The ratio of magnetic force to electric force on a charged particle ge...
When a charged particle is undeflected in a field, the magnitude of the magnetic force and electric force acting on the particle is the same, hence the ratio is 1.
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The ratio of magnetic force to electric force on a charged particle ge...
Explanation:
Force on a charged particle in a magnetic field:
- When a charged particle moves in a magnetic field, it experiences a magnetic force given by the formula Fm = qvB, where q is the charge of the particle, v is its velocity, and B is the magnetic field strength.
Force on a charged particle in an electric field:
- When a charged particle moves in an electric field, it experiences an electric force given by the formula Fe = qE, where E is the electric field strength.
Undeflected particle:
- When a charged particle moves in both electric and magnetic fields and remains undeflected, the magnetic force must be equal and opposite to the electric force.
- This means that Fm = Fe, which implies qvB = qE.
- By canceling out the charge q on both sides, we get vB = E.
Ratio of magnetic force to electric force:
- The ratio of the magnetic force to the electric force on a charged particle getting undeflected in a field is given by (Fm/Fe) = (qvB/qE) = vB/E.
- Since we already found that vB = E for an undeflected particle, the ratio simplifies to 1.
Therefore, the correct answer is option 'A' which is 1.