Physical Quantities and Units Quiz
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Questions and Answers

Why is conducting 100 measurements of the diameter of a brass rod expected to yield a more reliable estimate than 5 measurements?

  • More measurements ensure the measurements are evenly distributed.
  • Less chance of human error occurs with fewer measurements.
  • Averages are more accurate with a higher sample size. (correct)
  • Variability in measurements is reduced with more data points. (correct)

What is the linear magnification when a photograph occupies an area of 1.75 cm² on a slide and the house's projected area is 1.55 m²?

  • 0.0113
  • 1200
  • 885.71 (correct)
  • 40

How many significant figures are in the measurement 0.007 m²?

  • 1 (correct)
  • 3
  • 2
  • 4

What is the correct total mass of a box that measures 2.30 kg with additional masses of 20.15 g and 20.17 g, considering significant figures?

<p>2.36 kg (B)</p> Signup and view all the answers

Where should the constant c be placed in the equation m = m0(1 - v^2/c^2)^{1/2}?

<p>Inside the square root. (A)</p> Signup and view all the answers

What is the total atomic volume in m³ of one mole of hydrogen atoms, given that the size of a hydrogen atom is approximately 0.5 Å?

<p>2.25 x 10⁻²⁶ (A)</p> Signup and view all the answers

What is the ratio of the molar volume of an ideal gas at standard temperature and pressure, 22.4 L, to the atomic volume of one mole of hydrogen, assuming the atomic size is 1 Å?

<p>1.2 x 10⁸ (A)</p> Signup and view all the answers

Why do nearby trees and houses appear to move rapidly in the opposite direction of a fast-moving train, while distant objects seem stationary?

<p>Objects further away have less apparent angular motion. (C)</p> Signup and view all the answers

What is the volume of a cube with a side length of 1 cm in cubic meters?

<p>0.000001 m³ (A)</p> Signup and view all the answers

What is the surface area of a solid cylinder with a radius of 2.0 cm and height of 10.0 cm in square millimeters?

<p>600 mm² (A)</p> Signup and view all the answers

A vehicle travelling at a speed of 18 km/h covers how many meters in one second?

<p>7.2 m (A)</p> Signup and view all the answers

What is the relative density of lead expressed in g/cm³?

<p>11.3 g/cm³ (D)</p> Signup and view all the answers

What is the equivalent of 1 kg m² s⁻² in g cm² s⁻²?

<p>1,000,000 g cm² s⁻² (C)</p> Signup and view all the answers

In a system of units where mass equals α kg, length equals β m, and time equals γ s, how is a calorie defined?

<p>4.2 α⁻1 β⁻2 γ² (C)</p> Signup and view all the answers

Which option provides the most precise measurement device for length?

<p>Optical instrument measuring length within a wavelength of light (C)</p> Signup and view all the answers

What is the speed of light in a new unit where it is defined as unity?

<p>1 unit of length equals light's travel distance in one second (C)</p> Signup and view all the answers

Flashcards

Volume of a 1 cm cube

1 cubic centimeter (cm³), or 10⁻⁶ cubic meters (m³)

Surface area of a cylinder (radius 2cm, height 10cm)

Numerical value in square millimeters (mm²). Requires calculation.

18 km/h in meters/second

5 m/s

Density of lead (relative density 11.3)

11.3 g/cm³ or 11300 kg/m³

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1 kg m²/s² in g cm²/s²

10⁵ g cm²/s²

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1 meter in light-years

A very small fraction of a light-year.

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3.0 m/s² in km/h²

3.3 × 10⁻⁵km/h²

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G (gravitational constant) unit conversion

6.67 × 10⁻⁸ (cm)³ (s⁻²) (g⁻¹)

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More measurements, more reliable estimate

Taking many measurements of a quantity, like the diameter of a rod, leads to a more accurate average value and reduces the impact of random errors.

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Linear magnification

The ratio of the image size to the object size in a projection system like a projector and screen.

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Significant figures

The reliably known or estimated digits in a measurement or calculation. Useful for representing the uncertainty in a measurement.

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Atomic volume of a mole

The total volume occupied by one mole of atoms.

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Molar volume

The volume occupied by one mole of a substance (gas).

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Ratio of molar volume to atomic volume

The ratio of the volume occupied by one mole of a substance in gaseous form to the volume occupied by one mole of the same substance as atoms.

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Apparent motion of distant objects

Distance objects appear stationary when you're in a moving vehicle while closer objects appear to move in the opposite direction.

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Relativistic mass

The mass of an object increases with its speed relative to the observer.

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Study Notes

Physical Quantities and Units

  • Volume of a 1 cm cube: 1 x 10-6 m3
  • Surface area of a cylinder (radius 2 cm, height 10 cm): (Calculate this value) mm2 (missing data)
  • Distance covered by a vehicle (speed 18 km/h, time 1 second): (calculate this value) m
  • Density of lead: 11.3 g/cm3 or 11300 kg/m3
  • 1 kg m2 s−2 = 107 g cm2 s−2
  • 1 m = (missing value) ly
  • 3.0 m/s2 = (missing value) km/h2
  • Gravitational constant (G): 6.67 × 10−11 N m2/kg2 = (missing value) cm3 s−2 g−1
  • Calorie unit: 4.2 Joules (J) = 4.2 kg m2/s2

Systems of Units and Dimensional Analysis

  • A calorie's magnitude (in new units): 4.2α-1β-2γ2
  • Dimensional analysis: "Large" or "small" is meaningless without a comparison standard.
  • Examples include: Atoms are very small objects, a jet plane moves with great speed, the mass of Jupiter is very large, etc.

Speed of Light and Distance

  • Light travel time between Sun and Earth: (calculate this value based on provided time, not the information itself) (missing units)

Measurement Devices and Techniques

  • Precision of measuring length: Vernier calipers, screw gauges, and optical instruments. An optical instrument is most precise.
  • Microscopic hair measurement: Calculated width in mm, use 20 observations for average and magnification.
  • Estimating thread diameter: Use a thread, a ruler, and careful measurements/data gathering.
  • Screw gauge calibration: Increasing divisions on a screw gauge's circular scale does not improve measurement arbitrarily.
  • Vernier caliper measurement precision: 100 measurements of the diameter give a more precise estimate than 5 measurements.

Linear Magnification and Significant Figures

  • Linear magnification of projector: calculated value from provided data.
  • Significance figures example: (Significant figures for provided data.)

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Related Documents

Units and Measurements PDF

Description

Test your understanding of physical quantities and units through a series of calculations and concepts. This quiz covers topics such as volume, surface area, density, and dimensional analysis. Perfect for students looking to reinforce their knowledge in physics.

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