an electron has a circular path of radius 0.01m in a perpendicular magnetic induction 10 to the power of negative 3 end exponent T.the speed of electron is nearly:

Asked by araima2001 | 10th Dec, 2015, 09:38: PM

Expert Answer:

begin mathsize 12px style Given colon radius space of space circular space path comma space straight r space equals space 0.01 space straight m space equals space 10 to the power of negative 2 end exponent space straight m mangnetic space induction comma space straight B space equals space 10 to the power of negative 3 end exponent space straight T charge space on space electron comma space straight q space equals space 1.6 space cross times space 10 to the power of negative 16 end exponent space straight C mass space of space electron comma space straight m space equals space 9.1 space cross times space 10 to the power of negative 31 end exponent space kg speed space of space electron comma space straight v space equals space ? space An space electron space is space moving space in space straight a space circular space path comma space the space provided space necessary space centripetal space force space gets space balanced space by space magnetic space force. Bqv space equals space mv squared over straight r straight v space equals space Bqr over straight m space equals space fraction numerator 10 to the power of negative 3 end exponent space cross times space 1.6 space cross times space 10 to the power of negative 16 end exponent space cross times space space 10 to the power of negative 2 end exponent space over denominator 9.1 space cross times space 10 to the power of negative 31 end exponent end fraction space equals space 0.176 space cross times space 10 to the power of 7 space straight m divided by straight s straight v equals space 1.76 space cross times space 10 to the power of 6 space straight m divided by straight s Therefore comma space the space speed space of space electron space is space space 1.76 space cross times space 10 to the power of 6 space straight m divided by straight s Hence comma space correct space option space is space left parenthesis straight B right parenthesis end style

Answered by Priyanka Kumbhar | 11th Dec, 2015, 09:23: AM