Error Analysis

Practice Questions:

Question 1: moderate

The diameter of a spherical bob, when measured with vernier callipers yielded the following values: 3.33 cm, 3.32 cm, 3.34 cm, 3.33 cm and 3.32 cm. The mean diameter to appropriate significant figures is:

1. 3.33 cm

2. 3.32 cm

3. 3.328 cm

4. 3.3 cm

View Answer

The mean of the values is \[\frac{3.33 + 3.32 + 3.34 + 3.33 + 3.32}{5} = 3.328 \text{cm}\]. Since the measurements are up to two decimal places, the rounded final result should also have two decimal places: 3.33 cm.

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Question 2: moderate

Consider the given statements:

Statement A: Measured value by any measuring instrument has some error.

Statement B: A measurement can have more accuracy and less precision and vice-versa.

Statement C: The magnitude of the difference between the true value of the quantity and the individual measured value is called relative error of measurement.

Choose the correct option.

1. Only statement A is true

2. Only statement B is true

3. Both statements A and C are true

4. Both statements A and B are true

View Answer

Statements A and B are correct properties of measurements. Statement C is incorrect because the described quantity is the absolute error, not the relative error.

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