Bohr Model of the Hydrogen Atom
PHXII12:ATOMS

356455 The electric current \(I\) created by the electron in the ground state of \(H\) atom using Bohr model in terms of Bohr radius \(\left(a_{0}\right)\) and velocity \(\left(v_{0}\right)\) of electron in first orbit is:

1 \(\dfrac{e v_{0}}{2 \pi a_{0}}\)
2 \(\dfrac{2 \pi a_{0}}{e v_{0}}\)
3 \(\dfrac{2 \pi a_{0}}{v_{0}}\)
4 \(\dfrac{v_{0}}{2 \pi a_{0}}\)
PHXII12:ATOMS

356456 Assertion :
Electrons in the atom are held due to coulomb forces.
Reason :
The atom is stable only because the centripetal force due to Coulomb's law is balanced by the centrifugal force.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356457 Assertion :
Bohr's atomic model cannot be used to explain multiple electron species
Reason :
It does not take inter-electronic interactions into account.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356458 According to Bohr's theory, the moment of momentum of an electron revolving in \(4^{\text {th }}\) orbit of hydrogen atom is

1 \(\dfrac{h}{2 \pi}\)
2 \(8 \dfrac{h}{\pi}\)
3 \(\dfrac{h}{\pi}\)
4 \(2 \dfrac{h}{\pi}\)
PHXII12:ATOMS

356459 In Bohr model of hydrogen atom, the force on the electron depends on the principal quantum number \({n}\) as

1 \({F \propto 1 / n^{3}}\)
2 \({F \propto 1 / n^{4}}\)
3 \({F \propto 1 / n^{5}}\)
4 does not depend on \({n}\)
PHXII12:ATOMS

356455 The electric current \(I\) created by the electron in the ground state of \(H\) atom using Bohr model in terms of Bohr radius \(\left(a_{0}\right)\) and velocity \(\left(v_{0}\right)\) of electron in first orbit is:

1 \(\dfrac{e v_{0}}{2 \pi a_{0}}\)
2 \(\dfrac{2 \pi a_{0}}{e v_{0}}\)
3 \(\dfrac{2 \pi a_{0}}{v_{0}}\)
4 \(\dfrac{v_{0}}{2 \pi a_{0}}\)
PHXII12:ATOMS

356456 Assertion :
Electrons in the atom are held due to coulomb forces.
Reason :
The atom is stable only because the centripetal force due to Coulomb's law is balanced by the centrifugal force.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356457 Assertion :
Bohr's atomic model cannot be used to explain multiple electron species
Reason :
It does not take inter-electronic interactions into account.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356458 According to Bohr's theory, the moment of momentum of an electron revolving in \(4^{\text {th }}\) orbit of hydrogen atom is

1 \(\dfrac{h}{2 \pi}\)
2 \(8 \dfrac{h}{\pi}\)
3 \(\dfrac{h}{\pi}\)
4 \(2 \dfrac{h}{\pi}\)
PHXII12:ATOMS

356459 In Bohr model of hydrogen atom, the force on the electron depends on the principal quantum number \({n}\) as

1 \({F \propto 1 / n^{3}}\)
2 \({F \propto 1 / n^{4}}\)
3 \({F \propto 1 / n^{5}}\)
4 does not depend on \({n}\)
PHXII12:ATOMS

356455 The electric current \(I\) created by the electron in the ground state of \(H\) atom using Bohr model in terms of Bohr radius \(\left(a_{0}\right)\) and velocity \(\left(v_{0}\right)\) of electron in first orbit is:

1 \(\dfrac{e v_{0}}{2 \pi a_{0}}\)
2 \(\dfrac{2 \pi a_{0}}{e v_{0}}\)
3 \(\dfrac{2 \pi a_{0}}{v_{0}}\)
4 \(\dfrac{v_{0}}{2 \pi a_{0}}\)
PHXII12:ATOMS

