MHT CET202410 May 2024Morning ShiftPhysicsMagnetic Effects of CurrentActual
Electron of mass ' m ' and charge ' q ' is travelling with speed ' v ' along a circular path of radius ' R ' at right angles to a uniform magnetic field of intensity ' B '. If the speed of the electron is halved and the magnetic field is doubled, the resulting path would have radius
Options
- AR 2
- BR 4
- C2 R
- D4 R
Correct answer
B. R 4
Step-by-step solution
From cyclotron motion and uniform circular motion, i.e., q v ~B 90^ = mv ^2 R R = mv qB ...(i) Given v ^ = v 2 and B ^ =2 ~B aligned & R^ = mv ^ qB ^ = m v 2 q 2 ~B = 1 4 mv qB & R^ = 1 4 R aligned ...[From(i)]