Class-11 Physics UNITS AND MEASUREMENT

#1. What is the purpose of a unit in measurement?

To compare different physical quantities

To define physical quantities

To serve as a reference standard for measurements

To determine the size of physical quantities

#2. What does a measurement of a physical quantity consist of?

A number and a formula

A number and a reference standard

A number and a unit

A numerical value and a comparison

#3. How are the units for fundamental quantities referred to?

Derived units

Base units

Reference units

Measurement units

#4. What are derived units?

Units used only for fundamental quantities

Units that are combinations of base units

Units that represent arbitrary quantities

Units that cannot be used in physical measurements

#5. What is a complete set of units, including both base and derived units, called?

Unit system

Measurement system

System of units

Base system

#6. What is the currently internationally accepted system of units for measurement?

CGS system

FPS system

MKS system

SI system

#7. When was the SI system revised by the General Conference on Weights and Measures?

2000

1985

2018

1995

#8. Which of the following base units is common to all the three systems: CGS, FPS, and MKS?

Centimetre

Pound

Second

Kilogram

#9. What is the unit for plane angle in the SI system?

Radian (rad)

Degree

Steradian (sr)

Arc

#10. Which of the following is a derived SI unit?

Radian

Metre

Kilogram

Ampere

#11. What is the unit for solid angle in the SI system?

Radian (rad)

Steradian (sr)

Meter

Pound

#12. In the SI system, what must be specified when using the unit “mole”?

The dimension of the object

The elementary entities

The mass of the substance

The temperature

#13. What is the significance of using the decimal system in SI units?

It allows complex conversions between units

It simplifies conversions within the system

It allows measurement of both large and small quantities only

It makes the units more complex

#14. Which of the following systems was NOT mentioned as an earlier system used for measurements?

CGS system

FPS system

MKS system

SI system

#15. What does the number of significant figures in a measurement indicate?

The exact value of the measurement

The precision of the measurement

The method of calculation used

The unit of the measurement

#16. Which of the following is a correct example of a number with three significant figures?

1.62

2875

0.0047

5000

#17. How is the number of significant figures affected by the change in units?

The number of significant figures can change with unit conversion

The number of significant figures remains the same, regardless of unit change

Significant figures are only considered when measuring length

Significant figures are determined by the decimal point

#18. Which of the following is NOT considered a significant figure?

Non-zero digits

Zeros between non-zero digits

Leading zeros before the first non-zero digit

Trailing zeros in a number with a decimal point

#19. How are trailing zeros treated in a number with a decimal point?

They are not significant

They are always significant

They are uncertain

They are only significant if in scientific notation

#20. How many significant figures are there in the number 4.700?

Two

Thre

Four

Five

#21. When is scientific notation the best way to report measurements?

To avoid confusion regarding trailing zeros

To simplify calculations

To represent values without using significant figures

To avoid changing units

#22. Which of the following statements is true about the digit “0” in scientific notation?

Zeros appearing in the exponent of 10 are significant

Zeros in the base number in scientific notation are significant

Zeros in scientific notation are always not significant

Zeros in scientific notation are ignored

#23. What is the rule for trailing zeros in a number greater than 1 and without a decimal point?

They are always significant

They are not significant

They are significant only in scientific notation

They are treated as unreliable

#24. Which of the following is true regarding multiplying or dividing factors in an equation?

They always have a finite number of significant digits

They can be written with infinite significant digits

They are always considered approximate

They only have significant figures if they are measured

#25. How should the number 0.0002308 be reported in scientific notation to avoid confusion about significant figures?

2.308 × 10⁻⁴

2.308 × 10⁻³

2.308 × 10⁻²

2.308 × 10⁻⁵

#26. When performing multiplication or division, the final result should have as many significant figures as the number with:

The fewest decimal places

The fewest significant figures

The most significant figures

The most decimal places

#27. The result of dividing 4.237 g by 2.51 cm³ is 1.68804780876 g/cm³. How should the density be reported?

