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Physics Chapter 1 : Topic 6
Measurement Uncertainty
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Why does every measurement contain some uncertainty?
Reasoning: Every instrument has limited resolution and measurements involve possible errors.
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A measurement can never be perfectly exact because:
Reasoning: Real measurements always involve limitations and unknown deviations from the true value.
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The smallest value that an instrument can measure is called:
Reasoning: Least count represents the resolution limit of an instrument.
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An instrument with a larger least count produces:
Reasoning: Larger least count means the instrument cannot detect small changes accurately.
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The uncertainty in a measurement mainly depends on:
Reasoning: Instrument resolution and measurement procedure determine uncertainty.
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A ruler with millimetre markings cannot accurately measure:
Reasoning: The ruler cannot resolve values smaller than its least count.
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The final digit recorded in a measurement is usually:
Reasoning: The last significant digit represents uncertainty in measurement.
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Which statement about measurement uncertainty is correct?
Reasoning: Uncertainty describes the possible variation around a measured value.
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A stopwatch reading depends on human reaction time because:
Reasoning: Human response introduces measurement uncertainty.
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Which is an example of instrumental uncertainty?
Reasoning: Instrument limitations cause instrumental uncertainty.
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A thermometer marked in $\mathbf{1}^{\mathbf{o}}\mathbf{C}$ divisions cannot reliably measure:
Reasoning: The thermometer cannot measure beyond its resolution.
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Repeated measurements of the same quantity give slightly different values because of:
Reasoning: Small unpredictable variations occur due to random effects.
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Which type of error is caused by fluctuations in environmental conditions?
Reasoning: Temperature changes, vibrations, and other variations cause random uncertainty.
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Increasing the number of measurements helps to:
Reasoning: Averaging repeated readings reduces random variations.
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Which error cannot be removed by repeating measurements?
Reasoning: Systematic errors require calibration or correction.
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A balance always reads $\mathbf{5\ g}$ more than the actual mass. This uncertainty is due to:
Reasoning: A constant offset indicates zero / systematic error.
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Precision of a measurement is related to:
Reasoning: Precision shows consistency of measurements.
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Accuracy is affected mainly by:
Reasoning: Accuracy measures closeness to accepted value.
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A student measures a length as $\mathbf{15.2\ cm}$. The uncertainty exists because:
Reasoning: Instruments have finite resolution.
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The purpose of expressing uncertainty with a measurement is to:
Reasoning: Uncertainty communicates reliability of data.
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Which instrument provides the least uncertainty for measuring a wire diameter?
Reasoning: Micrometer has a very small least count.
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A measurement written as $\mathbf{5.0 \pm 0.1\ cm}$ means:
Reasoning: The $\mathbf{\pm}$ value indicates measurement uncertainty.
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Which factor does NOT contribute to measurement uncertainty?
Reasoning: If true value were perfectly known, uncertainty would not exist.
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A more sensitive instrument usually has:
Reasoning: Smaller least count allows finer measurements.
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Why are significant figures important in measurements?
Reasoning: Significant figures show the reliable digits in a measurement.
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If a measurement is repeated many times and values vary slightly, the best reported value is usually:
Reasoning: Average reduces random effects and gives a better estimate.
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The true value of a physical quantity is often:
Reasoning: True values are usually approximated using accurate measurements.
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A measurement uncertainty of $\mathbf{\pm \ 0.01\ m}$ is smaller than $\mathbf{\pm \ 0.1\ m}$. Therefore:
Reasoning: Smaller uncertainty indicates greater precision.
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Which statement is false?
Reasoning: Some uncertainty always remains due to physical limitations.
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Measurement uncertainty is unavoidable because:
Reasoning: Real instruments and measurement processes have limitations.
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The uncertainty in a measurement increases when:
Reasoning: A larger least count reduces measurement ability.
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Which situation represents unavoidable uncertainty?
Reasoning: Finite instrument resolution always introduces uncertainty.
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A scientist reports a result with uncertainty because:
Reasoning: Every real measurement has limitations.
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The reliability of an experiment increases when:
Reasoning: Understanding uncertainty improves confidence in results.
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Which statement best summarizes measurement uncertainty?
Reasoning: Uncertainty is a natural part of all experimental measurements.
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