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Questions and Answers
The Volume of a Cube of 1cm is Equal To _______ m³.
The Volume of a Cube of 1cm is Equal To _______ m³.
10⁻⁶
The Surface Area of a Solid Cylinder of Radius 2.0cm and Height 10.0cm is Equal To _______(mm)²
The Surface Area of a Solid Cylinder of Radius 2.0cm and Height 10.0cm is Equal To _______(mm)²
1.5 x 10⁴
A Vehicle Moving with a Speed of 18kmh¯¹ Covers _______ m in 1s.
A Vehicle Moving with a Speed of 18kmh¯¹ Covers _______ m in 1s.
5
The Relative Density of Lead is 11.3. Its Density Is _______ kgm³ or _______ gcm⁻³
The Relative Density of Lead is 11.3. Its Density Is _______ kgm³ or _______ gcm⁻³
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1kgm²s¯² = _______ gcm²s¯².
1kgm²s¯² = _______ gcm²s¯².
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1m = _______ly
1m = _______ly
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3.0m / s² = _______ km / hr²
3.0m / s² = _______ km / hr²
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6.67×10⁻¹¹ Nm² / kg² = _______ g¯¹cm³s¯²
6.67×10⁻¹¹ Nm² / kg² = _______ g¯¹cm³s¯²
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Suppose We Employ a System of Units in Which the Unit of Mass Equals a kg, the Unit of Length Equals βm, the Unit of Time is ys Show That a Calorie Has a Magnitude 4.2α¯¹β-2-γ² In Terms of the New Unit.
Suppose We Employ a System of Units in Which the Unit of Mass Equals a kg, the Unit of Length Equals βm, the Unit of Time is ys Show That a Calorie Has a Magnitude 4.2α¯¹β-2-γ² In Terms of the New Unit.
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Explain the statement "To call a dimensional quantity 'large' or 'small' is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary: Atoms Are Very Small Objects.
Explain the statement "To call a dimensional quantity 'large' or 'small' is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary: Atoms Are Very Small Objects.
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Explain the statement "To call a dimensional quantity 'large' or 'small' is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary: A Jet Plane Moves with Great Speed.
Explain the statement "To call a dimensional quantity 'large' or 'small' is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary: A Jet Plane Moves with Great Speed.
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Explain the statement "To call a dimensional quantity 'large' or 'small' is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary: The Mass of Jupiter is Very Large.
Explain the statement "To call a dimensional quantity 'large' or 'small' is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary: The Mass of Jupiter is Very Large.
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Explain the statement "To call a dimensional quantity 'large' or 'small' is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary: The Air Inside This Room Contains a Large Number of Molecules.
Explain the statement "To call a dimensional quantity 'large' or 'small' is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary: The Air Inside This Room Contains a Large Number of Molecules.
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Explain the statement "To call a dimensional quantity 'large' or 'small' is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary: A Proton is Much More Massive than an Electron.
Explain the statement "To call a dimensional quantity 'large' or 'small' is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary: A Proton is Much More Massive than an Electron.
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Explain the statement "To call a dimensional quantity 'large' or 'small' is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary: The Speed of Sound is Much Smaller than the Speed of Light.
Explain the statement "To call a dimensional quantity 'large' or 'small' is meaningless without specifying a standard for comparison”. In view of this, reframe the following statements wherever necessary: The Speed of Sound is Much Smaller than the Speed of Light.
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A New Unit of Length Is Chosen Such That the Speed of Light in Vacuum is Unity. What is the Distance Between the Sun and the Earth in Terms of the New Unit If Light Takes 8 Min and 20 S to Cover This Distance?
A New Unit of Length Is Chosen Such That the Speed of Light in Vacuum is Unity. What is the Distance Between the Sun and the Earth in Terms of the New Unit If Light Takes 8 Min and 20 S to Cover This Distance?
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Which of the following is the Most Precise Device for Measuring Length?
Which of the following is the Most Precise Device for Measuring Length?
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A Student Measures the Thickness of Human Hair Using a Microscope of Magnification 100. He Makes 20 Observations and Finds that the Average Width of the Hair in the Field of View of the Microscope is 3.5 Mm. Estimate the Thickness of Hair.
