1.

An electron orbiting around a nucleus has angular momentum L. The magnetic field produced by the electron at the centre of the orbit can be expressed as :A. `B = (mu_(0) e//8pi mr^(3))L`B. `B =(mu_(0)e//4 pi mr^(3))L`C. `B = (mu_(0) e//pi mr^(3))L`D. `B =(e//4 pi epsilon_(0) mr^(3))L`

Answer» Correct Answer - B
`(B)/(L)=(mu_(0))/(4 pi)((eV)/(r^(2)))/(mVr)L=m Vr`
`(B)/(L)=(mu_(0))/(4pi)(eV)/(e^(2))xx(1)/(mVr)`
`rArr B =(mu_(0))/(4 pi)(L)/(r)=(mu_(0)eL)/(4 pimr^(3))`.


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