1.68804780876 g/cm³

1.688 g/cm³

1.69 g/cm³

1.7 g/cm³

#28. When performing addition or subtraction, the final result should have as many decimal places as the number with

The fewest decimal places

The fewest significant figures

The most significant figures

The most decimal places

#29. What should the result of adding 436.32 g, 227.2 g, and 0.301 g be rounded to?

663.82 g

663.821 g

663.8 g

664 g

#30. If the speed of light is given as 3.00 × 10⁸ m/s (three significant figures) and one year is given as 3.1557 × 10⁷ s (five significant figures), what is the number of significant figures in the light year calculation (9.47 × 10¹⁵ m)?

One significant figure

Two significant figures

Three significant figures

Four significant figures

#31. When subtracting 0.307 m from 0.304 m, the result should be expressed as

0.003 m

3 × 10⁻³ m

0.00300 m

3 m

#32. What should the final result of the division 3.00 × 10⁻³ m ÷ 4.0 be rounded to?

0.00075 m

0.0008 m

0.000750 m

0.0008 m

#33. In the example where the mass of an object is 4.237 g and its volume is 2.51 cm³, how many significant figures should the final density (1.69 g/cm³) have?

One significant figure

Two significant figures

Three significant figures

Four significant figures

#34. If a number is measured to 5 significant figures and another number to 2 significant figures, how many significant figures should the final result of the multiplication of these two numbers have?

2 significant figures

3 significant figures

4 significant figures

5 significant figures

#35. Which of the following is the correct way to report the sum of 4.2, 5.53, and 1.723?

11.453

11.45

11.5

12

#36. When rounding off the number 2.746 to three significant figures, the result is

2.75

2.74

2.746

2.7

#37. How would the number 1.743 be rounded off to two significant figures?

1.74

1.75

1.7

1.743

#38. According to the rounding off rule, how should the number 2.745 be rounded to three significant figures?

2.74

2.75

2.7

2.8

#39. If you have the number 2.735 and you need to round it to three significant figures, the result is

2.73

2.74

2.75

2.7

#40. In multi-step calculations, how should you handle significant figures during intermediate steps?

Round off to the final result immediately

Retain one extra digit in intermediate steps, then round off at the end

Round off to the nearest ten

No rounding is needed during intermediate steps

#41. What is the correct way to round the number 1.99792458 × 10⁸ m/s for the speed of light in a simple calculation?

1.9979 × 10⁸ m/s

2 × 10⁸ m/s

3 × 10⁸ m/s

2.0 × 10⁸ m/s

#42. When rounding the number 3.1415926 to two significant figures, the result is

3.14

3.142

3.1

3.0

#43. he value of π (3.1415926…) is typically rounded to how many significant figures in most physics calculations?

One

Two

Three

Infinite

#44. If a number has an odd preceding digit and is to be rounded off at a 5 (like 2.735), how is it rounded?

The preceding digit is left unchanged

The preceding digit is raised by 1

The 5 is simply dropped

The number is rounded to the nearest whole number

#45. What should be done when rounding off numbers with exact values (like 2π in the formula)?

Round the number to a large number of significant figures

The exact number can be treated as having infinite significant figures

The number should always be rounded to two significant figures

The exact numbers do not affect significant figures

#46. The side length of a cube is measured to be 7.203 m. What is the total surface area of the cube rounded to the appropriate number of significant figures?

311 m²

311.3 m²

311.29 m²

311.299 m²

#47. If the volume of a cube is calculated using a side length of 7.203 m (with 4 significant figures), what is the volume of the cube rounded to the appropriate number of significant figures?

373.7 m³

373.714 m³

373 m³

374 m³

#48. A substance has a mass of 5.74 g and occupies a volume of 1.2 cm³. What is the density of the substance rounded to the correct number of significant figures?

4.78 g/cm³

4.7833 g/cm³

4.8 g/cm³

4 g/cm³

#49. The result of an arithmetic division should retain as many significant figures as the number with the least number of significant figures. If the mass of a substance is 4.237 g (4 significant figures) and the volume is 2.51 cm³ (3 significant figures), how many significant figures should the calculated density have?

3 significant figures

4 significant figures

5 significant figures

2 significant figures

#50. In which of the following operations does the rule for significant figures state that the final result should retain as many decimal places as the number with the least decimal places?