A Student Measures the Thickness of Human Hair Using a Microscope of Magnification 100. He Makes 20 Observations and Finds that the Average Width of the Hair in the Field of View of the Microscope is 3.5 Mm. Estimate the Thickness of Hair.
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You Are Given a Thread and a Meter Scale. How Will You Estimate the Diameter of the Thread?
You Are Given a Thread and a Meter Scale. How Will You Estimate the Diameter of the Thread?
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It is possible to Increase the Accuracy of the Screw Gauge Arbitrarily by Increasing the Number of Divisions on the Circular Scale.
It is possible to Increase the Accuracy of the Screw Gauge Arbitrarily by Increasing the Number of Divisions on the Circular Scale.
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The Mean Diameter of a Thin Brass Rod Is to Be Measured by Vernier Calipers. Why Is a Set of 100 Measurements of the Diameter Expected to Yield a More Reliable Estimate Than a Set of 5 Measurements Only?
The Mean Diameter of a Thin Brass Rod Is to Be Measured by Vernier Calipers. Why Is a Set of 100 Measurements of the Diameter Expected to Yield a More Reliable Estimate Than a Set of 5 Measurements Only?
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The Photograph of a House Occupies an Area of 1.75cm² On a 35 Mm Slide. the Slide Is Projected onto a Screen, and the Area of the House on the Screen is 1.55m². What is the Linear Magnification of the Projector-Screen Arrangement?
The Photograph of a House Occupies an Area of 1.75cm² On a 35 Mm Slide. the Slide Is Projected onto a Screen, and the Area of the House on the Screen is 1.55m². What is the Linear Magnification of the Projector-Screen Arrangement?
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State the Number of Significant Figures in the Following: 0.007m²
State the Number of Significant Figures in the Following: 0.007m²
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State the Number of Significant Figures in the Following: 2.64×10²⁴ kg
State the Number of Significant Figures in the Following: 2.64×10²⁴ kg
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State the Number of Significant Figures in the Following: 0.2370gcm⁻³
State the Number of Significant Figures in the Following: 0.2370gcm⁻³
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State the Number of Significant Figures in the Following: 6.320J
State the Number of Significant Figures in the Following: 6.320J
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State the Number of Significant Figures in the Following: 6.032Nm⁻²
State the Number of Significant Figures in the Following: 6.032Nm⁻²
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The Length, Breadth and Thickness of a Rectangular Sheet of Metal Are 4.234m, 1.005m and 2.01cm Respectively. Give the Area and Volume of the Sheet to Correct Significant Figure.
The Length, Breadth and Thickness of a Rectangular Sheet of Metal Are 4.234m, 1.005m and 2.01cm Respectively. Give the Area and Volume of the Sheet to Correct Significant Figure.
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The Mass of a Box Measured by a Grocer's Balance is 2.300 Kg. Two Gold Pieces of Masses 20.15 G and 20.17 G Are Added to the Box. What Is The Total Mass of the Box?
The Mass of a Box Measured by a Grocer's Balance is 2.300 Kg. Two Gold Pieces of Masses 20.15 G and 20.17 G Are Added to the Box. What Is The Total Mass of the Box?
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The Mass of a Box Measured by a Grocer's Balance is 2.300 Kg. Two Gold Pieces of Masses 20.15 G and 20.17 G Are Added to the Box. What Is The Difference in the Masses of the Pieces to Correct Significant Figures?
The Mass of a Box Measured by a Grocer's Balance is 2.300 Kg. Two Gold Pieces of Masses 20.15 G and 20.17 G Are Added to the Box. What Is The Difference in the Masses of the Pieces to Correct Significant Figures?
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A Physical Quantity P Is Related to Four Observables a,b,c and das Follows: P=(√cd) The Percentage Errors of Measurement in a, b, c and dare 1%, 3%, 4% and 2% Respectively. What Is the Percentage Error in the Quantity P? If the Value of Calculated Using the Above Relation Turns Out to Be 3.763, to What Value Should You Round Off the Result?
A Physical Quantity P Is Related to Four Observables a,b,c and das Follows: P=(√cd) The Percentage Errors of Measurement in a, b, c and dare 1%, 3%, 4% and 2% Respectively. What Is the Percentage Error in the Quantity P? If the Value of Calculated Using the Above Relation Turns Out to Be 3.763, to What Value Should You Round Off the Result?
