A particle of charge q is moving with velocity v in the presence of crossed Electric field E and Magnetic field B as shown. Write the condition under which the particle will continue moving along x- axis. How would the trajectory of the particle be affected if the electric field is switched off?

Explanation

Using the condition mvr `=(nh)/(2pi) `
For H-atom `n=I, V=(h)/(2pimr)`
Time period T `=(2pir)/(v)`
`T=(4pi^(2)mr^(2))/(h), I=Q/T=(eh)/(4pi^(2) mr^(2))`
M=IA
`M=(eh)/(4pi^(2) mr^(2)) (pir^(2))`
`M=(eh)/(4pi m)`