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JEE Advanced Unit 3A: Work and Kinetic Energy Theorem — practice questions

Explore 47 free Unit 3A: Work and Kinetic Energy Theorem questions in JEE Advanced Physics. Open each question or exercise to read its content, reference answers and available explanation.

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Unit 3A: Work and Kinetic Energy Theorem questions and exercises with answers

Showing questions 1–30 of 47.

As per your syllabus, the magnitude of the VECTOR (cross) product A × B is which?Read the answer and worked solution →As per your syllabus, the vector product is which property algebraically?Read the answer and worked solution →As per your syllabus, the cross products î × ĵ, ĵ × k̂, k̂ × î equal which respectively?Read the answer and worked solution →As per your syllabus, eqn 6.19, the linear velocity of a particle of a rigid body rotating with angular velocity ω at position r is which?Read the answer and worked solution →As per your syllabus, the TORQUE (moment of force) on a particle at position r due to force F is which vector product?Read the answer and worked solution →As per your syllabus, the SI unit of torque is which?Read the answer and worked solution →As per your syllabus, eqn 6.25a, the ANGULAR MOMENTUM of a particle of momentum p at position r is which?Read the answer and worked solution →As per your syllabus, the angular momentum L of a particle is zero when which of the following holds?Read the answer and worked solution →As per your syllabus, the cross product of two PARALLEL vectors is which?Read the answer and worked solution →As per your syllabus, the dimensions of torque (and angular momentum × time) are which?Read the answer and worked solution →As per your syllabus, eqn 6.34, the moment of inertia of a system of particles about an axis is which?Read the answer and worked solution →As per your syllabus, eqn 6.35, the ROTATIONAL kinetic energy of a body about a fixed axis is which?Read the answer and worked solution →As per your syllabus, if I = M k², then k represents which?Read the answer and worked solution →As per your syllabus, the moment of inertia of a thin RING of mass M and radius R about an axis ⊥ to its plane through its centre is which?Read the answer and worked solution →As per your syllabus, the moment of inertia of a uniform DISC of mass M and radius R about its central axis (⊥ to plane) is which?Read the answer and worked solution →As per your syllabus, the moment of inertia of a thin ROD of mass M and length L about an axis ⊥ to it through its midpoint is which?Read the answer and worked solution →As per your syllabus, the moment of inertia of a solid SPHERE of mass M and radius R about its diameter is which?Read the answer and worked solution →As per your syllabus, the moment of inertia of a SOLID cylinder of mass M and radius R about its own axis is which?Read the answer and worked solution →As per your syllabus, the dimensions and SI unit of moment of inertia are which?Read the answer and worked solution →As per your syllabus, the rotational kinematic equation analogous to v = v₀ + at is which?Read the answer and worked solution →As per your syllabus, the rotational analogue of v² = v₀² + 2 a x is which?Read the answer and worked solution →As per your syllabus, a wheel spins up from 1200 rpm to 3120 rpm in 16 s. The angular acceleration is approximately which?Read the answer and worked solution →As per your syllabus, eqn 6.41, the rotational analogue of Newton's second law (F = m a) for rotation about a fixed axis is which?Read the answer and worked solution →As per your syllabus, the rotational analogue of LINEAR MOMENTUM p = M v is which?Read the answer and worked solution →As per your syllabus, the WORK done by a torque τ over angular displacement θ is which?Read the answer and worked solution →As per your syllabus, eqn 6.40, the POWER delivered by a torque is which?Read the answer and worked solution →As per your syllabus, a rigid body is in MECHANICAL equilibrium when which conditions hold?Read the answer and worked solution →As per your syllabus, the CENTRE OF GRAVITY of an extended body in a UNIFORM gravitational field coincides with which point?Read the answer and worked solution →As per your syllabus, a flywheel of M=20 kg, R=0.2 m has I = MR²/2 = which?Read the answer and worked solution →As per your syllabus, the angular acceleration of the same flywheel under a 25 N pull (τ = FR = 5 N m) is which?Read the answer and worked solution →

Worked practice questions

As per your syllabus, the magnitude of the VECTOR (cross) product A × B is which?

  1. A B sin θ
  2. A B tan θ
  3. A B (no factor)
  4. A B cos θ
Show answer and solution

Correct answer: A. A B sin θ

Your syllabus: |A × B| = A B sin θ. Direction by right-hand rule, perpendicular to both A and B.

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As per your syllabus, the vector product is which property algebraically?

  1. Anticommutative (A×B = −B×A)
  2. Commutative (A×B = B×A)
  3. Distributive but symmetric
  4. Distributive but commutative
Show answer and solution

Correct answer: A. Anticommutative (A×B = −B×A)

Your syllabus: A × B = −B × A. Distributive but not commutative.

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As per your syllabus, the cross products î × ĵ, ĵ × k̂, k̂ × î equal which respectively?

  1. −k̂, −î, −ĵ
  2. ĵ, k̂, î
  3. k̂, î, ĵ
  4. 0, 0, 0
Show answer and solution

Correct answer: C. k̂, î, ĵ

Your syllabus: right-handed orthonormal triad. **Cyclic:** i×j=k, j×k=i, k×i=j. î×î=0 etc.

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