Multiplication

Division

Addition

All of the above

#51. The number 2.745 is rounded to 3 significant figures. What is the result based on the rounding rule for significant figures?

2.74

2.75

2.74

2.76

#52. f the measured mass is 3.452 g (4 significant figures) and the volume is 5.6 cm³ (2 significant figures), what is the density of the substance with appropriate significant figures?

0.616 g/cm³

0.615 g/cm³

0.62 g/cm³

0.610 g/cm³

#53. When calculating the area of a rectangular sheet with length 16.2 cm ± 0.1 cm and breadth 10.1 cm ± 0.1 cm, what is the uncertainty in the final result of the area?

1.6 cm²

2.6 cm²

3 cm²

0.1 cm²

#54. If the length of a rectangular sheet is measured as 16.2 cm ± 0.1 cm and the breadth is 10.1 cm ± 0.1 cm, what is the area of the sheet to the appropriate significant figures?

164.0 cm²

163.62 cm²

164 cm²

163.6 cm²

#55. When performing the subtraction 12.9 g – 7.06 g, both with three significant figures, the result should be expressed with how many significant figures?

3 significant figures

2 significant figures

4 significant figures

1 significant figure

#56. The relative error in a measurement of mass is calculated as ± 0.01 g for a value of 1.02 g. What is the relative error in percentage?

± 0.1%

± 1%

± 0.5%

± 0.2%

#57. If the mass of an object is 9.89 g and the uncertainty is ± 0.01 g, what is the relative error in percentage for this measurement?

± 0.1%

± 0.01%

± 0.5%

± 1%

#58. According to the rules of determining uncertainty, which of the following should be done to avoid rounding errors in a multi-step calculation?

Always round intermediate results to the same number of significant figures as the input data.

Retain one extra significant figure in intermediate steps.

Never round intermediate results.

Round all results to the same number of significant figures after each operation.

#59. n an example where the reciprocal of 9.58 is calculated first to three significant figures and then the reciprocal of 0.104 is calculated to three significant figures, what would be the correct final value?

9.58

0.104

9.62

0.103

#60. If you subtract two numbers with different decimal places, the number of decimal places in the result will be determined by:

The number with the least number of significant figures.

The number with the greatest number of significant figures.

The number with the least number of decimal places.

The number with the most number of decimal places.

#61. What are the seven base quantities used to describe physical quantities in terms of their dimensions?

Length, Mass, Time, Electric Current, Thermodynamic Temperature, Luminous Intensity, and Amount of Substance

Length, Mass, Time, Volume, Density, Electric Current, and Luminous Intensity

Length, Weight, Mass, Time, Temperature, Velocity, and Force

Length, Mass, Time, Energy, Temperature, Electric Current, and Amount of Substance

#62. Length, Mass, Time, Energy, Temperature, Electric Current, and Amount of Substance

[M]² [L]

[L]²

[L]³

[L] [M] [T]²

#63. What are the dimensions of force in terms of mass [M], length [L], and time [T]?

[M] [L] [T]

[M] [L]/[T]²

[M]² [L] [T]

[M] [L]²/[T]³

#64. If the velocity of an object is given as [L]/[T], what is its dimension?

[M] [L]/[T]²

[L]²/[T]

[L]/[T]

[M] [T]²/[L]

#65. Which of the following is correct about the dimensions of a physical quantity?

The magnitude of the physical quantity is always considered while expressing its dimensions.

The dimensions represent the powers of the base quantities in terms of the physical quantity.

The dimensions of a physical quantity are affected by the magnitude of the quantity.

The dimensions of a physical quantity depend only on the value of the quantity.

#66. The dimension of a physical quantity like acceleration is expressed as:

[L] [T]

[L]/[T]

[L] [T]²

[L]/[T]²

#67. Which of the following physical quantities has the dimension [M] [L] [T]⁻²?

Force

Velocity

Acceleration

Work

#68. The dimensions of speed can be expressed as:

[M]/[T]

[L]²/[T]

[L]/[T]

[L] [T]⁻¹

#69. What is the dimension of energy in terms of mass [M], length [L], and time [T]?

