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Physics EMPA hints and tips

Physics EMPA Hints and Tips (2)

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Empa hints and tips

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Physics EMPA hints and tips

Physics EMPA hints and tipsUse the instrument precision. Instrument precision is defined as the smallest non-zero reading measured by the instrument, and refers to the actual graduations on the scale of the instrument. A metre ruler with mm graduations would have a precision of + 1 mm.For single readings, or multiple identical readings, taken by this type of ruler the estimate of uncertainty would be + 1mmUncertainty in a single readingCalculate the mean valueEstimate the uncertainty using:Uncertainty = 0.5 X spread

e.g. 5 readings of length: 0.15mm, 0.12mm, 0.16mm, 0.13mm, 0.14mmMean = 0.14mmUncertainty = 0.5 x (0.16-0.12) = 0.02mm Length = 0.14 0.02mmUncertainty estimates with repeat readingsCalculate the % uncertainty in the area of a metal wire given that diameter is 0.16 0.01 mm% uncertainty in diameter = (0.01/0.16) 100 = 6.3 %

area is proportional to diameter squared % uncertainty in area = 6.3 + 6.3 = 12.6 %Combining Uncertainties Example 1Calculate % uncertainty in the speed measurement given the following uncertainties in distance and time measurements% uncertainty in distance = 0.5 %% uncertainty in time = 2.5 %

% uncertainty in speed = 0.5 + 2.5 = 3.0 %Combining Uncertainties Example 2Use the format:variable symbol solidus unitYou should not name the variable in full. e.g. eg V/mV is correct, output pd of solar cell in millivolts is not

Unless directed otherwise, put all data in one table, from raw data on the left, to processed values for plotting on the right.

Tables and Graphs1 mark for each of the following points:Labelling of axesSuitable ScalesLine of best Fit

AS Graphs1 mark for each of the following points:Plotting of pointsLine of best fitReading data for calculation of gradient, and suitable size triangleGradient value, with appropriate significant figures

A2 Graphs100806000123Marking the origin correctly on a graph, eg PHAB3X Sec A Part 1 Q2(b)Unacceptable: the marking of the origin as above produces a non-linear scale which will always be penalised.100806000123Solution: use of the broken scale convention resolves the problem but watch out if a gradient calculation is then required.10080600123Unacceptable: leaving an origin unmarked on either axis will not be accepted; the scale will still be treated as non-linear since the origin is now ambiguous.1008060400123Solution: use of a false origin is acceptable but candidates should be careful if they are then asked to calculate the gradient.Finding an intercept which cannot be read directly, eg PHAB3X Section B Q1(a)While the intercept on the horizontal axis can be read directly, the vertical intercept can not.Candidates gain no credit for extending the line off the grid into the margin.00white rectangle represents edge of grid printed in answer bookletWhen answering Section B, candidates should not be given the opportunity to re-plot graphs.The use of algebra is expected if the intercept cannot be read directly.Significant Figures in a Previous Paper:To test the theory that R = kL2 candidates were expected to evaluate R/L2 for every row of the table. L/cmR/Wfor use in answering part (a)6.62.910.67.613.813.017.821.621.430.4L/cmR/Wfor use in answering part (a)6.62.90.06710.67.60.06813.813.00.06817.821.60.06821.430.40.066L/cmR/Wfor use in answering part (a)6.62.90.0666 [0.067]10.67.60.0676 [0.068]13.813.00.068317.821.60.068221.430.40.0664Many candidates forfeited marks because they truncated their results to2 significant figures; in at least 3 rows of the table, 3 sf was justified.TablesIndependent variable must be in left hand column of tableQuote to max possible significant figures (e.g. 1.10 V if instrument precision is 0.01V)GraphsPoints on a graph should cover at least half the grid horizontally and vertically.All points must be plotted Marks are forfeited if plotted > 1mm from correct positionMarks can be forfeited if > 2mm from trend line

In addition: from recent mark scheme:Use the convention variable symbol solidus unit for table headings and graph axes; a bracket is essential if the log of a variable is involved, eg ln(variable/unit)

When compressing a graph scale use the broken scale convention if marking the origin (0, 0) otherwise mark a false origin

AS and A2 candidates should be able to calculate the intercept on a graph if this cannot be read directly

The result of a calculation should be to the same number of significant figures as the least accurate data used in the calculation

Tables and Graphs Summary