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If n is a number and u is a physical quantity then which of the following is correct for the measurement of n ?
1) n is directly proportional to size of u
2)n is directly proportional to u²
3) n is directly proportional to √u
4)n is inversely proportional to u?
1) n is directly proportional to size of u
2)n is directly proportional to u²
3) n is directly proportional to √u
4)n is inversely proportional to u?
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If n is a number and u is a physical quantity then which of the follow...
Direct and Inverse Proportionality in Measurement
Direct Proportionality:
- Direct proportionality means that as one quantity increases, the other quantity also increases in a linear manner.
- If n is directly proportional to the size of u, it means that as the physical quantity u increases, the number n also increases in a directly proportional manner.
- Mathematically, this relationship can be represented as n = ku, where k is a constant of proportionality.
Direct Proportionality Options:
1) n is directly proportional to size of u - This statement indicates a direct proportionality between n and u, where n increases with the size of u.
2) n is directly proportional to u² - This statement does not represent direct proportionality as n increasing with the square of u is not a linear relationship.
3) n is directly proportional to √u - This statement does not represent direct proportionality as n increasing with the square root of u is not a linear relationship.
Inverse Proportionality:
- Inverse proportionality means that as one quantity increases, the other quantity decreases in a linear manner.
- If n is inversely proportional to u, it means that as the physical quantity u increases, the number n decreases in an inverse proportional manner.
- Mathematically, this relationship can be represented as n = k/u, where k is a constant of proportionality.
Inverse Proportionality Option:
4) n is inversely proportional to u - This statement indicates an inverse proportionality between n and u, where n decreases as u increases.
Therefore, the correct statement for the measurement of n is:
- n is directly proportional to size of u
Direct Proportionality:
- Direct proportionality means that as one quantity increases, the other quantity also increases in a linear manner.
- If n is directly proportional to the size of u, it means that as the physical quantity u increases, the number n also increases in a directly proportional manner.
- Mathematically, this relationship can be represented as n = ku, where k is a constant of proportionality.
Direct Proportionality Options:
1) n is directly proportional to size of u - This statement indicates a direct proportionality between n and u, where n increases with the size of u.
2) n is directly proportional to u² - This statement does not represent direct proportionality as n increasing with the square of u is not a linear relationship.
3) n is directly proportional to √u - This statement does not represent direct proportionality as n increasing with the square root of u is not a linear relationship.
Inverse Proportionality:
- Inverse proportionality means that as one quantity increases, the other quantity decreases in a linear manner.
- If n is inversely proportional to u, it means that as the physical quantity u increases, the number n decreases in an inverse proportional manner.
- Mathematically, this relationship can be represented as n = k/u, where k is a constant of proportionality.
Inverse Proportionality Option:
4) n is inversely proportional to u - This statement indicates an inverse proportionality between n and u, where n decreases as u increases.
Therefore, the correct statement for the measurement of n is:
- n is directly proportional to size of u
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If n is a number and u is a physical quantity then which of the following is correct for the measurement of n ? 1) n is directly proportional to size of u 2)n is directly proportional to u² 3) n is directly proportional to √u4)n is inversely proportional to u?
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If n is a number and u is a physical quantity then which of the following is correct for the measurement of n ? 1) n is directly proportional to size of u 2)n is directly proportional to u² 3) n is directly proportional to √u4)n is inversely proportional to u? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If n is a number and u is a physical quantity then which of the following is correct for the measurement of n ? 1) n is directly proportional to size of u 2)n is directly proportional to u² 3) n is directly proportional to √u4)n is inversely proportional to u? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If n is a number and u is a physical quantity then which of the following is correct for the measurement of n ? 1) n is directly proportional to size of u 2)n is directly proportional to u² 3) n is directly proportional to √u4)n is inversely proportional to u?.
If n is a number and u is a physical quantity then which of the following is correct for the measurement of n ? 1) n is directly proportional to size of u 2)n is directly proportional to u² 3) n is directly proportional to √u4)n is inversely proportional to u? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If n is a number and u is a physical quantity then which of the following is correct for the measurement of n ? 1) n is directly proportional to size of u 2)n is directly proportional to u² 3) n is directly proportional to √u4)n is inversely proportional to u? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If n is a number and u is a physical quantity then which of the following is correct for the measurement of n ? 1) n is directly proportional to size of u 2)n is directly proportional to u² 3) n is directly proportional to √u4)n is inversely proportional to u?.
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