressure is applied to it. This is because an increase in pressure lowers the melting point of ice. When the two ice cubes are pressed together, melting point of ice is lowered, so they melt to form a thin layer of water (between them). On releasing the pressure, the water formed freezes because decrease in pressure raises the freezing point. Hence the two cubes stick together.
hAPA = hB PB
26xO.92x 103 =hBx 1.30 x 103
hB = 26xO.92x 103
1.30 x 103
= 18.4 cm
(a) State two factors which affect the angle of deviation of a ray of light through a triangular glass prism.
The slope represents speed of the wave.
(b)A proton moving with a speed of 5.0 x 105 ms-1; enters a magnetic field of flux density 0.2 T at an angle of 30° to the field. Calculate the magnitude of the magnetic force exerted on the proton.[proton charge = 1.6X 10-19C]
The diagram above illustrates 9.0 V battery of internal resistarIce 0.5Ωconnected to two resistors of values 2.0Ωand R Ω A1,A2 and A3, are ammeters of negligible internal resistances. If A1 reads 4.0 A, calculate the:
(a)The candle flame ionizes the air around it. .
The positively charged conductor attracts the negative charges in the air and repels the positive charges.
(b)F = qvB Sin θ .
= 1.6 X 10-19 X 5.0 X 105 X 0.2 X Sin 30°
= 0.8 X 10-1
(c)(i)E = I (Rc + r)
9 = 4(Rc + 0.5)
R: = 9/4-0.5
(ii) Lost volt = Ir = 4.0 X 0.5 =2.0 V
V oltage across 2Ωand RΩ
V = 9.0-2.0 =7.0V
Current in A2 = I2 = V/R2= 7/2 = 3.5A
Current in A3 =I3 = V/R = 7/14 = 0.5A
A3 = A1 – A2
= 4.0 – 3.5 = 0.5A
(iii) 1/RC = 1/R + 1/R2
1/1.75 = 1/R + 1/2
1/R = 1/1.75- 1/2
R = 14Ω
(a) State three conclusions that can be drawn from Rutherford’s experiment on the scattering of alpha particles by a thin metal foil in relation to the structure of the atom.
The diagram above illustrates the energy levels of an electron in an atom. If an excited electron moves from n2 to ns. Calculate the:
of the emitted radiation.
[h = 6.6 X 10-34 Js; 1eV= 1.6 X 10-19 J; C = 3.0 X 108 ms” ]
(c)The following nuclear equations represent two types of radioactivity.
Identify each type and explain briefly the difference between them.
(a) Any three correct conclusions
The nucleus is massive
Most of the atom is empty space
The nucleus is positively charged
Electrons revolve round the nucleus
It explains the periodicity of elements in the periodic table
(b )(i) E20 = E2– E0
= -2.0 – (-12.0)
= 10.0 e V
= 10 x 1.6 x 1O-19J
= 1.6 x 1018
= 2.424 x 1015 Hz
(ii) c = fλ
= 3 X 108
2.424 x 1015
(c) A: Natural radioactivity
B: Artificial radioactivity
Any correct difference