In the hydrogen atom, an electron makes a transition from $$n =2$$ to $$n=1.$$ The magnetic field produced by the circulating electron at the nucleus -
A.
decreases 16 times
B.
increases 4 times
C.
decreases 4 times
D.
increases 32 times
Answer :
increases 32 times
Solution :
$$\eqalign{
& \because B = \frac{{{\mu _0}I}}{{2r}}\,\,{\text{and}}\,\,I = \frac{e}{T} \cr
& B = \frac{{{\mu _0}e}}{{2rT}}\,\,\left[ {r \propto {n^2},T \propto {n^5}} \right]; \cr
& B \propto \frac{1}{{{n^5}}} \cr} $$
Releted MCQ Question on Modern Physics >> Atoms And Nuclei
Releted Question 1
If elements with principal quantum number $$n > 4$$ were not allowed in nature, the number of possible elements would be
An energy of $$24.6\,eV$$ is required to remove one of the electrons from a neutral helium atom. The energy in $$\left( {eV} \right)$$ required to remove both the electrons from a neutral helium atom is
As per Bohr model, the minimum energy (in $$eV$$ ) required to remove an electron from the ground state of doubly ionized $$Li$$ atom $$\left( {Z = 3} \right)$$ is