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Action (physics): Quiz

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Question 1: An earlier, less informative action principle is Maupertuis' principle, which is sometimes called by its (less correct) historical name, the ________.
Action (physics)Principle of least actionWilliam Rowan HamiltonClassical mechanics

Question 2: ________ (and, possibly, Leibniz) defined action for a material particle as the integral of the particle's speed along its path through space.
Joseph Louis LagrangeIsaac NewtonPierre-Simon LaplaceLeonhard Euler

Question 3: Hamilton's principal function is defined by the Hamilton–Jacobi equations (HJE), another alternative formulation of ________.
EnergyForceClassical mechanicsPhysics

Question 4: This principle results in the equations of motion in ________.
Lagrangian mechanicsClassical mechanicsForceHamiltonian mechanics

Question 5: Physical laws are most often expressed as ________, which specify how a physical variable changes from its present value with infinitesimally small changes in time, position, or some other variable.
Differential equationMathematicsDynamical systems theoryCalculus

Question 6: Hamilton's principle has also been extended to ________ and quantum field theory.
Schrödinger equationWave–particle dualityIntroduction to quantum mechanicsQuantum mechanics

Question 7: ________, Johann Bernoulli and Pierre Louis Maupertuis defined the action for light as the integral of its speed (or inverse speed) along its path length.
Immanuel KantLudwig WittgensteinPlatoGottfried Leibniz

Question 8: When relativistic effects are significant, the action of a point particle of mass m traveling a world line C parameterized by the ________ τ is
SpacetimeCoordinate timeProper timeTime dilation

Question 9: It also provides a basis for the development of ________.
String theorySuperstring theoryD-braneM-theory

Question 10: It applies not only to the ________ of a single particle, but also to classical fields such as the electromagnetic and gravitational fields.
EnergyForceClassical mechanicsInertia







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