MHT CET202013 Oct 2020Evening ShiftPhysicsMagnetic Effects of CurrentActual
A cyclotron's oscillator frequency is 'n' and radius of the dees is 'r'. The operating magnetic field (B) for accelerating protons of charge ' q ^ and kinetic energy of protons produced by the accelerator is respectively ('m' and ' v ' be the mass and velocity of proton)
Options
- A2 n m q , q v B r 2
- Bnm q , qvBr 2
- C2 n m q , q v B r
- D4 nm q , qvBr 2
Correct answer
A. 2 n m q , q v B r 2
Step-by-step solution
Cyclotron frequency n = qB 2 m B = 2 nm q Also, mv ² r = q vB mv ²= q vB r K.E. = 1 2 mv ²= qvBr 2 K . E .= 1 2 mv ²= qvBr 2