[M] [L]²/[T]

[M]² [L] [T]

[M] [L]²/[T]²

[M] [L]³/[T]

#70. What do the dimensions of a physical quantity express?

The actual magnitude of the quantity.

The nature of the base quantities that define the physical quantity.

The unit of the physical quantity.

The numerical value of the physical quantity.

#71. What is the dimensional formula of speed or velocity?

[M] [L] [T]

[M] [L] [T]⁻¹

[M] [L]² [T]

[M] [L] [T]²

#72. Which of the following represents the dimensional formula of acceleration?

[M] [L] [T]

[M] [L] [T]⁻¹

[M] [L] [T]⁻²

[M] [L]² [T]⁻²

#73. The dimensional formula of mass density is:

[M] [L] [T]

[M] [L]⁻³ [T]⁰

[M] [L] [T]⁰

[M] [L]³ [T]⁻²

#74. What is the dimensional equation of force?

[F] = [M] [L]² [T]⁻²

[F] = [M] [L] [T]⁻²

[F] = [M] [L] [T]

[F] = [M] [L] [T]²

#75. Which of the following is the correct dimensional formula for volume?

[M]² [L]

[M] [L]³ [T]⁰

[M] [L]² [T]

[M] [L] [T]⁻²

#76. What is the dimensional formula for the physical quantity of mass density?

[M] [L] [T]

[M] [L]⁻³ [T]⁰

[M] [L] [T]²

[M] [L]² [T]⁰

#77. If the dimensional formula of a physical quantity is [M] [L]² [T]⁻², which physical quantity could it represent?

Acceleration

Force

Speed

Volume

#78. Which of the following is the dimensional equation of volume?

[V] = [M] [L] [T]

[V] = [M] [L]³ [T]⁰

[V] = [M] [L]² [T]

[V] = [M] [L] [T]⁻²

#79. The dimensional formula for force is expressed as:

[M] [L] [T]

[M] [L]² [T]⁻²

[M] [L] [T]

[M] [L] [T]⁰

#80. What does the dimensional formula of a physical quantity indicate?

The numerical value of the physical quantity

The relationship between base quantities in the expression for the physical quantity

The unit of the physical quantity

The magnitude of the physical quantity

#81. What is the significance of dimensional analysis in physics?

It helps to find the exact value of a physical quantity.

It helps in checking the consistency and correctness of physical equations

It gives a numerical approximation of a physical quantity.

It provides the units for every physical quantity.

#82. What can you conclude if two physical quantities are added or subtracted in an equation?

They must have different units.

They must have the same dimensions.

They must have different dimensions.

They must have the same magnitude.

#83. n dimensional analysis, what can you do with identical units in the numerator and denominator?

Ignore them

Add them together

Cancel them out

Multiply them

#84. What is the primary goal of dimensional analysis when dealing with physical equations?

To determine the numerical values of the quantities involved

To ensure dimensional consistency or homogeneity of the equation

To define the units of physical quantities

To calculate the most accurate measurements

#85. What should be true for the physical quantities represented by symbols on both sides of a mathematical equation in dimensional analysis?

They must have different units

They must have the same magnitude

They must have the same dimensions

They must be in the same numerical range

#86. Which of the following is a practical application of dimensional analysis?

To predict the exact numerical value of a physical constant

To determine the dimensions of unknown physical quantities

To change the units of a physical quantity

To calculate the density of an unknown material

#87. What does dimensional consistency or homogeneity in an equation imply?

The units on both sides of the equation are equal.

The physical quantities involved are equal.

The magnitude of each term in the equation is balanced.

The units and dimensions of all terms in the equation match correctly.

#88. When applying dimensional analysis, which of the following is valid?

Physical quantities with different dimensions can be multiplied together.

Physical quantities must have the same dimensions to be added or subtracted.

The dimensions of all physical quantities must be the same to form a valid equation.

Dimensional analysis can be used to derive numerical values for constants.

#89. What is the primary rule when dealing with the multiplication or division of physical quantities in dimensional analysis?

