Q. If a measurement has a relative error of 5%, what does this indicate? (2022)
A.
The measurement is very accurate
B.
The measurement is very precise
C.
The measurement is off by 5% of the true value
D.
The measurement is exact
Show solution
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)
A.
All measurements are close to each other
B.
Measurements are close to the true value
C.
Measurements vary widely
D.
None of the above
Show solution
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)
A.
It is close to the true value
B.
It is consistent
C.
It has a small error
D.
It is precise
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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)
A.
The measurement is accurate to 0.01 cm
B.
The measurement can vary by 0.01 cm
C.
The measurement is exact
D.
The measurement is rounded to 0.01 cm
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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)
A.
0.05 cm
B.
0.1 cm
C.
0.2 cm
D.
0.01 cm
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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)
A.
0.1 cm
B.
0.05 cm
C.
0.01 cm
D.
1 cm
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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)
A.
They are random
B.
They are biased
C.
They are accurate
D.
They are precise
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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)
A.
Random fluctuations
B.
Consistent bias
C.
Human error
D.
Instrument malfunction
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Solution
Systematic errors indicate a consistent bias in measurements.
Correct Answer:
B
— Consistent bias
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Q. In a measurement, if the precision is high, it means: (2019)
A.
The measurements are close to the true value
B.
The measurements are consistent with each other
C.
The measurements have low uncertainty
D.
The measurements are accurate
Show solution
Solution
High precision indicates that repeated measurements yield similar results.
Correct Answer:
B
— The measurements are consistent with each other
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Q. In a measurement, if the systematic error is known, how can it be corrected? (2020)
A.
By averaging multiple readings
B.
By subtracting the error from the measured value
C.
By ignoring the error
D.
By taking more measurements
Show solution
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)
A.
The measurement is exact
B.
The measurement can vary by 0.1 g
C.
The measurement is inaccurate
D.
The measurement is precise
Show solution
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)
A.
9.5 cm to 10.5 cm
B.
9.0 cm to 11.0 cm
C.
10.0 cm to 10.5 cm
D.
10.0 cm to 11.0 cm
Show solution
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)
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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)
A.
Closeness to the true value
B.
Consistency of repeated measurements
C.
Range of values
D.
Average of measurements
Show solution
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)
A.
Closeness to the true value
B.
Consistency of repeated measurements
C.
Range of values
D.
Average of measurements
Show solution
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)
A.
Closeness to the true value
B.
Consistency of repeated measurements
C.
Range of values
D.
Average of measurements
Show solution
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)
A.
The difference between the maximum and minimum values
B.
The average of the measurements
C.
The standard deviation
D.
The range of values
Show solution
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)
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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)
A.
2.0 cm
B.
1.0 cm
C.
3.0 cm
D.
4.0 cm
Show solution
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)
A.
2.0 cm
B.
1.0 cm
C.
0.5 cm
D.
3.0 cm
Show solution
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)
A.
The difference between the measured value and the true value
B.
The average of all measurements
C.
The maximum value in a set of measurements
D.
The minimum value in a set of measurements
Show solution
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)
A.
Random error
B.
Systematic error
C.
Instrumental error
D.
Human error
Show solution
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)
A.
0.5 cm
B.
0.5%
C.
2.5 cm
D.
2.5%
Show solution
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)
Show solution
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 formula for calculating the absolute error? (2023)
A.
Measured value - True value
B.
True value - Measured value
C.
Measured value + True value
D.
Measured value / True value
Show solution
Solution
Absolute error is calculated as the difference between the measured value and the true value.
Correct Answer:
A
— Measured value - True value
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Q. What is the least count of a standard vernier caliper? (2021)
A.
0.01 cm
B.
0.1 cm
C.
1 cm
D.
0.001 cm
Show solution
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)
A.
0.1 cm
B.
0.01 cm
C.
0.001 cm
D.
1 cm
Show solution
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)
A.
To increase the number of digits
B.
To indicate precision
C.
To simplify calculations
D.
To convert units
Show solution
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)
A.
5.26%
B.
4.76%
C.
2.5%
D.
10%
Show solution
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)
A.
20%
B.
25%
C.
5%
D.
10%
Show solution
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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Showing 1 to 30 of 47 (2 Pages)
Physical World & Units - Errors & Measurements MCQ & Objective Questions
The topic of "Physical World & Units - Errors & Measurements" is crucial for students preparing for various exams in India. Understanding this area not only helps in grasping fundamental concepts but also enhances problem-solving skills. Practicing MCQs and objective questions on this topic is essential for scoring better in exams, as it familiarizes students with important questions and exam patterns.
What You Will Practise Here
Fundamental concepts of physical quantities and their units
Types of errors in measurements: systematic and random errors
Significant figures and their importance in calculations
Measurement techniques and tools used in experiments
Formulas related to error calculation and propagation
Understanding the concept of accuracy and precision
Real-life applications of measurements and their significance
Exam Relevance
The topic of "Physical World & Units - Errors & Measurements" is frequently tested in CBSE, State Boards, NEET, and JEE exams. Students can expect questions that assess their understanding of measurement concepts, error analysis, and practical applications. Common question patterns include numerical problems, theoretical questions, and application-based scenarios that require a solid grasp of the subject matter.
Common Mistakes Students Make
Confusing between systematic and random errors
Incorrectly applying significant figures in calculations
Overlooking units while solving problems
Misunderstanding the concept of accuracy versus precision
Failing to recognize the importance of measurement tools and techniques
FAQs
Question: What are significant figures and why are they important?Answer: Significant figures are the digits in a number that contribute to its precision. They are important because they indicate the accuracy of measurements and calculations.
Question: How do I calculate the percentage error in a measurement?Answer: Percentage error can be calculated using the formula: (|Experimental Value - Theoretical Value| / Theoretical Value) × 100.
To excel in your exams, it is vital to solve practice MCQs on "Physical World & Units - Errors & Measurements." This will not only test your understanding but also boost your confidence. Start practicing today and enhance your exam preparation!
