Physical World & Units - Errors & Measurements

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Q1. What is the error in measurement if the true value is 100 and the measured value is 95? (2023)

Solution:

The error in measurement is the difference between the true value and the measured value, which is 100 - 95 = 5.

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Q2. What is the least count of a vernier caliper that can measure up to 0.01 cm? (2021)

Solution:

The least count of a vernier caliper is the smallest measurement it can accurately read, which is 0.01 cm in this case.

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Q3. In a measurement, if the precision is high, it means: (2019)

Solution:

High precision indicates that repeated measurements yield similar results.

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Q4. In a measurement, if the error is systematic, what does it indicate? (2020)

Solution:

Systematic errors indicate a consistent bias in measurements.

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Q5. What is the absolute error in a measurement of 50.0 cm if the true value is 48.0 cm? (2022)

Solution:

Absolute error = |Measured value - True value| = |50.0 cm - 48.0 cm| = 2.0 cm.

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Q6. Which of the following is an example of a scalar quantity? (2023)

Solution:

Mass is a scalar quantity as it has magnitude but no direction.

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Q7. What is the absolute error in a measurement? (2021)

Solution:

Absolute error is defined as the difference between the measured value and the true value.

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Q8. In the context of measurements, what does precision refer to? (2022)

Solution:

Precision refers to the consistency of repeated measurements, regardless of their accuracy.

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Q9. Which instrument is used to measure atmospheric pressure? (2020)

Solution:

A barometer is used to measure atmospheric pressure.

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Q10. What is the percentage error if the true value is 50 and the measured value is 48? (2022)

Solution:

Percentage error = |(True value - Measured value) / True value| * 100 = |(50 - 48) / 50| * 100 = 4%.