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General relativity - Quiz
Contributed by: Bryan
  • 1. What is the result of combining Newtonian gravity's geometric description with special relativity?
A) The total abandonment of Euclidean geometry
B) A heuristic derivation of general relativity
C) A unified theory of electromagnetism
D) A disproof of Newton's second law
  • 2. According to Newton's second law, what is the net force equal to?
A) Position squared
B) Gravitational constant divided by distance
C) Velocity multiplied by time
D) Inertial mass multiplied by acceleration
  • 3. In classical mechanics, what are the paths of objects in free motion called?
A) Geodesics
B) Random paths
C) Parabolic curves
D) Hyperbolic trajectories
  • 4. What is another name for the universality of free fall?
A) The weak equivalence principle
B) The inertial law of motion
C) The strong gravitation principle
D) The Newton-Cartan theory
  • 5. The Eötvös experiment verified the universal equality of what two properties?
A) Velocity and acceleration
B) Inertial and passive-gravitational mass
C) Space and time
D) Force and energy
  • 6. What does Einstein's elevator experiment demonstrate?
A) The curvature of Euclidean space
B) The variation of mass in a vacuum
C) The existence of a stationary frame
D) The indistinguishability between gravity and acceleration
  • 7. What implies that there is no observable distinction between inertial motion and motion under gravity?
A) The rigidity of Euclidean space
B) The friction of external forces
C) The integration of Newtonian connections
D) The universality of free fall
  • 8. In the geometric construction of Newtonian gravity, what happens to space geometry?
A) It turns into four-dimensional spacetime
B) It remains ordinary Euclidean geometry
C) It becomes non-existent
D) It becomes curved
  • 9. Why is spacetime considered curved in the Newton-Cartan theory?
A) The gravitational potential is zero
B) Space itself is non-Euclidean
C) Mass is distributed uniformly
D) The Newtonian connection is not integrable
  • 10. In the geometric description of gravity, what is related to the derivative of the connection?
A) Electrostatic forces
B) The speed of light
C) Inertial mass
D) Tidal effects
  • 11. What is the Newton–Cartan theory?
A) A theory of quantum mechanics
B) A geometric formulation of Newtonian gravity
C) A relativistic theory of electromagnetism
D) The study of friction in classical mechanics
  • 12. In what year was Einstein's theory of general relativity published?
A) 1915
B) 1916
C) 1922
D) 1905
  • 13. Who summarized general relativity as: "Space-time tells matter how to move; matter tells space-time how to curve."
A) John Archibald Wheeler
B) Isaac Newton
C) Henri Poincaré
D) Albert Einstein
  • 14. The Einstein field equations are what type of mathematical equations?
A) Second-order partial differential equations
B) Linear integral equations
C) Third-order ordinary differential equations
D) First-order algebraic equations
  • 15. What is the primary obstacle to a unified theory of physics involving general relativity?
A) The existence of black holes
B) Lack of experimental data
C) The curvature of spacetime
D) Reconciliation with quantum physics
  • 16. Which collaboration directly observed gravitational waves?
A) The Hubble Institute
B) NASA
C) LIGO
D) The Prussian Academy
  • 17. Who found the first non-trivial exact solution to the Einstein field equations?
A) Marcel Grossmann
B) Karl Schwarzschild
C) Georges Lemaître
D) Alexander Friedmann
  • 18. What did Einstein later declare to be the "biggest blunder of his life"?
A) The cosmological constant
B) The theory of general relativity
C) The Schwarzschild metric
D) The rejection of quantum mechanics
  • 19. Which planet's perihelion advance provided early confirmation of general relativity?
A) Mercury
B) Venus
C) Mars
D) Jupiter
  • 20. Which mathematician pointed out the utility of Riemannian geometry to Einstein?
A) Subrahmanyan Chandrasekhar
B) Marcel Grossmann
C) Karl Schwarzschild
D) Henri Poincaré
  • 21. According to the text, what are black holes?
A) The centers of expanding galaxies
B) Formations made of pure radiation
C) Regions of infinite density and zero time
D) The end-state for massive stars
  • 22. In what year did Einstein begin his eight-year search for a relativistic theory of gravity?
A) 1913
B) 1907
C) 1905
D) 1919
  • 23. What is the Reissner–Nordström solution associated with?
A) Gravitational lensing
B) Electrically charged black holes
C) The expansion of the universe
D) Rotating stellar masses
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