IGCSE 2020 0625/62 Feb/Mar (pdf)
- A student is determining the density of wood by two methods.
He is using the wooden rod shown in Fig. 1.1.
Method 1
The dimensions of the wooden rod are shown full size in Fig. 1.2.
(a) (i) Measure the length l and the diameter d of the wooden rod in Fig. 1.2.
(ii) Suggest an accurate method for measuring the diameter of the wooden rod in this experiment.
List any additional apparatus that might be required and briefly describe how you would determine the diameter.
You may draw a diagram if it helps to explain your answer.
(b) The student uses a balance to measure the mass m of the wooden rod as shown in Fig. 1.3.
Record the mass m of the rod.
Calculate a value ρ1 for the density of the wooden rod. Use your values from (a)(i) and (b)
Method 2
(c) The student pours water into a measuring cylinder as shown in Fig. 1.4.
He then floats the wooden rod in the water as shown in Fig. 1.5.
Record the reading V1 of the water level in the measuring cylinder as shown in Fig. 1.4.
Record the new reading V2 of the water level in the measuring cylinder with the rod floating in the water as shown in Fig. 1.5.
(d) The student removes the rod and lowers a piece of modelling clay into the water as shown in
Fig. 1.6.
He then hooks the rod to the modelling clay and lowers them into the water as shown in Fig. 1.7.
He records the new reading V3 of the water level in the measuring cylinder with the modelling clay.
He records the reading V3 of the water level in the measuring cylinder with the modelling clay and rod.
Calculate another value ρ2 for the density of the wooden rod. Use the values from (c) and (d) and the equation
(e) On Fig. 1.8, draw an arrow showing the correct line of sight for reading the volume of water in
the measuring cylinder.
(f) Suggest a possible source of inaccuracy in Method 2, even if it was carried out carefully.
- Students are investigating the cooling of hot water in a beaker.
They are using the apparatus shown in Fig. 2.1.
(a) Record room temperature θR shown on the thermometer in Fig. 2.1.
(b) A volume of 150cm3 of hot water is poured into the beaker and the initial temperature θ is recorded in Table 2.1.
The temperature of the water is recorded every 30s. The values are shown in Table 2.1.
(i) Complete the headings in Table 2.1.
(ii) Describe one precaution that you would take to ensure that the temperature readings in the experiment are as accurate as possible.
(c) (i) Calculate the average cooling rate x1 during the first 90s of the experiment. Use the readings from Table 2.1 and the equation
(ii) Calculate the average cooling rate x2 during the middle 90s of the experiment. Use the readings from Table 2.1 and the equation
(iii) Calculate the average cooling rate x3 during the last 90s of the experiment. Use the readings from Table 2.1 and the equation
(d) (i) The temperature of the water falls as time passes. Use the results from (c) to describe
the pattern of the rate of cooling of the water during the experiment.
Justify your answer by reference to the results.
(ii) Give an estimate of the probable final temperature θF of the water if left to cool for many hours.
(e) (i) A student in another school carries out a similar experiment.
She starts with the hot water at a lower initial temperature.
Suggest how her cooling rates are likely to compare with those calculated in (c).
Use the results to explain your answer.
(ii) State one variable, other than the initial temperature, which the student should control.
- A student is investigating a power supply.
She is using the circuit shown in Fig. 3.1.
(a) The student connects the crocodile clip to a length l = 100.0cm of the resistance wire and
measures the potential difference V0 across terminals P and Q and the current I0 in the
circuit.
(i) Record the values of V0 and I0 shown on the meters in Fig. 3.2 and Fig. 3.3.
(ii) Calculate the resistance R0 of 100.0cm of the wire. Use your values of V0 and I0 and the equation
(b) The student then connects the crocodile clip to lengths l = 70.0cm, 60.0cm, 50.0cm, 40.0cm
and 30.0cm of the resistance wire. She measures the current I in the circuit for each length.
Her readings are shown in Table 3.1.
Calculate, and record in Table 3.1, the value of 1/I for length l = 70.0cm of the wire.
(c) Plot a graph of l/ cm (y-axis) against
(d) (i) Determine the gradient G of the graph. Show clearly on the graph how you obtained the
necessary information.
(ii) Calculate the electromotive force (e.m.f.) E of the power supply. Use your value of R0
from (a)(ii) and the equation
(e) The ammeter in this circuit has a small resistance which affects the current. The effect of
this resistance on the measured current I will be different for each measured length l of the
resistance wire.
State and explain which length l will be most affected by the resistance of the ammeter.
- A student investigates a wind turbine, which is an electrical generator driven by a propeller blade.
Plan an experiment which will enable him to investigate how the current in a resistor connected
across the terminals of the turbine varies with the speed of the air flow through the turbine.
The apparatus available includes:
a model wind turbine as shown in Fig. 4.1
an electric fan to provide the moving air to turn the turbine
a device for measuring air speed.
In your plan, you should:
- list any additional apparatus needed
- complete the wind turbine circuit diagram on Fig. 4.1
- state the key variables to be kept constant
- explain briefly how to carry out the experiment, including how the speed of the air flow is to
be changed
- explain how to use the readings to reach a conclusion.
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