**SUKELLEMO JOINT MOCK****Kenya Certificate of Secondary Education****PHYSICS PAPER 3****2 ½hours **

**Instructions to Candidates**

- Answer all the questions in the spaces provided.
- All working must be clearly shown.
- You are supposed to spend the first 15 minutes allowed for this paper reading the whole paper carefully before commencing your work and confirming your apparatus.
- Marks are given for a clear record of the observations actually made, their suitability, accuracy and for the use made of them.
- Candidates are advised to record observations as soon as they are made
- Non-programmable silent electronic calculators and KNEC mathematical tables may be used.

**QUESTION ONE**

**PART A**

You are provided with the following apparatus.

- meter rule.
- electronic beam balance ( shared)
- vernier callipers ( shared)
- measuring cylinder
- boiling tube.

Proceed as follows;

- Measure the length l of the boiling tube provided using a metre rule

l = (1mark) - Measure the external diameter d of the boiling tube at the middle using a Vernier callipers.

d=(1mark) - Calculate the external volume of the boiling tube. (1mark)
- Completely fill the boiling tube with water. Pour the water into the measuring cylinder Read and record the volume V
_{2}of the water.

V_{2}= (1mark) - Calculate the volume V
_{3}of the glass used to make the boiling tube. (1mark) - Using the electronic balance measure the mass of the boiling tube
- Mass = (1mark)
- Determine the density of the glass. (1mark)

**PART B**

You are provide with the following

- A wire mounted on a millimetre scale labelled AB
- A galvanometer.
- Jockey
- A carbon resistor labelled X .
- 8 Connecting wires, 4 with crocodile clips at both ends.
- A resistance wire labelled R mounted on a half meter rule
- Ammeter
- Voltmeter
- One dry cell in a cell holder
- Micrometer screw gauge

Proceed as follows:

- Set up the circuit as shown below.
- Record the voltmeter reading when the switch is open.

E = (1mark) - Close the switch and record the voltmeter and ammeter readings V and I.

V = (1mark)

I = (1mark) - Explain why V is less than E . (1mark)
- Now connect the voltmeter across the carbon resistor X and record voltmeter reading V
_{1 }when the switch is on.

V1 = (1mark) - Determine X given that X =
^{V1}/_{I}(1mark)

- Record the voltmeter reading when the switch is open.
- Using the micrometre screw gauge, measure and record the diameter D of the resistance wire R provided

D = (1mark) - Now connect another circuit as shown in the figure below.

Touch the 10cm mark and the 90 cm mark and see that the galvanometer deflects in opposite direction in each case.- Move the sliding jockey along the resistance wire AB and note the length L1 and L2 where the galvanometer pointer points at the zero mark. Record the values of L1 and L2.

L1 = (1mark)

L2 = (1mark) - Determine the resistance of the resistance wire R using the relationship, (2marks)
^{R}/_{L1}=^{X}/_{L2} - Determine the resistance of the wire R per metre. (1 mark)
- Given that, R = 0.1114S determine the value of S , where R is the resistance per metre. D
^{2 }(1mark)

- Move the sliding jockey along the resistance wire AB and note the length L1 and L2 where the galvanometer pointer points at the zero mark. Record the values of L1 and L2.

**QUESTION TWO**

**PART A**

You are provided with the following;

- Soft board
- Vernier calipers
- Rectangular Glass block
- Four optical pins.
- Plain sheet of paper.
- Two thumb tacks
- Protractor

Procedure;

- Measure and record the width t of the glass block using the vernier calipers provided.

t = (1 mark) - Fix the white plain paper on the soft board using the two thumb tacks.
- Place the glass bock on the paper, trace its outline and label it ABCD ,as shown.
- Remove the glass block and draw a normal, say at point O.
- Draw a line making an angle of 300 with the normal to represent the incident ray.
- Replace the glass block carefully to its original position.
- Fix two pins P
_{1}and P_{2}on the line in such a way that they are vertical and at least 4cm apart. - Looking through the glass block through face AB, fix two pins P
_{3}and P_{4}so that they are exactly in line with the P_{1}and P_{2}. Mark the positions of P_{3}and P_{4}Join P_{3}and P_{4}and produce the line to meet face AB of the block at O^{1}. Join O and O^{1}. Measure angle O^{1}OP.

