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In error analysis of resistance based questions the measurement of error is taken by formula 1delta R/ R^2 = deltaR1/R1^2 deltaR2/R2^2 while calculating focal length deltaf/f =deltau/u deltav/v deltau +deltav/u+v since both formula is almost of same type both have reciprocal of resistance and focal length then Why
formulas are different for calculating error for these two quantities ?
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In error analysis of resistance based questions the measurement of err...




Reasons for Different Formulas in Error Analysis

1. Nature of the Quantities
- Resistance (R) and focal length (f) are fundamentally different quantities with different physical properties.
- Resistance is a measure of opposition to the flow of electric current, while focal length is a measure of the distance between the focal point and the lens or mirror.

2. Measurement Techniques
- The error in resistance measurement is typically calculated by considering the fractional change in resistance, which involves the reciprocal of resistance squared.
- On the other hand, the error in focal length measurement is calculated based on the individual errors in image distance (u) and object distance (v) measurements, without involving the reciprocal of the focal length squared.

3. Mathematical Relationships
- The formulas for calculating error in resistance and focal length are derived based on the mathematical relationships between the quantities involved in each measurement.
- The specific characteristics and relationships of resistance and focal length necessitate different error analysis formulas to accurately account for uncertainties in the measurements.

4. Experimental Setup
- The experimental setup for measuring resistance and focal length may also vary, leading to different error propagation considerations and formulas for each measurement.

Conclusion
- The differences in the formulas for calculating error in resistance and focal length measurements are a result of the unique nature of the quantities being measured, the specific measurement techniques employed, and the mathematical relationships governing these measurements.
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In error analysis of resistance based questions the measurement of error is taken by formula 1delta R/ R^2 = deltaR1/R1^2 deltaR2/R2^2 while calculating focal length deltaf/f =deltau/u deltav/v deltau +deltav/u+v since both formula is almost of same type both have reciprocal of resistance and focal length then Why formulas are different for calculating error for these two quantities ?
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In error analysis of resistance based questions the measurement of error is taken by formula 1delta R/ R^2 = deltaR1/R1^2 deltaR2/R2^2 while calculating focal length deltaf/f =deltau/u deltav/v deltau +deltav/u+v since both formula is almost of same type both have reciprocal of resistance and focal length then Why formulas are different for calculating error for these two quantities ? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about In error analysis of resistance based questions the measurement of error is taken by formula 1delta R/ R^2 = deltaR1/R1^2 deltaR2/R2^2 while calculating focal length deltaf/f =deltau/u deltav/v deltau +deltav/u+v since both formula is almost of same type both have reciprocal of resistance and focal length then Why formulas are different for calculating error for these two quantities ? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In error analysis of resistance based questions the measurement of error is taken by formula 1delta R/ R^2 = deltaR1/R1^2 deltaR2/R2^2 while calculating focal length deltaf/f =deltau/u deltav/v deltau +deltav/u+v since both formula is almost of same type both have reciprocal of resistance and focal length then Why formulas are different for calculating error for these two quantities ?.
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