Error Analysis - NEET Physics Questions
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Error Analysis

Practice Questions:
Question 21: easy

Taking into account of the significant figures, what is the value of \(9.99 \text{m} – 0.0099 \text{m}\)?

[NEET 2020]

1. \(9.98 m\)
2. \(9.980 \text{m}\)
3. \(9.9 \text{m}\)
4. \(9.9801 \text{m}\)
View Answer

The numbers are \(9.99 \text{m}\) (2 decimal places) and \(0.0099 \text{m}\) (4 decimal places). For subtraction, the result should have the same number of decimal places as the number with the fewest decimal places (2 in this case). \(9.9900 - 0.0099 = 9.9801\). Rounding \(9.9801\) to 2 decimal places gives \(9.98 \text{m}\).

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Question 22: 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 23: easy

Following observations were taken with a vernier calliper while measuring the length of a cylinder: \(3.29 \text{cm}\), \(3.28 \text{cm}\), \(3.29 \text{cm}\), \(3.31 \text{cm}\), \(3.28 \text{cm}\). The most accurate length of the cylinder will be

1. \(3.28 \text{cm}\)
2. \(3.29 \text{cm}\)
3. \(3.32 \text{cm}\)
4. \(3.21 \text{cm}\)
View Answer

The most accurate value is the mean value of the observations. Mean length = \[\frac{3.29 + 3.28 + 3.29 + 3.31 + 3.28}{5} = \frac{16.45}{5} = 3.29 \text{cm}\].

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Question 24: 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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