Q. If a measurement has a relative error of 5%, what does this indicate? (2022)
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A.
The measurement is very accurate
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B.
The measurement is very precise
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C.
The measurement is off by 5% of the true value
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D.
The measurement is exact
Solution
A relative error of 5% indicates that the measurement is off by 5% of the true value.
Correct Answer: C — The measurement is off by 5% of the true value
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Q. If a measurement is accurate but not precise, what does it imply? (2019)
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A.
All measurements are close to each other
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B.
Measurements are close to the true value
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C.
Measurements vary widely
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D.
None of the above
Solution
Accuracy refers to how close a measurement is to the true value.
Correct Answer: B — Measurements are close to the true value
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Q. If a measurement is accurate, it means: (2019)
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A.
It is close to the true value
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B.
It is consistent
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C.
It has a small error
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D.
It is precise
Solution
Accuracy refers to how close a measured value is to the true value.
Correct Answer: A — It is close to the true value
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Q. If a measurement is said to have a precision of 0.01 cm, what does this imply? (2019)
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A.
The measurement is accurate to 0.01 cm
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B.
The measurement can vary by 0.01 cm
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C.
The measurement is exact
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D.
The measurement is rounded to 0.01 cm
Solution
A precision of 0.01 cm implies that the measurement can vary by this amount, indicating the level of uncertainty.
Correct Answer: B — The measurement can vary by 0.01 cm
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Q. If a ruler has a least count of 0.1 cm, what is the maximum error in measurement? (2023)
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A.
0.05 cm
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B.
0.1 cm
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C.
0.2 cm
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D.
0.01 cm
Solution
The maximum error is typically taken as the least count of the measuring instrument, which is 0.1 cm.
Correct Answer: B — 0.1 cm
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Q. If a ruler has a least count of 0.1 cm, what is the smallest measurement it can accurately provide? (2023)
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A.
0.1 cm
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B.
0.05 cm
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C.
0.01 cm
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D.
1 cm
Solution
The least count of a measuring instrument is the smallest value that can be measured accurately, which in this case is 0.1 cm.
Correct Answer: A — 0.1 cm
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Q. In a measurement, if the error is systematic, what can be said about the results? (2020)
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A.
They are random
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B.
They are biased
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C.
They are accurate
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D.
They are precise
Solution
Systematic errors lead to biased results, consistently deviating from the true value.
Correct Answer: B — They are biased
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Q. In a measurement, if the error is systematic, what does it indicate? (2020)
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A.
Random fluctuations
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B.
Consistent bias
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C.
Human error
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D.
Instrument malfunction
Solution
Systematic errors indicate a consistent bias in measurements.
Correct Answer: B — Consistent bias
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Q. In a measurement, if the systematic error is known, how can it be corrected? (2020)
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A.
By averaging multiple readings
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B.
By subtracting the error from the measured value
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C.
By ignoring the error
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D.
By taking more measurements
Solution
Systematic errors can be corrected by subtracting the known error from the measured value.
Correct Answer: B — By subtracting the error from the measured value
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Q. In a measurement, if the uncertainty is ±0.1 g, what does it indicate? (2023)
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A.
The measurement is exact
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B.
The measurement can vary by 0.1 g
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C.
The measurement is inaccurate
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D.
The measurement is precise
Solution
An uncertainty of ±0.1 g indicates that the measurement can vary by 0.1 g from the reported value.
Correct Answer: B — The measurement can vary by 0.1 g
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Q. In a measurement, if the uncertainty is ±0.5 cm, what is the range of the measurement 10.0 cm? (2023)
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A.
9.5 cm to 10.5 cm
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B.
9.0 cm to 11.0 cm
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C.
10.0 cm to 10.5 cm
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D.
10.0 cm to 11.0 cm
Solution
The range is calculated as (10.0 - 0.5) cm to (10.0 + 0.5) cm, which is 9.5 cm to 10.5 cm.
Correct Answer: A — 9.5 cm to 10.5 cm
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Q. In a measurement, if the value is reported as 3.00 kg, how many significant figures are there? (2019)
Solution
The number 3.00 kg has three significant figures.
Correct Answer: B — 3
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Q. In measurements, what does precision refer to? (2022)
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A.
Closeness to the true value
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B.
Consistency of repeated measurements
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C.
Range of values
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D.
Average of measurements
Solution
Precision refers to the consistency of repeated measurements, regardless of their accuracy.
Correct Answer: B — Consistency of repeated measurements
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Q. In measurements, what does the term 'precision' refer to? (2022)
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A.
Closeness to the true value
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B.
Consistency of repeated measurements
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C.
Range of values
-
D.
Average of measurements
Solution
Precision refers to the consistency of repeated measurements, regardless of their accuracy.
