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PhysicsTopic Question Bank50+ Solved MCQsUpdated October 2026👁️ 3.8k Topic Views

Classical Mechanics Questions & Answers

Understand fundamental scientific laws, diagrams, and applied concepts in Classical Mechanics. Practice solved questions with clear scientific rationale and key definitions.

Relevant Exams:SSC CGLRRB Group D & NTPCNDA / CDSState PSCNEET

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Classical Mechanics — Key Concepts & Shortcuts

•Review basic scientific laws, standard SI units, and chemical/biological nomenclature.
•Understand everyday real-life applications and experimental setups related to Classical Mechanics.
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Practice Questions for Classical Mechanics

18+ Solved MCQs

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A particle of mass m moves in a one-dimensional potential V(x) = F0|x|, where F0 is a positive constant. Given the initial conditions x(0) = x0 > 0 and dx/dt(0) = 0, which one of the following statements is correct?

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Classical Mechanics Questions & Answers

Classical Mechanics — Key Concepts & Shortcuts

Practice Questions for Classical Mechanics

A particle of mass m moves in a one-dimensional potential V(x) = F0|x|, where F0 is a positive constant. Given the initial conditions x(0) = x0 > 0 and dx/dt(0) = 0, which one of the following statements is correct?

A particle of mass m carrying angular momentum l moves in a central potential V(r) = -k e-arr, where k and a are positive constants. If the particle undergoes stable circular motion, what is the equation determining its radius r0?

The Lagrangian of a particle of unit mass is given by L = 12(ẋ2 - x2 + 2xẋ). The Hamiltonian of this system is given by:

A particle moving in a central force field centered at r = 0 follows a trajectory given by r = e-αθ, where (r, θ) are the polar coordinates of the particle and α > 0 is a constant. The magnitude of the force is proportional to:

A particle of mass 1 kg, angular momentum L = √2 kg•m2/s and total energy E = 3 J is subjected to a central force field F⃗ = -kr⃗ where k = 2 kg/s2. Which of the following statements is true? [Note: The centers of all the circles in the options below are at the origin.]

A classical system has the following action: S = ∫ (q̇2 + α q q̇ + β q2 q̇) dt, where q is the generalized coordinate, and α and β are constants. Which of the following statements is true about the dynamics of the system?

Consider a system of two particles with Lagrangian L = 52ẋ2 + l2θ̇2 + 2lẋθ̇ cos(θ) + 2gl cos(θ), where x, θ are generalized coordinates, and g, l are positive constants. The non-zero frequency of the normal mode of the system for small oscillations (|θ| << 1) is:

Select the INCORRECT statement regarding Lagrangian and Hamiltonian mechanics:

Which of the following matrix expressions correctly represents the components of velocity (ẋ, ẏ) of a particle moving in the XY-plane in terms of its plane polar coordinates (r, θ)?

Two non-relativistic particles with masses m1 and m2 move with momenta p1 and p2, respectively, in an inertial frame S. In another inertial frame S', moving with a constant velocity relative to S, the same particles are observed to have momenta p'1 and p'2. Galilean invariance implies that:

In a one-dimensional Hamiltonian system with position q and momentum p, consider the canonical transformation (q, p) → (Q = 1/p, P = qp2), where Q and P are the new position and momentum, respectively. Which of the following choices represents a valid generating function F for this transformation?

Frequently Asked Questions on Classical Mechanics