Podcast
Questions and Answers
Which of the following is a derived quantity?
Which of the following is a derived quantity?
What does the principle of homogeneity state?
What does the principle of homogeneity state?
What is the unit of force in the FPS system?
What is the unit of force in the FPS system?
Pound
What is the formula for the maximum fractional error in the product of two quantities?
What is the formula for the maximum fractional error in the product of two quantities?
Signup and view all the answers
Dimensional analysis can predict the numerical value of a physical quantity.
Dimensional analysis can predict the numerical value of a physical quantity.
Signup and view all the answers
What is the least count of a Vernier caliper?
What is the least count of a Vernier caliper?
Signup and view all the answers
What is the formula for calculating the total reading of a screw gauge?
What is the formula for calculating the total reading of a screw gauge?
Signup and view all the answers
What is the purpose of rounding off numbers?
What is the purpose of rounding off numbers?
Signup and view all the answers
Which of the following is NOT a significant figure rule?
Which of the following is NOT a significant figure rule?
Signup and view all the answers
Match the following physical quantities with their dimensions:
Match the following physical quantities with their dimensions:
Signup and view all the answers
Flashcards
Fundamental Quantities
Fundamental Quantities
Physical quantities that are independent of other quantities for their measurement.
Derived Quantities
Derived Quantities
Quantities that can be expressed based on fundamental quantities.
Significant Figures
Significant Figures
The number of digits that contribute to the precision of a measurement, including all non-zero digits and significant zeros.
Addition and Subtraction with Significant Figures
Addition and Subtraction with Significant Figures
Signup and view all the flashcards
Multiplication and Division with Significant Figures
Multiplication and Division with Significant Figures
Signup and view all the flashcards
Principle of Homogeneity
Principle of Homogeneity
Signup and view all the flashcards
Dimensions of a Physical Quantity
Dimensions of a Physical Quantity
Signup and view all the flashcards
Dimensional Analysis
Dimensional Analysis
Signup and view all the flashcards
Vernier Calliper
Vernier Calliper
Signup and view all the flashcards
Least Count of a Vernier Calliper
Least Count of a Vernier Calliper
Signup and view all the flashcards
Screw Gauge
Screw Gauge
Signup and view all the flashcards
Pitch of a Screw Gauge
Pitch of a Screw Gauge
Signup and view all the flashcards
Least Count of a Screw Gauge
Least Count of a Screw Gauge
Signup and view all the flashcards
Error in Measurement
Error in Measurement
Signup and view all the flashcards
Mean Absolute Error
Mean Absolute Error
Signup and view all the flashcards
Relative Error or Fractional Error
Relative Error or Fractional Error
Signup and view all the flashcards
Percentage Error
Percentage Error
Signup and view all the flashcards
Combination of Errors
Combination of Errors
Signup and view all the flashcards
Representation of Errors
Representation of Errors
Signup and view all the flashcards
Mean Value of Measurement
Mean Value of Measurement
Signup and view all the flashcards
Rounding Off
Rounding Off
Signup and view all the flashcards
FPS System
FPS System
Signup and view all the flashcards
CGS System
CGS System
Signup and view all the flashcards
MKS System
MKS System
Signup and view all the flashcards
Checking Correctness of a Formula
Checking Correctness of a Formula
Signup and view all the flashcards
Establishing Relationships
Establishing Relationships
Signup and view all the flashcards
Converting Values
Converting Values
Signup and view all the flashcards
Limitations of Dimensional Analysis
Limitations of Dimensional Analysis
Signup and view all the flashcards
Not Predicting Numerical Values
Not Predicting Numerical Values
Signup and view all the flashcards
Not Working with Certain Functions
Not Working with Certain Functions
Signup and view all the flashcards
Not Providing Information About Constants
Not Providing Information About Constants
Signup and view all the flashcards
Study Notes
Fundamental Quantities
- Physical quantities independent of others for measurement
- Examples: mass, length, time, temperature, electric current, luminous intensity, and amount of substance
Derived Quantities
- Quantities expressed in terms of fundamental quantities
- Examples: angle, speed, velocity, acceleration, force
Systems of Units
- FPS (Foot-Pound-Second): Length in feet, mass in pounds, time in seconds
- CGS (Centimeter-Gram-Second): Length in centimeters, mass in grams, time in seconds
- MKS (Meter-Kilogram-Second): Length in meters, mass in kilograms, time in seconds
Principle of Homogeneity
- Physical quantities with same dimensions can be added/subtracted
- Dimensions of both sides of an equation must be equal
Dimensional Analysis
- Fundamental/base quantities and their powers to express a physical quantity
- Example: Force [F] = [MLT-2]
Usage of Dimensional Analysis
- Checking correctness of formulas
- Establishing relations between quantities
- Converting units between systems
Limitations of Dimensional Analysis
- Cannot predict numerical values
- Does not derive trigonometric, logarithmic, or exponential relationships
- Does not indicate if a quantity is vector or scalar
Significant Figures (Significant Digits)
- Rules for determining significant figures:
- All non-zero digits are significant
- Zeros between non-zero digits are significant
- Leading zeros are not significant
- Trailing zeros in a decimal are significant
- Trailing zeros in a whole number are not significant (unless known from measurement)
- Exponential form does not affect significant figures
Rules for Arithmetic Operations with Significant Figures
- Addition/subtraction: Result has same number of decimal places as the term with fewest decimal places
- Multiplication/division: Result has same number of significant figures as the factor with fewest significant figures
Rounding Off
- If digit to be rounded is 5 or greater, preceding digit increases by 1
- If digit to be rounded is less than 5, preceding digit remains unchanged
- If digit to be rounded is 5, preceding digit increases by 1 if odd, remains same if even
Representation of Errors
- Mean absolute error: Sum of absolute errors divided by the total number of measurements
- Final result of measurement can be written as: α = α1 ± Δα
Relative/Fractional Error
- Ratio of mean absolute error to mean value of measurement
Percentage Error
- Relative error multiplied by 100%
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Related Documents
Description
Explore the differences between fundamental and derived physical quantities in this quiz. Learn about various systems of units, the principle of homogeneity, and the importance of dimensional analysis. Test your understanding of these essential concepts in physics.