Correct Answer: B — Consistency of repeated measurements
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Q. In the context of measurements, what does precision refer to? (2022)
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A.
Closeness to the true value
-
B.
Consistency of repeated measurements
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C.
Range of values
-
D.
Average of measurements
Solution
Precision refers to the consistency of repeated measurements, regardless of their accuracy.
Correct Answer: B — Consistency of repeated measurements
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Q. The uncertainty in a measurement is defined as: (2022)
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A.
The difference between the maximum and minimum values
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B.
The average of the measurements
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C.
The standard deviation
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D.
The range of values
Solution
Uncertainty is often defined as the range of values within which the true value lies.
Correct Answer: A — The difference between the maximum and minimum values
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Q. What is the absolute error if the true value is 50 and the measured value is 48? (2022)
Solution
Absolute error is calculated as the absolute difference between the true value and the measured value, which is |50 - 48| = 2.
Correct Answer: A — 2
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Q. What is the absolute error in a measurement of 50.0 cm if the true value is 48.0 cm? (2022)
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A.
2.0 cm
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B.
1.0 cm
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C.
3.0 cm
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D.
4.0 cm
Solution
Absolute error = |Measured value - True value| = |50.0 cm - 48.0 cm| = 2.0 cm.
Correct Answer: A — 2.0 cm
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Q. What is the absolute error in a measurement of 50.0 cm if the true value is 52.0 cm? (2022)
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A.
2.0 cm
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B.
1.0 cm
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C.
0.5 cm
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D.
3.0 cm
Solution
Absolute error = |Measured value - True value| = |50.0 cm - 52.0 cm| = 2.0 cm.
Correct Answer: A — 2.0 cm
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Q. What is the absolute error in a measurement? (2021)
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A.
The difference between the measured value and the true value
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B.
The average of all measurements
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C.
The maximum value in a set of measurements
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D.
The minimum value in a set of measurements
Solution
Absolute error is defined as the difference between the measured value and the true value.
Correct Answer: A — The difference between the measured value and the true value
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Q. What is the error called that occurs due to the limitations of the measuring instrument? (2023)
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A.
Random error
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B.
Systematic error
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C.
Instrumental error
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D.
Human error
Solution
Instrumental error occurs due to the limitations of the measuring instrument.
Correct Answer: C — Instrumental error
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Q. What is the error in a measurement of 20.0 cm if the true value is 19.5 cm? (2023)
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A.
0.5 cm
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B.
0.5%
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C.
2.5 cm
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D.
2.5%
Solution
The error is the absolute difference between the measured value and the true value, which is |20.0 - 19.5| = 0.5 cm.
Correct Answer: A — 0.5 cm
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Q. 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.
Correct Answer: A — 5
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Q. What is the least count of a standard vernier caliper? (2021)
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A.
0.01 cm
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B.
0.1 cm
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C.
1 cm
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D.
0.001 cm
Solution
The least count of a standard vernier caliper is typically 0.01 cm.
Correct Answer: A — 0.01 cm
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Q. What is the least count of a vernier caliper that can measure up to 0.01 cm? (2021)
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A.
0.1 cm
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B.
0.01 cm
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C.
0.001 cm
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D.
1 cm
Solution
The least count of a vernier caliper is the smallest measurement it can accurately read, which is 0.01 cm in this case.
Correct Answer: B — 0.01 cm
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Q. What is the main purpose of using significant figures in measurements? (2019)
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A.
To increase the number of digits
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B.
To indicate precision
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C.
To simplify calculations
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D.
To convert units
Solution
Significant figures indicate the precision of a measurement, reflecting the certainty of the digits.
Correct Answer: B — To indicate precision
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Q. What is the percentage error if the measured value is 10.0 and the true value is 9.5? (2021)
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A.
5.26%
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B.
4.76%
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C.
2.5%
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D.
10%
Solution
Percentage error = (|Measured - True| / True) × 100 = (|10.0 - 9.5| / 9.5) × 100 = 5.26%.
Correct Answer: B — 4.76%
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Q. What is the percentage error if the measured value is 20 and the true value is 25? (2021)
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A.
20%
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B.
25%
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C.
5%
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D.
10%
Solution
Percentage error is calculated as (|True Value - Measured Value| / True Value) * 100 = (|25 - 20| / 25) * 100 = 20%.
Correct Answer: D — 10%
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Q. What is the percentage error if the measured value is 20.0 and the true value is 19.5? (2021)
-
A.
2.56%
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B.
1.25%
-
C.
3.33%
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D.
5.00%
Solution
Percentage error = (|Measured - True| / True) × 100 = (|20.0 - 19.5| / 19.5) × 100 ≈ 2.56%.
Correct Answer: A — 2.56%
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Q. 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%.
Correct Answer: A — 4%
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