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A student carries out an experiment to determine the specific heat capacity c of a solid - Scottish Highers Physics - Question 20 - 2018

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A student carries out an experiment to determine the specific heat capacity c of a solid. The relationship used to calculate c is $$c = \frac{E}{m \Delta T}$$ The ... show full transcript

Worked Solution & Example Answer:A student carries out an experiment to determine the specific heat capacity c of a solid - Scottish Highers Physics - Question 20 - 2018

Step 1

Calculate the percentage uncertainty for each measurement

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Answer

  1. For energy supplied, the percentage uncertainty is 1%.
  2. For mass of solid, the percentage uncertainty is 2%.
  3. For change in temperature, the percentage uncertainty is 5%.

Step 2

Combine percentage uncertainties

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Answer

To find the total percentage uncertainty in c, we sum the absolute uncertainties related to multiplication and division in the formula:

Total Percentage Uncertainty=uncertainty in E+uncertainty in m+uncertainty in ΔT\text{Total Percentage Uncertainty} = \text{uncertainty in } E + \text{uncertainty in } m + \text{uncertainty in } \Delta T

This gives us:

1%+2%+5%=8%1\% + 2\% + 5\% = 8\%

Step 3

Choose the best estimate

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Answer

From the calculations, the best estimate of the percentage uncertainty in the calculated value of c is 8%, corresponding to option A.

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