alleryA cyclotron of magnetic field B accelerates positive charges of mass m, charge q. The cyclotron frequency is:
Af = q² B / m
Bf = m / (q B)
Cf = q B / m
Df = q B / (2π m)
Answer & Solution
Correct answer: D. f = q B / (2π m)
1. Period T = 2π m / (q B); frequency f = 1/T = q B / (2π m).
2. Crucially f is INDEPENDENT of velocity v — that's why the cyclotron works.
3. AC voltage between the dees is tuned to this frequency for resonance.
_Source: syllabus Physics Ch 4 §4.3 Cyclotron_
Keep practising Electromagnetism
Browse all Electromagnetism questions for NEET UG, or explore more Physics topics.
Related questions
For a charge distribution with volume density ρ, the total charge Q equalsThe electric flux through a closed surface enclosing a charge of +5 μC is (ε₀ = 8.85 × 10⁻The electric field on the axial line of a short electric dipole at distance r isAn electric dipole consists of two equal and opposite point charges ±q separated by distanGauss's law states that the total electric flux through a closed surface equalsThe electric field just outside a uniformly charged infinite plane with surface charge denThe electric field of an infinite line of charge with linear charge density λ at perpendicThe electric field at distance r from an isolated point charge q is