In the Bohr model of the hydrogen atom, the electron circuulates around the nucleus in a path of radius `5xx10^-11m` at a frequency of `6.8xx10^15Hz`. a. What value of magnetic field is set up at the centre of the orbit? b. What is the equivalent magnetic dipole moment?
Text Solution
Verified by Experts
a. An electron moving around the nucleus is equivalent to a current, Magnetic field at the centre, `B=(mu_0i)/(2R)=(mu_0qf)/(2R)` Substituting the values, we have `B=((4pixx10^-7)(1.6xx10^-19)(6.8xx10^15))/(2xx5.1xx10^-11)` `=13.4T` b. The current carrying circular loop is equaivalent to a magnetic dipole with magnetic dipole moment, `M=NiA=(NqfpiR^2)` Substituting the values, we have `M=(1)(1.6xx10^19)(6.8xx10^15)(3.14)(5.1xx10^-11)^2` `=8.9xx10^-24A-m^2`
Topper's Solved these Questions
MAGNETICS
DC PANDEY|Exercise Exercise|160 Videos
MAGNETICS
DC PANDEY|Exercise INTRODUCTORY EXERCISE|1 Videos
MAGNETIC FIELD AND FORCES
DC PANDEY|Exercise Medical entrance s gallery|59 Videos
MAGNETISM AND MATTER
DC PANDEY|Exercise Medical gallery|1 Videos
Similar Questions
Explore conceptually related problems
In Bohr model of hydrogen atom , the electron revolves around the nucleus in a circular orbit of radius 5.1 xx 10^(-11)m at a frequency of 6.8 xx 10^(15) revolutions per second. Find the equivalent current at may point on the orbit of the electron
In a hydrogen atom, the electron revolves round the nucleus in a circular orbit of radius 0.5 Å at a frequency of 5xx10^(15) rev/second. What is the effective magnetic dipole moment?
In the Bohr's model of hy drogen atom, the electron moves around the nucleus in a circular orbit of radius 5xx10^(-11) m . Its time period is 1.5xx10^(-16)s . The current associated with the electron motion is:-
In the Bohr model of hydrogen atom, the electron is pictured to rotate in a circular orbit of radius 5xx 10^-11 m , at a speed 2.2 xx 10^6 m/ s. What is the current associated with electron motion?
In Bohr model of hydrogen atom, the electron revolves around the nucleus in a circular orbit of radius 5.0xx10^(-11) m with a speed 2.2 xx10^(6) ms^(-1) . Find the equivalnet current. (Electronic charege = 1.6 xx 10^(-19) coulomb)
In Bohr's model of H_(2) atom, the electrons move around the nucleus in a circular orbit of radius 5xx10^(-11) m. Its time period is 1.5xx10^(-16) s, the current associated with electron motion is
In an hydrogen atom, the electron revolves around the nucles in an orbit of radius 0.53 xx 10^(-10) m . Then the electrical potential produced by the nucleus at the position of the electron is
An electron is revolving in a circular path of radius 2xx10^(-10) m with a speed of 3xx10^(6) m/s. The magnetic field at the centre of circular path will be-
Imagine that an electron revolves around a circle of the radius 5.3xx10^(-11)m with a linear speed of 7.5xx10^4 ms^(-1) in a hydrogen atom. The magnetic field produced at the centre of the circle, due to the electron, is
