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If a charged particle of mass m and charge q is projected across uniform magnetic field B with a velocity V, it experience magnitudes force given by:

Correct answer: A. Option A

  • A. Option A
  • B. Option B
  • C. Option C
  • D. Option D

Explanation

When a charged particle with mass m and charge q moves through a uniform magnetic field B with a velocity V, it experiences a force called the magnetic force. The magnitude of this force (F) is given by the formula F = q(V * B), where q is the charge of the particle, V is its velocity, and B is the magnitude of the magnetic field. This formula helps us calculate the strength of the force acting on the charged particle. It's important to note that the force is perpendicular to both the velocity and the magnetic field. The right-hand rule is often used to determine the direction of the force.

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About Vectors and Equilibrium

Vectors have magnitude and direction, unlike scalars, and are combined by head-to-tail or parallelogram methods. Work covers rectangular components, equilibrium when the resultant force is zero, the scalar product for work and projections, and the vector product for torque and cross-product direction using the right-hand rule.

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