The dimensions of the quantities should be treated like ordinary algebraic symbols.

The units of the quantities should be treated like ordinary algebraic symbols.

The physical quantities should always have the same magnitude.

The dimensions of the quantities must be ignored during multiplication or division.

#90. If an equation in physics is dimensionally inconsistent, what does that imply?

The equation is mathematically correct.

The equation is physically valid.

There is an error or mistake in the equation's derivation or application.

The equation can be used with different units.

#91. What is the principle of homogeneity of dimensions in an equation?

Physical quantities with different dimensions can be added together.

The dimensions of the physical quantities in an equation must match on both sides of the equation.

The dimensions of physical quantities can be ignored in an equation.

Physical quantities with different units can be added together.

#92. . What happens if the dimensions of the terms in an equation are not the same?

The equation is dimensionally consistent and correct.

The equation is dimensionally inconsistent and incorrect.

The equation is only correct if the units match.

The equation cannot be tested using dimensional analysis.

#93. Which of the following can be used to check the correctness of an equation?

Checking the dimensions of all terms in the equation.

Comparing the numerical values of the terms.

Looking at the physical interpretation of the equation only.

Adding or subtracting quantities from both sides of the equation.

#94. Can a dimensionally consistent equation still be incorrect?

No, a dimensionally consistent equation must always be correct.

Yes, a dimensionally consistent equation may still not represent the correct physical relationship.

Yes, a dimensionally consistent equation means the values are numerically correct.

No, dimensional consistency guarantees that the equation is always correct.

#95. When testing the dimensional consistency of an equation, what must the dimensions of all terms be?

They must all be dimensionless.

They must be the same on both sides of the equation.

They must be different for each term.

They must be converted to the same units.

#96. What does a dimensionally correct equation ensure?

The equation is physically correct.

The equation represents a valid relationship between the physical quantities.

The equation is valid for all units of measurement.

The equation has no errors in its dimensional representation.

#97. What is true about dimensionless quantities?

They must have dimensions.

They are ratios of similar physical quantities, such as angle or refractive index.

They cannot be used in equations.

They must always be given in the same unit.

#98. If an equation fails the dimensional consistency test, what can be concluded?

The equation is dimensionally correct and valid.

The equation must be re-derived using correct dimensions.

The equation is dimensionally inconsistent and incorrect.

The equation is correct as long as it passes the unit consistency test.

#99. What is the advantage of using dimensional analysis over unit consistency?

Dimensional analysis helps in converting units.

Dimensional analysis avoids the need to worry about conversions among multiples and sub-multiples of the units.

Dimensional analysis provides the exact numerical values for the quantities.

Dimensional analysis can only be used in certain units.

#100. If an equation passes the dimensional consistency test, what does that imply?

The equation is guaranteed to be physically correct.

The equation might still be incorrect, but it does not violate the dimensional rules.

The equation is dimensionally inconsistent and incorrect.

The equation is definitely correct, and no further testing is required.

#101. Which of the following formulae is ruled out on the basis of dimensional analysis for kinetic energy (K)?

K = m² v³

K = (1/2)mv²

K = ma

K = (3/16)mv²

K = (1/2)mv² + ma

#102. What is the correct formula for kinetic energy based on dimensional analysis?

K = m² v³

K = (1/2)mv²

K = ma

K = (3/16)mv²

K = (1/2)mv² + ma

#103. In Example 1.5, the time period TTT of a simple pendulum depends on which of the following physical quantities?

Length (l) and mass (m)

Length (l), mass (m), and gravity (g)

Mass (m) and gravity (g)

Only length (l)

#104. What is the dimensional form of the equation for the time period TTT of the simple pendulum as derived using dimensional analysis?

T = k l² g⁻¹

T = k l g

T = k l¹/² g⁻¹/²

T = k l g

#105. What does dimensional analysis help us to determine?

Exact value of constants in equations

The relationship between physical quantities

The dimensional validity of an equation

Exact measurements of physical quantities

#106. What can dimensional analysis not determine about physical equations?

The dimensions of physical quantities

The exact relationship between physical quantities

The correctness of an equation

Whether two quantities can be added or subtracted

#107. What is the main purpose of dimensional analysis?

