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Conservation of energy - Quiz
Contributed by: Bull
  • 1. Which author wrote 'The Refrigerator and the Universe'?
A) Cornelius Lanczos
B) Goldstein, Martin and Inge F.
C) Raymond Serway
D) Kroemer and Kittel
  • 2. In which book does Victor J. Stenger discuss conservation of energy in chapter 12?
A) From Watt to Clausius
B) Science and Hypothesis
C) The Science of Energy
D) Timeless Reality
  • 3. Who wrote 'History and Root of the Principles of the Conservation of Energy' in 1872?
A) H. Poincaré
B) T.S. Kuhn
C) E. Mach
D) Sadi Carnot
  • 4. What is the title of the book by D.S.L. Cardwell concerning thermodynamics?
A) From Watt to Clausius
B) Thinking about Consciousness
C) The Refrigerator and the Universe
D) Five Equations That Changed the World
  • 5. Which author is associated with the work 'The Variational Principles of Mechanics'?
A) Paul Tipler
B) John W. Jewett
C) Cornelius Lanczos
D) Peter J. Nolan
  • 6. In what year was the book 'The Science of Energy: Cultural History of Energy Physics in Victorian Britain' published?
A) 1998
B) 1872
C) 1957
D) 1965
  • 7. Which of these is a book by Henri Poincaré?
A) Science and Hypothesis
B) The Refrigerator and the Universe
C) Thermal Physics
D) Fundamentals of College Physics
  • 8. Who authored the resource letter on the evolution of energy concepts from Galileo to Helmholtz?
A) E.N. Hiebert
B) G. Sarton
C) C. Smith
D) T.M. Brown
  • 9. Which book explicitly mentions 'Thermodynamics' in its title and was written by Paul Tipler?
A) Physics for Scientists and Engineers: Mechanics, Oscillations and Waves, Thermodynamics
B) Thermal Physics
C) Principles of Modern Chemistry
D) Thinking about Consciousness
  • 10. Which author wrote 'Five Equations That Changed the World'?
A) M. Guillen
B) T.S. Kuhn
C) E. Mach
D) H. Poincaré
  • 11. What does the law of conservation of energy state about an isolated system?
A) Energy is constantly created over time.
B) The total energy fluctuates based on entropy.
C) The total energy remains constant.
D) Mass is converted into energy infinitely.
  • 12. How can the total amount of energy in a closed system be changed?
A) By destroying existing energy.
B) By creating new energy within the system.
C) Through energy entering or leaving the system.
D) It cannot be changed under any circumstances.
  • 13. Which theorem rigorously proves the conservation of energy based on time translation symmetry?
A) The stationary-action principle
B) Bernoulli's principle
C) Noether's theorem
D) Torricelli's principle
  • 14. A perpetual motion machine of the first kind cannot exist because of:
A) The law of universal gravitation.
B) Frictional forces that are too high.
C) The law of conservation of energy.
D) The lack of advanced engineering.
  • 15. What did Thales of Miletus believe was the underlying substance of everything?
A) Air
B) Water
C) Fire
D) Atoms
  • 16. Who pointed out that the height a moving body rises is equal to the height from which it falls?
A) Isaac Newton
B) Gottfried Leibniz
C) Galileo
D) Simon Stevin
  • 17. What principle did Christiaan Huygens use to derive the formula for the center of oscillation?
A) The law of inertia
B) Torricelli's Principle
C) The law of universal gravitation
D) The principle of virtual work
  • 18. What term did Gottfried Leibniz use for the quantity of motion he identified as conserved?
A) Momentum
B) Kinetic energy
C) Potential energy
D) Vis viva
  • 19. Which scientist proposed and tested the hypothesis of the conservation of total energy using clay?
A) Antoine Lavoisier
B) Thomas Young
C) Daniel Bernoulli
D) Émilie du Châtelet
  • 20. Who first used the term 'energy' in its modern sense in 1807?
A) Gottfried Leibniz
B) Karl Friedrich Mohr
C) Thomas Young
D) Isaac Newton
  • 21. According to Karl Friedrich Mohr, how many agents are in the physical world?
A) Five
B) Fifty-four
C) Infinite
D) One
  • 22. What phenomenon involves mass being converted into energy in atomic nuclei?
A) Hawking radiation
B) Mass defect
C) Chemical combustion
D) Thermal expansion
  • 23. What is the classical formula for kinetic energy?
A) Ek=mc2
B) Ek=1/2mv
C) Ek=1/2mv2
D) Ek=mv2
  • 24. What theory did the mechanical equivalent of heat help replace?
A) Theory of relativity
B) Phlogiston theory
C) Caloric theory
D) Atomic theory
  • 25. Who postulated the corpusculo-kinetic theory of heat in the mid-eighteenth century?
A) James Prescott Joule
B) William Rankine
C) Count Rumford
D) Mikhail Lomonosov
  • 26. What activity did Count Rumford use to measure frictional heat in 1798?
A) Hammering steel
B) Boring cannons
C) Compressing gas
D) Rubbing wooden sticks
  • 27. Who first stated the mechanical equivalence principle in its modern form in 1842?
A) Julius Robert von Mayer
B) William Robert Grove
C) Hermann von Helmholtz
D) Peter Guthrie Tait
  • 28. Which engineer carried out work similar to Joule's in Denmark between 1840 and 1843?
A) Sadi Carnot
B) Émile Clapeyron
C) William Rankine
D) Ludwig A. Colding
  • 29. Who published 'The Correlation of Physical Forces' in 1846?
A) Hermann von Helmholtz
B) William Robert Grove
C) Julius Robert von Mayer
D) James Prescott Joule
  • 30. Who published 'Über die Erhaltung der Kraft' (On the Conservation of Force) in 1847?
