Bohr's Model for Hydrogen Atom
CHXI02:STRUCTURE OF ATOM

307138 If the energy of an electron in the second Bohr orbit of H-atom is \({\rm{ }} - {\rm{E}}\) , what is the energy of the electron in the Bohr's first orbit ?

1 2E
2 \( - 4{\rm{E}}\)
3 \( - 2{\rm{E}}\)
4 4 E
CHXI02:STRUCTURE OF ATOM

307170 The ionisation energy of a hydrogen atom is 13.6 eV. The energy of the third-lowest electronic level in doubly ionised lithium ion \({\rm{(Z = 3)}}\) is

1 \({\rm{ - 28}}{\rm{.7}}\,{\rm{eV}}\)
2 \({\rm{ - 54}}{\rm{.4}}\,{\rm{eV}}\)
3 \({\rm{ - 122}}{\rm{.4}}\,{\rm{eV}}\)
4 \({\rm{ - 13}}{\rm{.6}}\,{\rm{eV}}\)
CHXI02:STRUCTURE OF ATOM

307139 Based on the equation:
\({\rm{\Delta E = - 2}}{\rm{.0 \times 1}}{{\rm{0}}^{{\rm{ - 18}}}}{\rm{J}}\left( {\frac{{\rm{1}}}{{{\rm{n}}_{\rm{1}}^{\rm{2}}}}{\rm{ - }}\frac{{\rm{1}}}{{{\rm{n}}_{\rm{2}}^{\rm{2}}}}} \right){\rm{,}}\) the wavelength of the light that must be absorbed to excite hydrogen electron from level \({\rm{n = 1}}\) to level \({\rm{n = 2}}\) will be:
\({\rm{(h = 6}}{\rm{.625 \times 1}}{{\rm{0}}^{{\rm{ - 34}}}}{\rm{Js,c = 3 \times 1}}{{\rm{0}}^{\rm{8}}}\,{\rm{m}}{{\rm{s}}^{{\rm{ - 1}}}}{\rm{)}}\)

1 \({\rm{1}}{\rm{.325 \times 1}}{{\rm{0}}^{{\rm{ - 7}}}}\,{\rm{m}}\)
2 \({\rm{1}}{\rm{.325 \times 1}}{{\rm{0}}^{{\rm{ - 10}}}}\,{\rm{m}}\)
3 \({\rm{2}}{\rm{.650 \times 1}}{{\rm{0}}^{{\rm{ - 7}}}}\,{\rm{m}}\)
4 \({\rm{5}}{\rm{.300 \times 1}}{{\rm{0}}^{{\rm{ - 10}}}}\,{\rm{m}}\)
CHXI02:STRUCTURE OF ATOM

307140 If potential energy of an electron in hydrogen atom is \({\rm{ - x}}\,{\rm{eV}}\), then its kinetic energy will be

1 \({\rm{x}}\,{\rm{eV}}\)
2 \({\rm{ - x}}\,{\rm{eV}}\)
3 \({\rm{2x}}\,{\rm{eV}}\)
4 \(\frac{{\rm{x}}}{{\rm{2}}}\,{\rm{eV}}\)
CHXI02:STRUCTURE OF ATOM

307138 If the energy of an electron in the second Bohr orbit of H-atom is \({\rm{ }} - {\rm{E}}\) , what is the energy of the electron in the Bohr's first orbit ?

1 2E
2 \( - 4{\rm{E}}\)
3 \( - 2{\rm{E}}\)
4 4 E
CHXI02:STRUCTURE OF ATOM

307170 The ionisation energy of a hydrogen atom is 13.6 eV. The energy of the third-lowest electronic level in doubly ionised lithium ion \({\rm{(Z = 3)}}\) is

1 \({\rm{ - 28}}{\rm{.7}}\,{\rm{eV}}\)
2 \({\rm{ - 54}}{\rm{.4}}\,{\rm{eV}}\)
3 \({\rm{ - 122}}{\rm{.4}}\,{\rm{eV}}\)
4 \({\rm{ - 13}}{\rm{.6}}\,{\rm{eV}}\)
CHXI02:STRUCTURE OF ATOM

