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Edexcel | Physics WPH0 | S 13 6 1 | 1 hour 30 minutes

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1

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A student is asked to determine the density of two coins, X and Y, to decide if they are

made from the same material. The diameter of each coin is about 25 mm.

1

(a) (I)

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1 Mark

She uses vernier callipers to measure the diameter of coin X.

Show that the percentage uncertainty for this measurement is less than 1%.

Divides precision by 25 mm for % uncertainty (1)

Example of calculation

Callipers precise to 0.1 mm giving %U = 100 × (0.1/25) = 0.4% less

than 1%

1

(a) (II)

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1 Mark

Apart from repeating her readings, state one precaution she could take to ensure

each measurement is as accurate as possible.

Check for zero error (1)

Or Any valid method to ensure a ‘maximum’ diameter measured

e.g. measure diameter at several places (1)

1

(a) (III)

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1 Mark

The student measures the thickness of coin X using a micrometer screw gauge.

She takes measurements at different points on the coin.

Explain why this would make the mean value for the thickness more accurate.

Thickness of coins varies

Or Identifies anomalies

Or Enables her to discard anomalies

1

(b)

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She records the following values for coin X:

diameter/mm 25.9, 25.9, 25.9

thickness/mm 1.80, 1.84, 1.82

1

(b) (I)

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2 Mark s

Use these measurements to calculate the mean value for the volume of coin X.

Mean value for the volume of coin X =

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(b) (II)

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3 Mark s

Use the measurements to estimate the percentage uncertainty in the volume.

Percentage uncertainty =

Calculates %U in thickness (1)

Calculates %U for diameter (1)

Doubles their %U for diameter adds their %U for thickness (1)

Example of calculation

(2×(1/259) + (2/182)) × 100% = 0.8% + 1.1% = 1.9%

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(c)

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She measures the mass of coin X as 7.08 g with negligible uncertainty.

Calculate the density of coin X.

Density of coin X =

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(d)

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Use these measurements to decide if the coins are made from the same material.

Calculates %Difference between their value and 6900

(allow as denominator either of the values or the mean) (1)

Compares with 2 × %U to reach conclusion

(Allow ecf from (b) and (c)) (1)

Or

Adds their %U to 6900 and subtracts their %U from 7380 (1)

Draws a conclusion based on their answer (1)

Example of calculation

%D = (7380 – 6900)/7140 = 6.7%

Total %U = 2 × 1.9% = 3.8% < 6.7%,

so (probably) not the same material

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