MHT CET202310 May 2023Morning 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
- A4 R
- B2 R
- CR 2
- DR 4
Correct answer
D. R 4
Step-by-step solution
From cyclotron motion and uniform circular motion, i.e., q v vB 90^ = m v^2 R R = mv qB 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