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Which of the following statements is incorrect?
- a)Every measurement by measuring instrument has some error.
- b)A measurement can have more accuracy but less precision and vice versa.
- c)Every calculated quantity that is based on measured values has some error.
- d)The magnitude of the difference between the true value of the quantity and the individual measurement value is called the relative error of the measurement.
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Which of the following statements is incorrect?a)Everymeasurement by m...
The magnitude of the difference between the true value of the quantity and the individual measurement value is called the absolute error of the measurement. Hence, option (d) is an incorrect statement while all other statements are correct.
Most Upvoted Answer
Which of the following statements is incorrect?a)Everymeasurement by m...
Incorrect Statement:
The incorrect statement is option 'D': The magnitude of the difference between the true value of the quantity and the individual measurement value is called the relative error of the measurement.
Explanation:
To understand why option 'D' is incorrect, let's first define the terms mentioned in the statement.
True value: The true value of a quantity is the exact value that would be obtained if there were no errors in the measurement process.
Individual measurement value: This refers to the value obtained from a single measurement using a measuring instrument.
Relative error: The relative error of a measurement is the ratio of the difference between the measured value and the true value to the true value.
Now let's analyze the statement and why it is incorrect:
- The magnitude of the difference between the true value of the quantity and the individual measurement value is not called the relative error of the measurement. Instead, it is referred to as the absolute error.
Important Points:
- Every measurement by a measuring instrument has some error: No measuring instrument is perfect, and there will always be some degree of uncertainty or error associated with any measurement taken.
- A measurement can have more accuracy but less precision and vice versa: Accuracy refers to how close a measured value is to the true value, while precision refers to the consistency and reproducibility of a set of measurements. It is possible to have a measurement that is accurate but not precise, or precise but not accurate.
- Every calculated quantity that is based on measured values has some error: When calculations involve measured values, the errors associated with those measurements propagate through the calculations and affect the final result. Therefore, any calculated quantity based on measured values will also have some degree of error.
In conclusion, option 'D' is the incorrect statement. The correct term for the magnitude of the difference between the true value and the individual measurement value is the absolute error, not the relative error.
The incorrect statement is option 'D': The magnitude of the difference between the true value of the quantity and the individual measurement value is called the relative error of the measurement.
Explanation:
To understand why option 'D' is incorrect, let's first define the terms mentioned in the statement.
True value: The true value of a quantity is the exact value that would be obtained if there were no errors in the measurement process.
Individual measurement value: This refers to the value obtained from a single measurement using a measuring instrument.
Relative error: The relative error of a measurement is the ratio of the difference between the measured value and the true value to the true value.
Now let's analyze the statement and why it is incorrect:
- The magnitude of the difference between the true value of the quantity and the individual measurement value is not called the relative error of the measurement. Instead, it is referred to as the absolute error.
Important Points:
- Every measurement by a measuring instrument has some error: No measuring instrument is perfect, and there will always be some degree of uncertainty or error associated with any measurement taken.
- A measurement can have more accuracy but less precision and vice versa: Accuracy refers to how close a measured value is to the true value, while precision refers to the consistency and reproducibility of a set of measurements. It is possible to have a measurement that is accurate but not precise, or precise but not accurate.
- Every calculated quantity that is based on measured values has some error: When calculations involve measured values, the errors associated with those measurements propagate through the calculations and affect the final result. Therefore, any calculated quantity based on measured values will also have some degree of error.
In conclusion, option 'D' is the incorrect statement. The correct term for the magnitude of the difference between the true value and the individual measurement value is the absolute error, not the relative error.
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Which of the following statements is incorrect?a)Everymeasurement by measuring instrument has some error.b)A measurement can have more accuracy but less precision and vice versa.c)Every calculated quantity that is based on measured values has some error.d)The magnitude of the difference between the true value of the quantity and the individual measurement value is called the relative error of the measurement.Correct answer is option 'D'. Can you explain this answer?
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Which of the following statements is incorrect?a)Everymeasurement by measuring instrument has some error.b)A measurement can have more accuracy but less precision and vice versa.c)Every calculated quantity that is based on measured values has some error.d)The magnitude of the difference between the true value of the quantity and the individual measurement value is called the relative error of the measurement.Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Which of the following statements is incorrect?a)Everymeasurement by measuring instrument has some error.b)A measurement can have more accuracy but less precision and vice versa.c)Every calculated quantity that is based on measured values has some error.d)The magnitude of the difference between the true value of the quantity and the individual measurement value is called the relative error of the measurement.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is incorrect?a)Everymeasurement by measuring instrument has some error.b)A measurement can have more accuracy but less precision and vice versa.c)Every calculated quantity that is based on measured values has some error.d)The magnitude of the difference between the true value of the quantity and the individual measurement value is called the relative error of the measurement.Correct answer is option 'D'. Can you explain this answer?.
Which of the following statements is incorrect?a)Everymeasurement by measuring instrument has some error.b)A measurement can have more accuracy but less precision and vice versa.c)Every calculated quantity that is based on measured values has some error.d)The magnitude of the difference between the true value of the quantity and the individual measurement value is called the relative error of the measurement.Correct answer is option 'D'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about Which of the following statements is incorrect?a)Everymeasurement by measuring instrument has some error.b)A measurement can have more accuracy but less precision and vice versa.c)Every calculated quantity that is based on measured values has some error.d)The magnitude of the difference between the true value of the quantity and the individual measurement value is called the relative error of the measurement.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is incorrect?a)Everymeasurement by measuring instrument has some error.b)A measurement can have more accuracy but less precision and vice versa.c)Every calculated quantity that is based on measured values has some error.d)The magnitude of the difference between the true value of the quantity and the individual measurement value is called the relative error of the measurement.Correct answer is option 'D'. Can you explain this answer?.
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