QUIZ- I : CLASSICAL MECHANICS AND RELATIVITY

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QUIZ- I : CLASSICAL MECHANICS AND RELATIVITY


QUIZ- I : CLASSICAL MECHANICS AND RELATIVITYVersión en línea PP261CC2 por Priya Dharshini 1 Which branch of mechanics deals with the motion of macroscopic objects under the action of forces? Choose one or more answers a Quantum Mechanics b Statistical Mechanics c Classical Mechanics d Relativistic Mechanics 2 Which of the following is conserved when the net external force acting on a particle is zero? Choose one or more answers a Kinetic Energy b Linear Momentum c Angular Velocity d Potential Energy 3 The law of conservation of angular momentum is valid when a External force is zero b External torque is zero c Velocity is constant d Potential energy is constant 4 A system of particles conserves its total linear momentum if Choose one or more answers a Internal forces vanish b External resultant force is zero c Kinetic energy is constant d Mass is constant 5 Which of the following is an example of a non-holonomic constraint? Choose one or more answers a Particle moving on a sphere b Simple pendulum c Rolling wheel without slipping d Motion on a circle 6 Generalized coordinates are used to a A) Increase the number of variables b Reduce the number of independent variables c Eliminate forces d reduce speed 7 Configuration space represents a Velocity coordinates b Momentum coordinates c All possible positions of a system d Energy states only 8 A constraint that can be expressed as an equation involving coordinates and time is called a Non-holonomic constraint b Conservative constraint c Holonomic constraint d Rheonomous constraint 9 The principle of virtual work states that for a system in equilibrium Choose one or more answers a Total work is maximum b Total virtual work is zero c Potential energy is zero d Kinetic energy is constant 10 D'Alembert's principle converts a a Static problem into a dynamic problem b Dynamic problem into an equivalent static problem c Conservative system into a non-conservative system d Holonomic system into a non-holonomic system 11 The Lagrangian of a conservative system is given by a A) T+VT + VT+V b B) T−V c C) V−TV - TV−T d D) TVTVTV 12 Lagrange's equations of motion are obtained using Choose one or more answers a Newton's second law b B) Principle of virtual work c C) D'Alembert's principle d D) Bernoulli's principle 13 Which of the following is an application of Lagrange's equation? a A) Bernoulli's equation b B) Atwood's machine c C) Boyle's law d D) Snell's law 14 The Lagrangian for a charged particle moving in an electromagnetic field depends on Choose one or more answers a A) Scalar and vector potentials b B) Pressure and density c C) Magnetic permeability only d D) Electric charge only 15 Hamilton's principle is also known as Choose one or more answers a A) Principle of Least Action b B) Principle of Superposition c C) Principle of Equipartition d D) Principle of Relativity 16 Phase space is defined by Choose one or more answers a A) Position coordinates only b B) Momentum coordinates only c C) Position and momentum coordinates d D) Velocity coordinates only 17 A generalized coordinate whose corresponding generalized momentum remains constant is called a Choose one or more answers a A) Dependent coordinate b B) Cyclic coordinate c C) Virtual coordinate d D) Cartesian coordinate 18 Jacobi's Integral represents Choose one or more answers a A) Conservation of charge b B) Conservation of energy c C) Conservation of momentum d D) Conservation of angular momentum 19 Which of the following transformations preserves the form of Hamilton's canonical equations? ________________________________________ a A) Lorentz transformation b B) Galilean transformation c C) Canonical transformation d D) Fourier transformation 20 . In the presence of non-conservative forces, Lagrange's equation includes a A) Potential energy only b B) Generalized force c C) Gravitational force only d D) Angular momentum only

QUIZ- I : CLASSICAL MECHANICS AND RELATIVITY

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QUIZ- I : CLASSICAL MECHANICS AND RELATIVITYVersión en línea

por Priya Dharshini

Which branch of mechanics deals with the motion of macroscopic objects under the action of forces?

Which of the following is conserved when the net external force acting on a particle is zero?

The law of conservation of angular momentum is valid when

A system of particles conserves its total linear momentum if

Which of the following is an example of a non-holonomic constraint?

Generalized coordinates are used to

Configuration space represents

A constraint that can be expressed as an equation involving coordinates and time is called

The principle of virtual work states that for a system in equilibrium

D'Alembert's principle converts a

The Lagrangian of a conservative system is given by

Lagrange's equations of motion are obtained using

Which of the following is an application of Lagrange's equation?

The Lagrangian for a charged particle moving in an electromagnetic field depends on

Hamilton's principle is also known as

Phase space is defined by

A generalized coordinate whose corresponding generalized momentum remains constant is called a

Jacobi's Integral represents

Which of the following transformations preserves the form of Hamilton's canonical equations? ________________________________________

. In the presence of non-conservative forces, Lagrange's equation includes