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The following observation was taken for determine surface tension of water by capillary method diameter of capillary, d!=1.25x10^-2m rise of water h =1.45x10^-2m. using g=9.80m/s^2 and the simplified relation t!=rhg/2x10^3 n/m the possible error in surface tension is closest to:?
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The following observation was taken for determine surface tension of w...
Introduction
To determine the possible error in the surface tension of water using the capillary method, we will analyze the formula and the variables involved. The formula used is t = rhg / (2 x 10^3) N/m, where:
- r = radius of the capillary
- h = height of the liquid rise
- g = acceleration due to gravity
Given Data
- Diameter of capillary, d = 1.25 x 10^-2 m
- Rise of water, h = 1.45 x 10^-2 m
- g = 9.80 m/s²
Calculating Radius
- The radius (r) can be calculated as r = d / 2 = 0.625 x 10^-2 m.
Calculating Surface Tension
- Substitute the values into the formula:
- t = (r * h * g) / (2 x 10^3)
Possible Errors in Measurement
1. Diameter Measurement Error:
- Typically, the diameter could have an error of ±0.01 mm, which could affect the radius calculation.
2. Height of Liquid Rise Error:
- The measurement of h may also have an error, generally around ±0.01 cm.
3. Acceleration Due to Gravity:
- This value is generally precise but can vary slightly based on location.
Calculating Total Error
- The total error in surface tension can be estimated by propagating the individual errors:
- Error in t can be calculated by taking the percentage errors of r, h, and g, considering their contributions to the final result.
Conclusion
In summary, the possible error in the surface tension of water can be closely approximated by evaluating the individual measurement uncertainties and their influence on the final calculation. The overall possible error is usually estimated within a few percent, depending on the precision of the instruments used.
To determine the possible error in the surface tension of water using the capillary method, we will analyze the formula and the variables involved. The formula used is t = rhg / (2 x 10^3) N/m, where:
- r = radius of the capillary
- h = height of the liquid rise
- g = acceleration due to gravity
Given Data
- Diameter of capillary, d = 1.25 x 10^-2 m
- Rise of water, h = 1.45 x 10^-2 m
- g = 9.80 m/s²
Calculating Radius
- The radius (r) can be calculated as r = d / 2 = 0.625 x 10^-2 m.
Calculating Surface Tension
- Substitute the values into the formula:
- t = (r * h * g) / (2 x 10^3)
Possible Errors in Measurement
1. Diameter Measurement Error:
- Typically, the diameter could have an error of ±0.01 mm, which could affect the radius calculation.
2. Height of Liquid Rise Error:
- The measurement of h may also have an error, generally around ±0.01 cm.
3. Acceleration Due to Gravity:
- This value is generally precise but can vary slightly based on location.
Calculating Total Error
- The total error in surface tension can be estimated by propagating the individual errors:
- Error in t can be calculated by taking the percentage errors of r, h, and g, considering their contributions to the final result.
Conclusion
In summary, the possible error in the surface tension of water can be closely approximated by evaluating the individual measurement uncertainties and their influence on the final calculation. The overall possible error is usually estimated within a few percent, depending on the precision of the instruments used.
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The following observation was taken for determine surface tension of water by capillary method diameter of capillary, d!=1.25x10^-2m rise of water h =1.45x10^-2m. using g=9.80m/s^2 and the simplified relation t!=rhg/2x10^3 n/m the possible error in surface tension is closest to:?
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The following observation was taken for determine surface tension of water by capillary method diameter of capillary, d!=1.25x10^-2m rise of water h =1.45x10^-2m. using g=9.80m/s^2 and the simplified relation t!=rhg/2x10^3 n/m the possible error in surface tension is closest to:? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The following observation was taken for determine surface tension of water by capillary method diameter of capillary, d!=1.25x10^-2m rise of water h =1.45x10^-2m. using g=9.80m/s^2 and the simplified relation t!=rhg/2x10^3 n/m the possible error in surface tension is closest to:? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following observation was taken for determine surface tension of water by capillary method diameter of capillary, d!=1.25x10^-2m rise of water h =1.45x10^-2m. using g=9.80m/s^2 and the simplified relation t!=rhg/2x10^3 n/m the possible error in surface tension is closest to:?.
The following observation was taken for determine surface tension of water by capillary method diameter of capillary, d!=1.25x10^-2m rise of water h =1.45x10^-2m. using g=9.80m/s^2 and the simplified relation t!=rhg/2x10^3 n/m the possible error in surface tension is closest to:? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The following observation was taken for determine surface tension of water by capillary method diameter of capillary, d!=1.25x10^-2m rise of water h =1.45x10^-2m. using g=9.80m/s^2 and the simplified relation t!=rhg/2x10^3 n/m the possible error in surface tension is closest to:? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following observation was taken for determine surface tension of water by capillary method diameter of capillary, d!=1.25x10^-2m rise of water h =1.45x10^-2m. using g=9.80m/s^2 and the simplified relation t!=rhg/2x10^3 n/m the possible error in surface tension is closest to:?.
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The following observation was taken for determine surface tension of water by capillary method diameter of capillary, d!=1.25x10^-2m rise of water h =1.45x10^-2m. using g=9.80m/s^2 and the simplified relation t!=rhg/2x10^3 n/m the possible error in surface tension is closest to:?, a detailed solution for The following observation was taken for determine surface tension of water by capillary method diameter of capillary, d!=1.25x10^-2m rise of water h =1.45x10^-2m. using g=9.80m/s^2 and the simplified relation t!=rhg/2x10^3 n/m the possible error in surface tension is closest to:? has been provided alongside types of The following observation was taken for determine surface tension of water by capillary method diameter of capillary, d!=1.25x10^-2m rise of water h =1.45x10^-2m. using g=9.80m/s^2 and the simplified relation t!=rhg/2x10^3 n/m the possible error in surface tension is closest to:? theory, EduRev gives you an
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