Also, Measure angle- OO
^{1}P. - O
^{1}OP = (1mark) - OO
^{1}P = (1mark)

Measure the perpendicular distance d from the line O1N to OP produced. - d = (1mark)
- Determine t
_{1}given that ,t_{1}=^{(dcos angle(OO1P)}/_{sin angle O1OP}. (2marks) - How do the values of t and t
_{1}compare . (1mark)

- OO

**PART B**

You are provided with the following:

- A metre rule
- Two Half metre rules
- Stop watch
- A complete retort stand
- Two pieces of thread
- Some cellotape

Proceed as follows:

- Set up the apparatus as shown in figure below such that D = 2p = 20cm and q = 20cm.
**Ensure that D is kept constant throughout the experiment.**(use a piece of cellotape to fix the threads).**Make sure that the loops of thread on the half metre rule can slide along the half metre rule.**This would enable easy adjustments of distance p later in the experiment. The scale of the half metre rule should be kept in a horizontal plane.

The distance p is measured from the centre of the half metre rule. - Adjust the position of the loops on the half metre rule so that p = 21cm. (ie 2p = 42cm). You may use a cellotape to keep the loop in position. Measure and record in table 1 the value of q.

N.B q is the vertical distance between the half metre rule and the metre rule. - Slightly displace one end of the half metre rule towards you and the other end away from you in a horizontal plane such that when released, it oscillates in the same plane. Measure time t for 10 oscillations. Repeat the procedures (c) and (d) for other values of p .
- Complete the table. (8marks)
p(cm) 21.0 19.0 17.0 15.0 13.0 10.0 8.0 q(cm) Time t for 10

oscillationsPeriod time T(s) ^{p}/_{q} -
- Plot a graph of T (y axis) against
^{p}/_{q}(4marks) - Determine the slope S of the graph when p/q=2.0 (2marks)
- Determine the constant k given that k=
^{s}/_{π}√Dg where g = 10m/s^{2}(2marks)

- Plot a graph of T (y axis) against

**CONFIDENTIAL**

**QUESTION ONE**

- meter rule
- electronic beam balance ( shared)
- vernier callipers ( shared)
- measuring cylinder
- boiling tube.
- A wire mounted on a millimetre scale labelled AB(use a wire of diameter 0.45mm)
- A galvanometer.
- Jockey
- A carbon resistor labelled X .(10 ohm carbon resistor)
- 8 Connecting wires, 4 with crocodile clips at both ends.
- A resistance wire labelled R mounted on a half meter rule(use a wire of diameter 0.45mm fixed on half metre rule)
- Ammeter (range 0-1)
- Voltmeter (range 0-5 or 0-2.5)
- One dry cell in a cell holder
- Micrometer screw gaug

**QUESTION TWO**

- Soft board
- Vernier calipers.
- Rectangular Glass block of width 6.50 cm
- Four optical pins.
- Plain sheet of paper.
- Two thumb tacks
- Protractor

Students will also need:

- metre rule
- Two Half metre rules
- Stop watch
- A complete retort stand
- Two pieces of thread.(each 60cm) –preferably use a laboratory thread.
- Some cellotape

**MARKING SCHEME**

**QUESTION ONE**

**PART A**

You are provided with the following apparatus.

- meter rule.
- electronic beam balance ( shared)
- vernier callipers ( shared)
- measuring cylinder
- boiling tube.

