JEE Mains Kinematics and Electric Fields

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Questions and Answers

What is the dimension of velocity?

[M^0L^1T^{-1}]

A proton is placed in a uniform electric field of intensity 10 N/C towards east. What will be the direction of force on the proton?

Towards east

A body starts from rest and moves with an acceleration of 2 m/s². If it travels a distance of 18 meters, what is its final velocity?

12 m/s

A point charge q is placed at a distance r from an electric dipole. If the electric field at the point is E, what is the direction of the electric field?

<p>Along the line joining the point and the center of the dipole</p> Signup and view all the answers

A particle moves with a velocity of 4 m/s towards east. It is suddenly struck by a force of 2 N towards west. What is the resulting acceleration of the particle?

<p>2 m/s²</p> Signup and view all the answers

Study Notes

Kinematics 1D

  • Displacement: Minimum distance between initial and final position of an object, can be positive, negative, or zero.
  • Distance: Total path length covered by an object, always positive.
  • Speed: Rate of change of distance, scalar quantity, units: m/s.
  • Velocity: Rate of change of displacement, vector quantity, units: m/s.
  • Acceleration: Rate of change of velocity, vector quantity, units: m/s².
  • Motion in a straight line: Can be uniform or non-uniform, described by equations of motion.
  • Equations of motion:
    • v = u + at
    • s = ut + (1/2)at²
    • v² = u² + 2as
    • where u: initial velocity, v: final velocity, a: acceleration, t: time, s: displacement

Electric Fields and Charges

  • Coulomb's Law: Force between two point charges, proportional to product of charges and inversely proportional to square of distance between them.
  • Electric Field: Force per unit charge, units: N/C.
  • Electric field lines: Imaginary lines that emerge from positive charge and enter into negative charge, never intersect.
  • Electric field intensity: Force experienced by a unit positive charge, units: N/C.
  • Electric flux: Product of electric field intensity and area, units: Nm²/C.
  • Gauss's Law: Total electric flux linked with a closed surface is proportional to charge enclosed within the surface.
  • Types of charges: Like charges (repel), unlike charges (attract), neutral (no force).
  • Conductors and insulators: Conductors allow free movement of charges, insulators do not.

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