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A Book with Many Printing Errors Contains Four Different Formulas for the Displacement y Of a Particle Undergoing a Certain Periodic Motion:(a = Maximum Displacement of the Particle, v = Speed of the Particle. T = Time Period of Motion). Rule Out the Wrong Formulas on Dimensional Grounds: y=asin (2πt/T)
A Book with Many Printing Errors Contains Four Different Formulas for the Displacement y Of a Particle Undergoing a Certain Periodic Motion:(a = Maximum Displacement of the Particle, v = Speed of the Particle. T = Time Period of Motion). Rule Out the Wrong Formulas on Dimensional Grounds: y=asin (2πt/T)
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A Book with Many Printing Errors Contains Four Different Formulas for the Displacement y Of a Particle Undergoing a Certain Periodic Motion:(a = Maximum Displacement of the Particle, v = Speed of the Particle. T = Time Period of Motion). Rule Out the Wrong Formulas on Dimensional Grounds: y = a sin vt
A Book with Many Printing Errors Contains Four Different Formulas for the Displacement y Of a Particle Undergoing a Certain Periodic Motion:(a = Maximum Displacement of the Particle, v = Speed of the Particle. T = Time Period of Motion). Rule Out the Wrong Formulas on Dimensional Grounds: y = a sin vt
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A Book with Many Printing Errors Contains Four Different Formulas for the Displacement y Of a Particle Undergoing a Certain Periodic Motion:(a = Maximum Displacement of the Particle, v = Speed of the Particle. T = Time Period of Motion). Rule Out the Wrong Formulas on Dimensional Grounds: y=sin(t/a)
A Book with Many Printing Errors Contains Four Different Formulas for the Displacement y Of a Particle Undergoing a Certain Periodic Motion:(a = Maximum Displacement of the Particle, v = Speed of the Particle. T = Time Period of Motion). Rule Out the Wrong Formulas on Dimensional Grounds: y=sin(t/a)
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A Book with Many Printing Errors Contains Four Different Formulas for the Displacement y Of a Particle Undergoing a Certain Periodic Motion:(a = Maximum Displacement of the Particle, v = Speed of the Particle. T = Time Period of Motion). Rule Out the Wrong Formulas on Dimensional Grounds: y = (a√2) sin(2πt/T) + cos(2πt/T)
A Book with Many Printing Errors Contains Four Different Formulas for the Displacement y Of a Particle Undergoing a Certain Periodic Motion:(a = Maximum Displacement of the Particle, v = Speed of the Particle. T = Time Period of Motion). Rule Out the Wrong Formulas on Dimensional Grounds: y = (a√2) sin(2πt/T) + cos(2πt/T)
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A Famous Relation in Physics Relates ‘Moving Mass' M to the 'Rest Mass'm of a Particle in Terms of Its Speed v and Speed of Light c. (This Relation First Arise as a Consequence of Special Relativity Due to Albert Einstein). A Boy Recalls the Relation Almost Correctly but Forgets Where to Put the Constant c. He Writes: m = mo/(1-v²)². What is the correct relation?
A Famous Relation in Physics Relates ‘Moving Mass' M to the 'Rest Mass'm of a Particle in Terms of Its Speed v and Speed of Light c. (This Relation First Arise as a Consequence of Special Relativity Due to Albert Einstein). A Boy Recalls the Relation Almost Correctly but Forgets Where to Put the Constant c. He Writes: m = mo/(1-v²)². What is the correct relation?
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The Unit of Length Convenient on the Atomic Scale is Known as an Angstrom and is Denoted By A:1 A=10⁻¹⁰ m . The Size of a Hydrogen Atom Is About 0.5a. What is the Total Atomic Volume In m³ of a Mole of Hydrogen Atoms?
The Unit of Length Convenient on the Atomic Scale is Known as an Angstrom and is Denoted By A:1 A=10⁻¹⁰ m . The Size of a Hydrogen Atom Is About 0.5a. What is the Total Atomic Volume In m³ of a Mole of Hydrogen Atoms?