Proceed as follows;

- Measure the length l of the boiling tube provided using a metre rule

l = (1mark)**± 0.2 deny 1/2 mk for missing unit**

1d.p a must

- Measure the external diameter d of the boiling tube at the middle using a Vernier callipers.

d=**2.46cm****± 0.05 deny 1/2 mk for missing unit**

2d.p a must

- Calculate the external volume of the boiling tube. (1mark)
**Substitution of value (a) and (b)****Exact value or 4s.f. -deny 1/2 mk for missing unit**

- Completely fill the boiling tube with water. Pour the water into the measuring cylinder Read and record the volume V
_{2}of the water.

V_{2}=**62cm**^{3}**± 1cm**^{3}deny 1/2 mk for missing unit - Calculate the volume V
_{3}of the glass used to make the boiling tube. (1mark)**Ancient in (c) - V**_{2}( exact subtraction)**deny 1/2 mk for missing unit**

- Using the electronic balance measure the mass of the boiling tube
- Mass =
**0.0269 ± 0.0005****4 d.p a must**

- Mass =
- Determine the density of the glass. (1mark)
**Answer in (f) Answer in (c)****Exact evaluation or 4 s.f( ignore units)**

**PART B**

You are provide with the following

- A wire mounted on a millimetre scale labelled AB
- A galvanometer.
- Jockey
- A carbon resistor labelled X .
- 8 Connecting wires, 4 with crocodile clips at both ends.
- A resistance wire labelled R mounted on a half meter rule
- Ammeter
- Voltmeter
- One dry cell in a cell holder
- Micrometer screw gauge

Proceed as follows:

- Set up the circuit as shown below.
- Record the voltmeter reading when the switch is open.

E =**1.6 V****± 0.2 deny 1/2 mk for missing unit**1 d.p is a must. - Close the switch and record the voltmeter and ammeter readings V and I.

V =**1.0****± 0.2 deny 1/2 mk for missing unit**1 d.p is a must.

I =**0.09****1.0****± 0.2 deny 1/2 mk for missing unit**1 d.p is a must. - Explain why V is less than E . (1mark)
**Volts are lost in overcoming the internal resistance**

- Now connect the voltmeter across the carbon resistor X and record voltmeter reading V
_{1 }when the switch is on.

V1 =**1.0 V****± 0.2 deny 1/2 mk for missing unit**1 d.p is a must - Determine X given that X =
^{V1}/_{I}(1mark)**Correct substitution**

Exact evaluation or 4.s.f

Ignore units

- Record the voltmeter reading when the switch is open.
- Using the micrometre screw gauge, measure and record the diameter D of the resistance wire R provided

D =**0.00045****± 0.00005**5 d.p is a must, accept standard form of 1.d.p ie, 4.5 x 10^{-4} - Now connect another circuit as shown in the figure below.

Touch the 10cm mark and the 90 cm mark and see that the galvanometer deflects in opposite direction in each case.- Move the sliding jockey along the resistance wire AB and note the length L1 and L2 where the galvanometer pointer points at the zero mark. Record the values of L1 and L2.

L1 =**0.00035****± 0.00005**5 d.p is a must,

L2 =**0.00045****± 0.00005**5 d.p is a must, - Determine the resistance of the resistance wire R using the relationship, (2marks)
^{R}/_{L1}=^{X}/_{L2}**Correct substitution****Exact evaluation or 4.s.f****deny 1/2 mk for missing unit**

- Determine the resistance of the wire R per metre. (1 mark)
**Correct substitution****Exact evaluation 0r 4sf****ignore units**

- Given that, R = 0.1114S determine the value of S , where R is the resistance per metre. D
^{2 }(1mark)**Correct substitution****Exact evaluation 0r 4sf****ignore units**

- Move the sliding jockey along the resistance wire AB and note the length L1 and L2 where the galvanometer pointer points at the zero mark. Record the values of L1 and L2.

