Bohr Model of the Hydrogen Atom
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PHXII12:ATOMS

356464 \({E_n}\) and \({J_{n}}\) denote the total energy and the angular momentum of an electron in the \({n^{\text {th }}}\) allowed orbit of a Bohr atom. Choose the correct relation between \({E_{n}}\) and \({J_{n}}\)

1 \({E_{n} \propto J_{n}}\)
2 \({E_{n} \propto 1 / J_{n}}\)
3 \({E_{n} \propto J_{n}^{2}}\)
4 \({E_{n} \propto 1 / J_{n}^{2}}\)
PHXII12:ATOMS

356465 If in the first orbit of a hydrogen atom, the total energy of the electron is \({-21.76 \times 10^{-19} {~J}}\), then its electric potential energy will be

1 \({-43.52 \times 10^{-19} {~J}}\)
2 \({-21.76 \times 10^{-19} J}\)
3 \({-10.88 \times 10^{-19} {~J}}\)
4 \({-13.6 \times 10^{-19} {~J}}\)
PHXII12:ATOMS

356466 The period of revolution of an electron in the ground state of hydrogen atom is \(T\). The period of revolution of the electron in the first excited state is

1 \(2T\)
2 \(4T\)
3 \(6T\)
4 \(8T\)
KCET - 2018
PHXII12:ATOMS

356467 The radius of the smallest electron orbit in hydrogen like ion is \((0.5 \times {10^{ - 10}}/4)\), then it is:

1 \({\rm{hydrogen}}\,{\rm{atom}}\)
2 \(H{e^ + }\)
3 \(L{i^{2 + }}\)
4 \(B{e^{3 + }}\)
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PHXII12:ATOMS

356464 \({E_n}\) and \({J_{n}}\) denote the total energy and the angular momentum of an electron in the \({n^{\text {th }}}\) allowed orbit of a Bohr atom. Choose the correct relation between \({E_{n}}\) and \({J_{n}}\)

1 \({E_{n} \propto J_{n}}\)
2 \({E_{n} \propto 1 / J_{n}}\)
3 \({E_{n} \propto J_{n}^{2}}\)
4 \({E_{n} \propto 1 / J_{n}^{2}}\)
PHXII12:ATOMS

356465 If in the first orbit of a hydrogen atom, the total energy of the electron is \({-21.76 \times 10^{-19} {~J}}\), then its electric potential energy will be

1 \({-43.52 \times 10^{-19} {~J}}\)
2 \({-21.76 \times 10^{-19} J}\)
3 \({-10.88 \times 10^{-19} {~J}}\)
4 \({-13.6 \times 10^{-19} {~J}}\)
PHXII12:ATOMS

356466 The period of revolution of an electron in the ground state of hydrogen atom is \(T\). The period of revolution of the electron in the first excited state is

1 \(2T\)
2 \(4T\)
3 \(6T\)
4 \(8T\)
KCET - 2018
PHXII12:ATOMS

356467 The radius of the smallest electron orbit in hydrogen like ion is \((0.5 \times {10^{ - 10}}/4)\), then it is:

1 \({\rm{hydrogen}}\,{\rm{atom}}\)
2 \(H{e^ + }\)
3 \(L{i^{2 + }}\)
4 \(B{e^{3 + }}\)
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PHXII12:ATOMS

356464 \({E_n}\) and \({J_{n}}\) denote the total energy and the angular momentum of an electron in the \({n^{\text {th }}}\) allowed orbit of a Bohr atom. Choose the correct relation between \({E_{n}}\) and \({J_{n}}\)

1 \({E_{n} \propto J_{n}}\)
2 \({E_{n} \propto 1 / J_{n}}\)
3 \({E_{n} \propto J_{n}^{2}}\)
4 \({E_{n} \propto 1 / J_{n}^{2}}\)
PHXII12:ATOMS

356465 If in the first orbit of a hydrogen atom, the total energy of the electron is \({-21.76 \times 10^{-19} {~J}}\), then its electric potential energy will be

1 \({-43.52 \times 10^{-19} {~J}}\)
2 \({-21.76 \times 10^{-19} J}\)
3 \({-10.88 \times 10^{-19} {~J}}\)
4 \({-13.6 \times 10^{-19} {~J}}\)
PHXII12:ATOMS

356466 The period of revolution of an electron in the ground state of hydrogen atom is \(T\). The period of revolution of the electron in the first excited state is

1 \(2T\)
2 \(4T\)
3 \(6T\)
4 \(8T\)
KCET - 2018
PHXII12:ATOMS

356467 The radius of the smallest electron orbit in hydrogen like ion is \((0.5 \times {10^{ - 10}}/4)\), then it is:

1 \({\rm{hydrogen}}\,{\rm{atom}}\)
2 \(H{e^ + }\)
3 \(L{i^{2 + }}\)
4 \(B{e^{3 + }}\)
NEET DIGITAL LIBRARY
PHXII12:ATOMS

356464 \({E_n}\) and \({J_{n}}\) denote the total energy and the angular momentum of an electron in the \({n^{\text {th }}}\) allowed orbit of a Bohr atom. Choose the correct relation between \({E_{n}}\) and \({J_{n}}\)

1 \({E_{n} \propto J_{n}}\)
2 \({E_{n} \propto 1 / J_{n}}\)
3 \({E_{n} \propto J_{n}^{2}}\)
4 \({E_{n} \propto 1 / J_{n}^{2}}\)
PHXII12:ATOMS

356465 If in the first orbit of a hydrogen atom, the total energy of the electron is \({-21.76 \times 10^{-19} {~J}}\), then its electric potential energy will be

1 \({-43.52 \times 10^{-19} {~J}}\)
2 \({-21.76 \times 10^{-19} J}\)
3 \({-10.88 \times 10^{-19} {~J}}\)
4 \({-13.6 \times 10^{-19} {~J}}\)
PHXII12:ATOMS

356466 The period of revolution of an electron in the ground state of hydrogen atom is \(T\). The period of revolution of the electron in the first excited state is

1 \(2T\)
2 \(4T\)
3 \(6T\)
4 \(8T\)
KCET - 2018
PHXII12:ATOMS

356467 The radius of the smallest electron orbit in hydrogen like ion is \((0.5 \times {10^{ - 10}}/4)\), then it is:

1 \({\rm{hydrogen}}\,{\rm{atom}}\)
2 \(H{e^ + }\)
3 \(L{i^{2 + }}\)
4 \(B{e^{3 + }}\)
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