1.

In a hydrogen atom, the electron revolves round the nucleus 6.8 xx 10^(15) times per second in an orbit of radius 0.53Å. What is equivalent magnetic moment ? (Given that e=1.6 xx 10^(-19)C).

Answer»

Solution :The electron revolving in an ORBIT is EQUIVALENT to a current loop. The magnitudeto current is given by ,
`I =(e)/(T) = e xx (1)/(T) = ef= (1.6 xx 10^(-19)) (6.8 xx 10^(15))`
`=1.1 xx 10^(-3) A `
Magnetic MOMENT of equivalent current loop is M= nIA .
Here `n=1 ,I = 1.1 xx 10^(-3) A` and
AREA ,`A = pi ( 0.53 xx 10^(-10))^(2)`
`:. M = (1)(1.1 xx 10^(-3)) [ pi (0.53 xx 10^(-10))^(2)]`
`=9.7 xx 10^(-24) Am^(2)`


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