307139 Based on the equation:
\({\rm{\Delta E = - 2}}{\rm{.0 \times 1}}{{\rm{0}}^{{\rm{ - 18}}}}{\rm{J}}\left( {\frac{{\rm{1}}}{{{\rm{n}}_{\rm{1}}^{\rm{2}}}}{\rm{ - }}\frac{{\rm{1}}}{{{\rm{n}}_{\rm{2}}^{\rm{2}}}}} \right){\rm{,}}\) the wavelength of the light that must be absorbed to excite hydrogen electron from level \({\rm{n = 1}}\) to level \({\rm{n = 2}}\) will be:
\({\rm{(h = 6}}{\rm{.625 \times 1}}{{\rm{0}}^{{\rm{ - 34}}}}{\rm{Js,c = 3 \times 1}}{{\rm{0}}^{\rm{8}}}\,{\rm{m}}{{\rm{s}}^{{\rm{ - 1}}}}{\rm{)}}\)

1 \({\rm{1}}{\rm{.325 \times 1}}{{\rm{0}}^{{\rm{ - 7}}}}\,{\rm{m}}\)
2 \({\rm{1}}{\rm{.325 \times 1}}{{\rm{0}}^{{\rm{ - 10}}}}\,{\rm{m}}\)
3 \({\rm{2}}{\rm{.650 \times 1}}{{\rm{0}}^{{\rm{ - 7}}}}\,{\rm{m}}\)
4 \({\rm{5}}{\rm{.300 \times 1}}{{\rm{0}}^{{\rm{ - 10}}}}\,{\rm{m}}\)
CHXI02:STRUCTURE OF ATOM

307140 If potential energy of an electron in hydrogen atom is \({\rm{ - x}}\,{\rm{eV}}\), then its kinetic energy will be

1 \({\rm{x}}\,{\rm{eV}}\)
2 \({\rm{ - x}}\,{\rm{eV}}\)
3 \({\rm{2x}}\,{\rm{eV}}\)
4 \(\frac{{\rm{x}}}{{\rm{2}}}\,{\rm{eV}}\)
CHXI02:STRUCTURE OF ATOM

307138 If the energy of an electron in the second Bohr orbit of H-atom is \({\rm{ }} - {\rm{E}}\) , what is the energy of the electron in the Bohr's first orbit ?

1 2E
2 \( - 4{\rm{E}}\)
3 \( - 2{\rm{E}}\)
4 4 E
CHXI02:STRUCTURE OF ATOM

307170 The ionisation energy of a hydrogen atom is 13.6 eV. The energy of the third-lowest electronic level in doubly ionised lithium ion \({\rm{(Z = 3)}}\) is

1 \({\rm{ - 28}}{\rm{.7}}\,{\rm{eV}}\)
2 \({\rm{ - 54}}{\rm{.4}}\,{\rm{eV}}\)
3 \({\rm{ - 122}}{\rm{.4}}\,{\rm{eV}}\)
4 \({\rm{ - 13}}{\rm{.6}}\,{\rm{eV}}\)
CHXI02:STRUCTURE OF ATOM

307139 Based on the equation:
\({\rm{\Delta E = - 2}}{\rm{.0 \times 1}}{{\rm{0}}^{{\rm{ - 18}}}}{\rm{J}}\left( {\frac{{\rm{1}}}{{{\rm{n}}_{\rm{1}}^{\rm{2}}}}{\rm{ - }}\frac{{\rm{1}}}{{{\rm{n}}_{\rm{2}}^{\rm{2}}}}} \right){\rm{,}}\) the wavelength of the light that must be absorbed to excite hydrogen electron from level \({\rm{n = 1}}\) to level \({\rm{n = 2}}\) will be:
\({\rm{(h = 6}}{\rm{.625 \times 1}}{{\rm{0}}^{{\rm{ - 34}}}}{\rm{Js,c = 3 \times 1}}{{\rm{0}}^{\rm{8}}}\,{\rm{m}}{{\rm{s}}^{{\rm{ - 1}}}}{\rm{)}}\)

