If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0

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Question: If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.1 g/cm³, what is the fractional error in the density?

Options:

Correct Answer: 0.01

Solution:

Fractional error = (absolute error / measured value) = 0.1 / 8.0 = 0.0125.

If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.1 g/cm³, what is the fractional error in the density?

If the density of a substance is measured as 8.0 g/cm³ with an uncertainty of ±0.1 g/cm³, what is the fractional error in the density?

Correct Answer: 0.0125

Step 1: Identify the measured value of the density, which is 8.0 g/cm³.
Step 2: Identify the absolute error, which is the uncertainty given as ±0.1 g/cm³.
Step 3: Calculate the fractional error using the formula: fractional error = (absolute error / measured value).
Step 4: Substitute the values into the formula: fractional error = 0.1 g/cm³ / 8.0 g/cm³.
Step 5: Perform the division: 0.1 / 8.0 = 0.0125.
Step 6: The fractional error in the density is 0.0125.

Density Measurement – Understanding how to calculate density and its associated uncertainties.
Fractional Error – Calculating the fractional error as the ratio of absolute error to the measured value.