What is the unit for power?
[ML²T⁻³] J s⁻¹ or watt.
How is the maximum absolute error calculated for the operation x = a + b?
By adding the absolute errors of a and b.
1/66
p.4
Fundamental and Derived Units

What is the unit for power?

[ML²T⁻³] J s⁻¹ or watt.

p.7
Propagation of Errors

How is the maximum absolute error calculated for the operation x = a + b?

By adding the absolute errors of a and b.

p.6
Error Analysis in Measurements

What is percentage error?

The relative error expressed in percentage.

p.3
Fundamental and Derived Units

How many cubic meters are in 1 liter?

1 liter = 10^-3 m³.

p.7
Propagation of Errors

What is the formula for maximum absolute error in addition or subtraction?

Δx = ±(Δa + Δb)

p.7
Propagation of Errors

What are the measured values of quantities a and b in the context of error analysis?

(a ± Δa) and (b ± Δb)

p.5
Significant Figures

In the number 0.00325, how many significant figures are there?

3 significant figures.

p.1
Fundamental and Derived Units

List the fundamental quantities and their units.

Length (metre), Mass (kilogram), Time (second), Temperature (kelvin), Electric current (ampere), Luminous intensity (candela), Amount of substance (mole).

p.2
Definitions of SI Units

What does 1 kelvin represent?

It is (1/273.16) part of the thermodynamic temperature of the triple point of water.

p.2
Systems of Units

What is a system of units?

A complete set of units, both fundamental and derived, for all kinds of physical quantities.

p.6
Error Analysis in Measurements

What is mean absolute error?

The arithmetic mean of the magnitude of absolute errors in all measurements.

p.4
Fundamental and Derived Units

What does the symbol [LT⁻¹] represent?

Velocity, measured in ms⁻¹.

p.1
Fundamental and Derived Units

What are fundamental units?

Units of physical quantities that are independent of each other.

p.5
Significant Figures

In multiplication or division, what should the final result retain?

The least number of significant figures from the values involved.

p.3
Fundamental and Derived Units

How much energy is in 1 erg?

1 erg = 10^-7 J.

p.2
Systems of Units

What is the SI system composed of?

Seven fundamental units and two supplementary fundamental units.

p.5
Significant Figures

What are significant figures?

Digits in a number that contribute to its precision.

p.4
Fundamental and Derived Units

What is the unit for volume?

[L³] metre³.

p.2
Fundamental and Derived Units

What are derived quantities?

Physical quantities derived from fundamental quantities, such as velocity, acceleration, and force.

p.5
Significant Figures

What should the final result retain in addition or subtraction?

The least decimal place from the values being added or subtracted.

p.3
Fundamental and Derived Units

What is the value of 1 pascal in terms of newtons?

1 pascal = 1 N/m².

p.3
Dimensional Analysis

What is the dimensional formula of a physical quantity?

It shows how and which of the base quantities represent the dimensions of a physical quantity.

p.7
Propagation of Errors

What is the formula for maximum relative error in multiplication or division?

Not provided in the text, but it typically involves the relative errors of a and b.

p.3
Fundamental and Derived Units

What is the conversion of 1 pound to kilograms?

1 pound = 0.4537 kg.

p.2
Definitions of SI Units

What is the definition of 1 kilogram?

A cylindrical prototype mass made of platinum and iridium alloys, equivalent to 5.0188 x 10^25 atoms of carbon-12.

p.2
Definitions of SI Units

What is the definition of 1 second?

The time in which a cesium atom vibrates 9,192,631,770 times in an atomic clock.

p.5
Significant Figures

What is the rule for rounding if the digit to be dropped is 5 followed by zeros?

If the preceding digit is odd, it is raised by one; if even, it remains unchanged.

p.2
Relationship Between Units

How is 1 micrometre related to metres?

1 micrometre = 10^-6 m.

p.6
Error Analysis in Measurements

What is defined as an error in measurements?

The lack of accuracy due to instrument limits or other causes.

p.1
Measurement and Physical Quantities

What is measurement in physics?

The comparison of any physical quantity with its standard unit.

p.3
Fundamental and Derived Units

What is the value of 1 amu in kilograms?

1 amu = 1.66 x 10^-23 kg.

p.4
Fundamental and Derived Units

What is the unit for pressure or stress?