1 \({\rm{1}}{\rm{.325 \times 1}}{{\rm{0}}^{{\rm{ - 7}}}}\,{\rm{m}}\)
2 \({\rm{1}}{\rm{.325 \times 1}}{{\rm{0}}^{{\rm{ - 10}}}}\,{\rm{m}}\)
3 \({\rm{2}}{\rm{.650 \times 1}}{{\rm{0}}^{{\rm{ - 7}}}}\,{\rm{m}}\)
4 \({\rm{5}}{\rm{.300 \times 1}}{{\rm{0}}^{{\rm{ - 10}}}}\,{\rm{m}}\)
CHXI02:STRUCTURE OF ATOM

307140 If potential energy of an electron in hydrogen atom is \({\rm{ - x}}\,{\rm{eV}}\), then its kinetic energy will be

1 \({\rm{x}}\,{\rm{eV}}\)
2 \({\rm{ - x}}\,{\rm{eV}}\)
3 \({\rm{2x}}\,{\rm{eV}}\)
4 \(\frac{{\rm{x}}}{{\rm{2}}}\,{\rm{eV}}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
CHXI02:STRUCTURE OF ATOM

307138 If the energy of an electron in the second Bohr orbit of H-atom is \({\rm{ }} - {\rm{E}}\) , what is the energy of the electron in the Bohr's first orbit ?

1 2E
2 \( - 4{\rm{E}}\)
3 \( - 2{\rm{E}}\)
4 4 E
CHXI02:STRUCTURE OF ATOM

307170 The ionisation energy of a hydrogen atom is 13.6 eV. The energy of the third-lowest electronic level in doubly ionised lithium ion \({\rm{(Z = 3)}}\) is

1 \({\rm{ - 28}}{\rm{.7}}\,{\rm{eV}}\)
2 \({\rm{ - 54}}{\rm{.4}}\,{\rm{eV}}\)
3 \({\rm{ - 122}}{\rm{.4}}\,{\rm{eV}}\)
4 \({\rm{ - 13}}{\rm{.6}}\,{\rm{eV}}\)
CHXI02:STRUCTURE OF ATOM

307139 Based on the equation:
\({\rm{\Delta E = - 2}}{\rm{.0 \times 1}}{{\rm{0}}^{{\rm{ - 18}}}}{\rm{J}}\left( {\frac{{\rm{1}}}{{{\rm{n}}_{\rm{1}}^{\rm{2}}}}{\rm{ - }}\frac{{\rm{1}}}{{{\rm{n}}_{\rm{2}}^{\rm{2}}}}} \right){\rm{,}}\) the wavelength of the light that must be absorbed to excite hydrogen electron from level \({\rm{n = 1}}\) to level \({\rm{n = 2}}\) will be:
\({\rm{(h = 6}}{\rm{.625 \times 1}}{{\rm{0}}^{{\rm{ - 34}}}}{\rm{Js,c = 3 \times 1}}{{\rm{0}}^{\rm{8}}}\,{\rm{m}}{{\rm{s}}^{{\rm{ - 1}}}}{\rm{)}}\)

1 \({\rm{1}}{\rm{.325 \times 1}}{{\rm{0}}^{{\rm{ - 7}}}}\,{\rm{m}}\)
2 \({\rm{1}}{\rm{.325 \times 1}}{{\rm{0}}^{{\rm{ - 10}}}}\,{\rm{m}}\)
3 \({\rm{2}}{\rm{.650 \times 1}}{{\rm{0}}^{{\rm{ - 7}}}}\,{\rm{m}}\)
4 \({\rm{5}}{\rm{.300 \times 1}}{{\rm{0}}^{{\rm{ - 10}}}}\,{\rm{m}}\)
CHXI02:STRUCTURE OF ATOM

307140 If potential energy of an electron in hydrogen atom is \({\rm{ - x}}\,{\rm{eV}}\), then its kinetic energy will be

1 \({\rm{x}}\,{\rm{eV}}\)
2 \({\rm{ - x}}\,{\rm{eV}}\)
3 \({\rm{2x}}\,{\rm{eV}}\)
4 \(\frac{{\rm{x}}}{{\rm{2}}}\,{\rm{eV}}\)