To measure physical quantities accurately

To check the dimensional consistency of equations

To determine the exact relationship between physical quantities

To express physical quantities in scientific notation

#108. What is the correct term for the units that are derived from the base units?

Fundamental units

Derived units

SI units

Combination units

#109. Which of the following is NOT a base quantity in the International System of Units (SI)?

Length

Mass

Energy

Electric current

#110. Which system of units is internationally accepted for physical measurements?

CGS system

MKS system

International System of Units (SI)

FPS system

#111. In scientific notation, what does the power of 10 indicate?

The precision of the number

The magnitude of the quantity

The type of physical quantity

The unit of measurement

#112. Which of the following units is used to express the derived quantity of force?

Meter

Kilogram

Ampere

Newton

#113. When performing calculations involving physical quantities, how are the units treated in dimensional analysis?

Units are ignored

Units are treated as algebraic quantities

Units are only used for base quantities

Units are treated as constants

#114. What is the rule regarding significant figures in physical measurements?

Significant figures are not important

All numbers should be rounded off

Only the most significant digits should be retained

Proper significant figures must be retained according to rules for arithmetic operations

#115. What is true about dimensionally consistent equations?

They are always correct equations

They must be dimensionally wrong to be incorrect

They can still be wrong even if they are dimensionally consistent

They are always true, no exceptions

#116. What is the SI unit of luminous intensity?

Mole

Ampere

Candela

Kelvin

Results

#1. What is the purpose of a unit in measurement?

#2. What does a measurement of a physical quantity consist of?

#3. How are the units for fundamental quantities referred to?

#4. What are derived units?

#5. What is a complete set of units, including both base and derived units, called?

#6. What is the currently internationally accepted system of units for measurement?

#7. When was the SI system revised by the General Conference on Weights and Measures?

#8. Which of the following base units is common to all the three systems: CGS, FPS, and MKS?

#9. What is the unit for plane angle in the SI system?

#10. Which of the following is a derived SI unit?

#11. What is the unit for solid angle in the SI system?

#12. In the SI system, what must be specified when using the unit “mole”?

#13. What is the significance of using the decimal system in SI units?

#14. Which of the following systems was NOT mentioned as an earlier system used for measurements?

#15. What does the number of significant figures in a measurement indicate?

#16. Which of the following is a correct example of a number with three significant figures?

#17. How is the number of significant figures affected by the change in units?

#18. Which of the following is NOT considered a significant figure?

#19. How are trailing zeros treated in a number with a decimal point?

#20. How many significant figures are there in the number 4.700?

#21. When is scientific notation the best way to report measurements?

#22. Which of the following statements is true about the digit “0” in scientific notation?

#23. What is the rule for trailing zeros in a number greater than 1 and without a decimal point?

#24. Which of the following is true regarding multiplying or dividing factors in an equation?

#25. How should the number 0.0002308 be reported in scientific notation to avoid confusion about significant figures?

#26. When performing multiplication or division, the final result should have as many significant figures as the number with:

#27. The result of dividing 4.237 g by 2.51 cm³ is 1.68804780876 g/cm³. How should the density be reported?

#28. When performing addition or subtraction, the final result should have as many decimal places as the number with

#29. What should the result of adding 436.32 g, 227.2 g, and 0.301 g be rounded to?

#30. If the speed of light is given as 3.00 × 10⁸ m/s (three significant figures) and one year is given as 3.1557 × 10⁷ s (five significant figures), what is the number of significant figures in the light year calculation (9.47 × 10¹⁵ m)?

#31. When subtracting 0.307 m from 0.304 m, the result should be expressed as

#32. What should the final result of the division 3.00 × 10⁻³ m ÷ 4.0 be rounded to?

#33. In the example where the mass of an object is 4.237 g and its volume is 2.51 cm³, how many significant figures should the final density (1.69 g/cm³) have?

#34. If a number is measured to 5 significant figures and another number to 2 significant figures, how many significant figures should the final result of the multiplication of these two numbers have?

#35. Which of the following is the correct way to report the sum of 4.2, 5.53, and 1.723?