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One Mole of an Ideal Gas at Standard Temperature and Pressure Occupies 22.4L(molar Volume). What is the Ratio of Molar Volume to the Atomic Volume of a Mole of Hydrogen? (Take the Size of a Hydrogen Molecule to Be About 1A ). Why is This Ratio So Large?
One Mole of an Ideal Gas at Standard Temperature and Pressure Occupies 22.4L(molar Volume). What is the Ratio of Molar Volume to the Atomic Volume of a Mole of Hydrogen? (Take the Size of a Hydrogen Molecule to Be About 1A ). Why is This Ratio So Large?
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Explain This Common Observation Clearly: If You Look Out of the Window of a Fast-Moving Train, the Nearby Trees, Houses Etc. Seems to Move Rapidly in a Direction Opposite to the Train's Motion, but the Distant Objects (hill Tops, the Moon, the Stars Etc.) Seems to Be Stationary. (In Fact, Since You Are Aware That You Are Moving, These Distant Objects Seem to Move with You).
Explain This Common Observation Clearly: If You Look Out of the Window of a Fast-Moving Train, the Nearby Trees, Houses Etc. Seems to Move Rapidly in a Direction Opposite to the Train's Motion, but the Distant Objects (hill Tops, the Moon, the Stars Etc.) Seems to Be Stationary. (In Fact, Since You Are Aware That You Are Moving, These Distant Objects Seem to Move with You).
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The Sun Is a Hot Plasma (ionized Matter) With Its Inner Core at a Temperature Exceeding 10⁷ K and Its Outer Surface at a Temperature of About 6000k. at These High Temperatures No Substance Remains in a Solid or Liquid Phase. in What Range Do You Expect the Mass Density of the Sun to Be, in the Range of Densities of Solids and Liquids or Gases? Check If Your Guess Is Correct from the Following Data: Mass of The Sun = 2.0×10³⁰ kg, Radius of the Sun = 7.0×10⁸ m .
The Sun Is a Hot Plasma (ionized Matter) With Its Inner Core at a Temperature Exceeding 10⁷ K and Its Outer Surface at a Temperature of About 6000k. at These High Temperatures No Substance Remains in a Solid or Liquid Phase. in What Range Do You Expect the Mass Density of the Sun to Be, in the Range of Densities of Solids and Liquids or Gases? Check If Your Guess Is Correct from the Following Data: Mass of The Sun = 2.0×10³⁰ kg, Radius of the Sun = 7.0×10⁸ m .
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Study Notes
Units and Measurement
- Volume of a 1 cm cube: 10⁻⁶ m³
- Surface area of a cylinder (radius 2 cm, height 10 cm): 1.5 x 10⁴ mm²
- Conversion: 1 km/h = 5/18 m/s
- Distance covered (18 km/h): 5 m in 1 second
- Relative density of lead: 11.3
- Density of lead: 11.3 x 10³ kg/m³
- 1 kgm²s⁻²: 10⁷ gcm²s⁻²
- 1 m: 1.057 x 10⁻¹⁶ ly
- 3.0 m/s²: 3.9 x 10⁻³ km/hr²
- 6.67 x 10⁻¹¹ Nm²/kg²: 6.67 x 10⁻⁸ cm³s⁻²g⁻¹
- 1 calorie: 4.2α⁻¹β⁻²γ² in new units
Dimensional Analysis
- Dimensional consistency: The dimensions of the left-hand side of an equation must equal the dimensions of the right-hand side.
- Example: y = a sin (2πt/T), where y = displacement a = amplitude t= time T= time period of motion. This formula is dimensionally correct.
Significant Figures
- Decimal numbers less than 1: Only the non-zero digits are significant.
- Decimal numbers greater than or equal to 1: All non-zero digits and zeros between non-zero digits are significant
Other
- Precise device for measuring length: A device with the smallest least count
- Estimating thread diameter: Wrap thread on a smooth rod, measure the length and calculate using a ratio
- Diameter of a thin brass rod: Measuring involves taking many observations to reduce random error. More observations = more reliable estimate.
- Linear magnification of a projector: Calculate area ratio to find magnification.
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Description
Test your knowledge on units, measurements, dimensional analysis, and significant figures in physics. This quiz covers essential principles like volume, density, and conversion factors, ensuring a solid understanding of the foundational concepts in physical science.