[ML⁻¹T⁻²] Nm⁻².

p.1
Fundamental and Derived Units

What is the symbol for the unit of plane angle?

Radian (rad).

p.2
Definitions of SI Units

What is 1 mole?

The amount of substance containing as many elementary entities as there are atoms in 0.012 kg of carbon-12.

p.4
Fundamental and Derived Units

What is the unit for area?

[L²] metre².

p.4
Fundamental and Derived Units

What is the unit for force?

[MLT⁻²] newton (N).

p.5
Significant Figures

How many significant figures does 1.4750 have?

5 significant figures.

p.3
Fundamental and Derived Units

What is the pressure equivalent of 1 kgfm²?

1 kgfm² = 9.81 N/m².

p.2
Definitions of SI Units

How is 1 ampere defined?

As the electric current that produces a force of 2 x 10^-7 N per metre length between two parallel conductors placed one metre apart in vacuum.

p.2
Relationship Between Units

How is 1 angstrom related to metres?

1 angstrom = 10^-10 m.

p.5
Significant Figures

Are zeros between non-zero digits significant?

Yes, they are significant figures.

p.5
Significant Figures

How many significant figures does 6250 have?

3 significant figures.

p.3
Fundamental and Derived Units

What is the conversion of 1 dyne to newtons?

1 dyne = 10^-5 N.

p.4
Dimensional Analysis

What is the significance of dimensions in physical equations?

They can be used to check the accuracy of equations, convert between systems of units, and relate different physical quantities.

p.3
Fundamental and Derived Units

What is the conversion of 1 kilowatt-hour to joules?

1 kWh = 3.6 x 10^6 J.

p.2
Relationship Between Units

How is 1 metric ton related to kilograms?

1 metric ton = 10^3 kg.

p.6
Error Analysis in Measurements

How is the true value (a_m) determined in an experiment?

It is the arithmetic mean of the measured values.

p.1
Measurement and Physical Quantities

What are physical quantities?

Quantities in terms of which laws of physics are described and whose measurement is necessary.

p.1
Fundamental and Derived Units

What defines a standard unit?

A definite amount of a physical quantity that is easily reproducible and internationally accepted.

p.3
Fundamental and Derived Units

How much force is equivalent to 1 kgf?

1 kgf = 9.81 N.

p.1
Fundamental and Derived Units

What is the symbol for the unit of solid angle?

Steradian (Sr).

p.2
Systems of Units

What are the units in the CGS system?

Centimetre for length, gram for mass, and second for time.

p.5
Significant Figures

How many significant figures are in the number 4362?

4 significant figures.

p.7
Propagation of Errors

What types of operations are discussed in relation to error propagation?

Addition, subtraction, multiplication, and division.

p.4
Significant Figures

What are significant figures?

The number of digits in a measured value that are known to be correct plus one doubtful digit.

p.1
Fundamental and Derived Units

What are supplementary fundamental units?

Units that measure plane angle (radian) and solid angle (steradian).

p.2
Definitions of SI Units

What is the definition of 1 candela?

It is (1/60) of the luminous intensity of an ideal source at the melting point of platinum (1760°C).

p.2
Systems of Units

What are the units in the MKS system?

Metre for length, kilogram for mass, and second for time.

p.6
Error Analysis in Measurements

What is absolute error?

The difference between the true value and the measured value of a quantity.

p.6
Error Analysis in Measurements

What is relative error?

The ratio of mean absolute error to the true value.

p.4
Homogeneity Principle

What is the homogeneity principle?

If the dimensions of the left-hand side of an equation are equal to the dimensions of the right-hand side, then the equation is dimensionally correct.

p.2
Definitions of SI Units

How is 1 metre defined?

As the distance that contains 1,650,763.73 wavelengths of orange-red light of Kr-86.

p.5
Significant Figures

What happens if the digit to be dropped is less than 5?

The preceding digit remains unchanged.

p.3
Fundamental and Derived Units

What is the value of 1 horsepower in watts?

1 horsepower = 746 W.

p.5
Significant Figures

How is rounding handled if the digit to be dropped is 5 followed by a non-zero digit?

The preceding digit is raised by one.

p.2
Systems of Units

What are the units in the FPS system?

Foot for length, pound for mass, and second for time.

Study Smarter, Not Harder
Study Smarter, Not Harder