**QUESTION TWO**

**PART A**

You are provided with the following;

- Soft board
- Vernier calipers
- Rectangular Glass block
- Four optical pins.
- Plain sheet of paper.
- Two thumb tacks
- Protractor

Procedure;

- Measure and record the width t of the glass block using the vernier calipers provided.

t = (1 mark) - Fix the white plain paper on the soft board using the two thumb tacks.
- Place the glass bock on the paper, trace its outline and label it ABCD ,as shown.
- Remove the glass block and draw a normal, say at point O.
- Draw a line making an angle of 300 with the normal to represent the incident ray.
- Replace the glass block carefully to its original position.
- Fix two pins P
_{1}and P_{2}on the line in such a way that they are vertical and at least 4cm apart. - Looking through the glass block through face AB, fix two pins P
_{3}and P_{4}so that they are exactly in line with the P_{1}and P_{2}. Mark the positions of P_{3}and P_{4}Join P_{3}and P_{4}and produce the line to meet face AB of the block at O^{1}. Join O and O^{1}. Measure angle O^{1}OP.

Also, Measure angle- t=
**0.0650 ,****±0.010**

4 d.p a must - O
^{1}OP =**10**^{o}

±2 deny 1/2 mk for missing unit - OO
^{1}P =**20**^{o}

±2 deny 1/2 mk for missing unit

Measure the perpendicular distance d from the line O1N to OP produced. - d =
**±0.002****3 d.p a must** - Determine t
_{1}given that ,t_{1}=^{(dcos angle(OO1P)}/_{sin angle O1OP}. (2marks)**Correct substitution****Exact evaluation 0r 4sf****deny 1/2 mk for missing unit**

- How do the values of t and t
_{1}compare . (1mark)**They are equal or approximately the same**

- t=

**PART B**

You are provided with the following:

- A metre rule
- Two Half metre rules
- Stop watch
- A complete retort stand
- Two pieces of thread
- Some cellotape

Proceed as follows:

- Set up the apparatus as shown in figure below such that D = 2p = 20cm and q = 20cm.
**Ensure that D is kept constant throughout the experiment.**(use a piece of cellotape to fix the threads).**Make sure that the loops of thread on the half metre rule can slide along the half metre rule.**This would enable easy adjustments of distance p later in the experiment. The scale of the half metre rule should be kept in a horizontal plane.

The distance p is measured from the centre of the half metre rule. - Adjust the position of the loops on the half metre rule so that p = 21cm. (ie 2p = 42cm). You may use a cellotape to keep the loop in position. Measure and record in table 1 the value of q.
N.B q is the vertical distance between the half metre rule and the metre rule.

- Slightly displace one end of the half metre rule towards you and the other end away from you in a horizontal plane such that when released, it oscillates in the same plane. Measure time t for 10 oscillations. Repeat the procedures (c) and (d) for other values of p .
- Complete the table. (8marks)
p(cm) 21.0 19.0 17.0 15.0 13.0 10.0 8.0 q(cm) **(± 1.0)****17.0****18.0****19.0****20.0****20.7****20.0****19.8**Time t for 10

oscillations**(± 2.00)****8.50****9.50****10.50****10.50****12.50****13.50****17.50**Period time T(s) ^{p}/_{q}**(All must be correct - 1mk)**

( Exact or 4 s.f - 1mk)

( qcm - 1 d.p)

(time t - 2d.p) -
- Plot a graph of T (y axis) against
^{p}/_{q}(4marks)**Curve - 1mk****Accuracy - 1 mk****S - 1/2 mk****P - 1/2mk**

- Determine the slope S of the graph when p/q=2.0 (2marks)
**Tangent line drawn at**^{p}/_{q}= 2.0**Change in y, change in x, marked independently****Exact evaluation or 4.s.f.****Ignore units but award 1/2 mk if candidate has second as a unit**

- Determine the constant k given that k=
^{s}/_{π}√Dg where g = 10m/s^{2}(2marks)**Correct substitution****Exact evaluation 0r 4sf****deny 1/2 mk for missing unit**

- Plot a graph of T (y axis) against

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