A) William Rankine
B) Hermann von Helmholtz
C) William Robert Grove
D) Peter Guthrie Tait
  • 31. Who first used the specific phrase 'law of the conservation of energy' in 1850?
A) James Prescott Joule
B) Isaac Newton
C) Hermann von Helmholtz
D) William Rankine
  • 32. Which scientist claimed in 1877 that the conservation principle originated with Sir Isaac Newton?
A) Mikhail Lomonosov
B) Peter Guthrie Tait
C) Count Rumford
D) William Rankine
  • 33. What does the conservation of energy imply about heat and mechanical work?
A) They are interchangeable
B) Work cannot become heat
C) Heat cannot become work
D) They are mutually exclusive
  • 34. What was the main flaw in Count Rumford's measurements of heat?
A) They were falsified
B) They were not documented
C) They were imprecise
D) They were too complex
  • 35. Why did patients in a hotter climate consume less energy according to Mayer?
A) The oxygen was denser
B) They were eating less food
C) The humidity was lower
D) They were maintaining their body temperature less aggressively
  • 36. Which theory revealed that rest mass corresponds to an equivalent amount of rest energy?
A) Quantum mechanics
B) Classical mechanics
C) Thermodynamics
D) Special relativity
  • 37. When rest mass is converted into non-material forms of energy, what happens to the rest mass?
A) It is not conserved
B) It remains constant
C) It increases
D) It disappears completely
  • 38. What is produced when an electron and a positron perish together?
A) Neutrons
B) More electrons
C) Protons
D) Photons
  • 39. Do photons possess rest mass?
A) Yes
B) Only in isolated systems
C) Only at high speeds
D) No
  • 40. In an isolated system, what happens to the total mass when an electron and positron convert to photons?
A) It decreases
B) It increases
C) It fluctuates
D) It does not change
  • 41. In the 18th century, how were the laws of conservation of energy and mass perceived?
A) As a single unified law
B) As two seemingly-distinct laws
C) As nonexistent laws
D) As mathematical theories only
  • 42. What discovery in 1911 appeared to contradict the conservation of energy in beta decay?
A) Beta decay does not emit electrons.
B) Electrons in beta decay have a continuous spectrum.
C) Electrons in beta decay have a discrete spectrum.
D) The energy of beta decay is always constant.
  • 43. Who proposed the correct description of beta decay in 1933?
A) Isaac Newton
B) Albert Einstein
C) James Clerk Maxwell
D) Enrico Fermi
  • 44. According to Fermi, what particle carries away the missing energy in beta decay?
A) Antineutrino
B) Photon
C) Proton
D) Neutron
  • 45. For a simple compressible system, what is the work done expressed as?
A) PdV
B) μdN
C) TdS
D) dQ/dT
  • 46. In a quasi-static, reversible process, what is the heat transfer represented as?
A) TdS
B) dU + dW
C) μ dN
D) PdV
  • 47. What does μi represent in the fundamental thermodynamic relation?
A) Molar heat capacity
B) Mechanical pressure
C) Mass density
D) Chemical potential
  • 48. What is the definition of Gibbs free energy (G)?
A) U + PV
B) H - TS
C) H + TS
D) U - TS
  • 49. Why is dS ≠ δQ/T in an open system?
A) Because matter carries its own entropy
B) Because work is zero
C) Because internal energy is not conserved
D) Because temperature is not defined
  • 50. Who developed the theorem that explains the conservation of energy mathematically?
A) Isaac Newton
B) Albert Einstein
C) James Clerk Maxwell
D) Emmy Noether
  • 51. In what year was Noether's theorem first published?
A) 1918
B) 1905
C) 1920
D) 1915
  • 52. What specific symmetry leads to the conservation of energy?
A) Rotational symmetry
B) Space translation symmetry
C) Time invariance
D) Gauge symmetry
  • 53. How can the philosophical implication of energy conservation be stated?
A) Time is an absolute constant
B) Energy is always increasing
C) Nothing depends on time per se
D) Matter depends on space per se
  • 54. In what type of space-time is energy conservation mentioned for finite systems?
A) Flat space-time
B) Four-dimensional Hilbert space
C) Curved space-time
D) Expanding space
  • 55. When was Noether's theorem developed?
A) 1918
B) 1912
C) 1915
D) 1922
  • 56. In special relativity, energy is proposed to be a component of what mathematical structure?
A) Energy-momentum 4-vector
B) Riemann curvature tensor
C) Minkowski scalar field
D) Stress-energy pseudotensor
  • 57. Which metric governs the universe but does not satisfy the constraints for well-defined energy conservation?
A) Kerr-Newman
B) Schwarzschild
C) Friedmann-Lemaître-Robertson-Walker
D) Minkowski
  • 58. Who theorized that the net energy of the universe is zero when accounting for gravitational potential energy?
A) Henri Poincaré
B) John Baez
C) Alan Guth
D) Albert Einstein
  • 59. In special relativity, how many components of the energy-momentum 4-vector are separately conserved?
A) One
B) Three
C) Four
D) Two
  • 60. What is the name of the self-adjoint operator that describes the energy of a quantum system?
A) Hilbertian
B) Noetherian
C) Lagrangian
D) Hamiltonian
  • 61. Which scientist argued that denying the conservation of energy would cause the modern world's technology to lie in ruins?
A) Milton A. Rothman
B) Professor Eric Ash
C) Albert Einstein
D) Max Planck
  • 62. What device is mentioned as an example of a perpetual motion machine that cannot work due to the conservation of energy?
A) Tokamak
B) Synchrotron
C) Cyclotron
D) Orbo
  • 63. In the context of general relativity, what metric approximates the Earth such that energy is exactly conserved?
A) Minkowski metric
B) Lorentzian metric
C) Schwarzschild metric
D) Euclidean metric
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