If the weight of an object is measured as 50.0 kg with an uncertainty of 0.5 kg,

₹0.0

Question: If the weight of an object is measured as 50.0 kg with an uncertainty of 0.5 kg, what is the relative error?

Options:

Correct Answer: 0.5%

Solution:

Relative error = (Uncertainty / Measured value) * 100 = (0.5 / 50.0) * 100 = 1%.

If the weight of an object is measured as 50.0 kg with an uncertainty of 0.5 kg, what is the relative error?

If the weight of an object is measured as 50.0 kg with an uncertainty of 0.5 kg, what is the relative error?

Step 1: Identify the measured value, which is 50.0 kg.
Step 2: Identify the uncertainty, which is 0.5 kg.
Step 3: Use the formula for relative error: Relative error = (Uncertainty / Measured value) * 100.
Step 4: Substitute the values into the formula: Relative error = (0.5 / 50.0) * 100.
Step 5: Calculate the division: 0.5 divided by 50.0 equals 0.01.
Step 6: Multiply the result by 100: 0.01 * 100 equals 1.
Step 7: Conclude that the relative error is 1%.

Relative Error – Relative error is a measure of the uncertainty of a measurement compared to the size of the measurement itself, expressed as a percentage.
Uncertainty – Uncertainty refers to the doubt that exists about the result of a measurement, often expressed as a range or a fixed value.
Measurement – Measurement is the process of obtaining the magnitude of a quantity relative to a standard.