356456 Assertion :
Electrons in the atom are held due to coulomb forces.
Reason :
The atom is stable only because the centripetal force due to Coulomb's law is balanced by the centrifugal force.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356457 Assertion :
Bohr's atomic model cannot be used to explain multiple electron species
Reason :
It does not take inter-electronic interactions into account.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356458 According to Bohr's theory, the moment of momentum of an electron revolving in \(4^{\text {th }}\) orbit of hydrogen atom is

1 \(\dfrac{h}{2 \pi}\)
2 \(8 \dfrac{h}{\pi}\)
3 \(\dfrac{h}{\pi}\)
4 \(2 \dfrac{h}{\pi}\)
PHXII12:ATOMS

356459 In Bohr model of hydrogen atom, the force on the electron depends on the principal quantum number \({n}\) as

1 \({F \propto 1 / n^{3}}\)
2 \({F \propto 1 / n^{4}}\)
3 \({F \propto 1 / n^{5}}\)
4 does not depend on \({n}\)
PHXII12:ATOMS

356455 The electric current \(I\) created by the electron in the ground state of \(H\) atom using Bohr model in terms of Bohr radius \(\left(a_{0}\right)\) and velocity \(\left(v_{0}\right)\) of electron in first orbit is:

1 \(\dfrac{e v_{0}}{2 \pi a_{0}}\)
2 \(\dfrac{2 \pi a_{0}}{e v_{0}}\)
3 \(\dfrac{2 \pi a_{0}}{v_{0}}\)
4 \(\dfrac{v_{0}}{2 \pi a_{0}}\)
PHXII12:ATOMS

356456 Assertion :
Electrons in the atom are held due to coulomb forces.
Reason :
The atom is stable only because the centripetal force due to Coulomb's law is balanced by the centrifugal force.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356457 Assertion :
Bohr's atomic model cannot be used to explain multiple electron species
Reason :
It does not take inter-electronic interactions into account.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356458 According to Bohr's theory, the moment of momentum of an electron revolving in \(4^{\text {th }}\) orbit of hydrogen atom is

1 \(\dfrac{h}{2 \pi}\)
2 \(8 \dfrac{h}{\pi}\)
3 \(\dfrac{h}{\pi}\)
4 \(2 \dfrac{h}{\pi}\)
PHXII12:ATOMS

356459 In Bohr model of hydrogen atom, the force on the electron depends on the principal quantum number \({n}\) as

1 \({F \propto 1 / n^{3}}\)
2 \({F \propto 1 / n^{4}}\)
3 \({F \propto 1 / n^{5}}\)
4 does not depend on \({n}\)
PHXII12:ATOMS

356455 The electric current \(I\) created by the electron in the ground state of \(H\) atom using Bohr model in terms of Bohr radius \(\left(a_{0}\right)\) and velocity \(\left(v_{0}\right)\) of electron in first orbit is:

1 \(\dfrac{e v_{0}}{2 \pi a_{0}}\)
2 \(\dfrac{2 \pi a_{0}}{e v_{0}}\)
3 \(\dfrac{2 \pi a_{0}}{v_{0}}\)
4 \(\dfrac{v_{0}}{2 \pi a_{0}}\)
PHXII12:ATOMS

356456 Assertion :
Electrons in the atom are held due to coulomb forces.
Reason :
The atom is stable only because the centripetal force due to Coulomb's law is balanced by the centrifugal force.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356457 Assertion :
Bohr's atomic model cannot be used to explain multiple electron species
Reason :
It does not take inter-electronic interactions into account.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII12:ATOMS

356458 According to Bohr's theory, the moment of momentum of an electron revolving in \(4^{\text {th }}\) orbit of hydrogen atom is

1 \(\dfrac{h}{2 \pi}\)
2 \(8 \dfrac{h}{\pi}\)
3 \(\dfrac{h}{\pi}\)
4 \(2 \dfrac{h}{\pi}\)
PHXII12:ATOMS

356459 In Bohr model of hydrogen atom, the force on the electron depends on the principal quantum number \({n}\) as

1 \({F \propto 1 / n^{3}}\)
2 \({F \propto 1 / n^{4}}\)
3 \({F \propto 1 / n^{5}}\)
4 does not depend on \({n}\)