#36. When rounding off the number 2.746 to three significant figures, the result is

#37. How would the number 1.743 be rounded off to two significant figures?

#38. According to the rounding off rule, how should the number 2.745 be rounded to three significant figures?

#39. If you have the number 2.735 and you need to round it to three significant figures, the result is

#40. In multi-step calculations, how should you handle significant figures during intermediate steps?

#41. What is the correct way to round the number 1.99792458 × 10⁸ m/s for the speed of light in a simple calculation?

#42. When rounding the number 3.1415926 to two significant figures, the result is

#43. he value of π (3.1415926…) is typically rounded to how many significant figures in most physics calculations?

#44. If a number has an odd preceding digit and is to be rounded off at a 5 (like 2.735), how is it rounded?

#45. What should be done when rounding off numbers with exact values (like 2π in the formula)?

#46. The side length of a cube is measured to be 7.203 m. What is the total surface area of the cube rounded to the appropriate number of significant figures?

#47. If the volume of a cube is calculated using a side length of 7.203 m (with 4 significant figures), what is the volume of the cube rounded to the appropriate number of significant figures?

#48. A substance has a mass of 5.74 g and occupies a volume of 1.2 cm³. What is the density of the substance rounded to the correct number of significant figures?

#50. In which of the following operations does the rule for significant figures state that the final result should retain as many decimal places as the number with the least decimal places?

#51. The number 2.745 is rounded to 3 significant figures. What is the result based on the rounding rule for significant figures?

#52. f the measured mass is 3.452 g (4 significant figures) and the volume is 5.6 cm³ (2 significant figures), what is the density of the substance with appropriate significant figures?

#53. When calculating the area of a rectangular sheet with length 16.2 cm ± 0.1 cm and breadth 10.1 cm ± 0.1 cm, what is the uncertainty in the final result of the area?

#54. If the length of a rectangular sheet is measured as 16.2 cm ± 0.1 cm and the breadth is 10.1 cm ± 0.1 cm, what is the area of the sheet to the appropriate significant figures?

#55. When performing the subtraction 12.9 g – 7.06 g, both with three significant figures, the result should be expressed with how many significant figures?

#56. The relative error in a measurement of mass is calculated as ± 0.01 g for a value of 1.02 g. What is the relative error in percentage?

#57. If the mass of an object is 9.89 g and the uncertainty is ± 0.01 g, what is the relative error in percentage for this measurement?

#58. According to the rules of determining uncertainty, which of the following should be done to avoid rounding errors in a multi-step calculation?

#59. n an example where the reciprocal of 9.58 is calculated first to three significant figures and then the reciprocal of 0.104 is calculated to three significant figures, what would be the correct final value?

#60. If you subtract two numbers with different decimal places, the number of decimal places in the result will be determined by:

#61. What are the seven base quantities used to describe physical quantities in terms of their dimensions?

#62. Length, Mass, Time, Energy, Temperature, Electric Current, and Amount of Substance

#63. What are the dimensions of force in terms of mass [M], length [L], and time [T]?

#64. If the velocity of an object is given as [L]/[T], what is its dimension?

#65. Which of the following is correct about the dimensions of a physical quantity?

#66. The dimension of a physical quantity like acceleration is expressed as:

#67. Which of the following physical quantities has the dimension [M] [L] [T]⁻²?

#68. The dimensions of speed can be expressed as:

#69. What is the dimension of energy in terms of mass [M], length [L], and time [T]?

#70. What do the dimensions of a physical quantity express?

#71. What is the dimensional formula of speed or velocity?

#72. Which of the following represents the dimensional formula of acceleration?

#73. The dimensional formula of mass density is:

#74. What is the dimensional equation of force?

#75. Which of the following is the correct dimensional formula for volume?

#76. What is the dimensional formula for the physical quantity of mass density?

#77. If the dimensional formula of a physical quantity is [M] [L]² [T]⁻², which physical quantity could it represent?

#78. Which of the following is the dimensional equation of volume?

#79. The dimensional formula for force is expressed as:

#80. What does the dimensional formula of a physical quantity indicate?