Bohr Model of the Hydrogen Atom
PHXII12:ATOMS

356438 In hydrogen atom, electron excites from ground state to higher energy state and its orbital velocity is reduced to \({\left( {\frac{1}{3}} \right)^{rd}}\) of its initial value. The radius of the orbit in the ground state is \(R\). The radius of the orbit in that higher state is ......

1 \(2R\)
2 \(3R\)
3 \(27R\)
4 \(9R\)
PHXII12:ATOMS

356439 Assertion :
The electron in the hydrogen atom passes from energy level \(n=4\) to the \(n=1\) level. The maximum and minimum number of photons that can be emitted are six and one respectively.
Reason :
The photons are emitted when electron make a transition from the lower energy state to the higher energy state.

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

356440 The average \(KE\) of molecules in a gas at temperature \(T\) is \(\frac{3}{2}KT\).Find the temperature at which the average \(KE\) of molecules equal to binding energy of \(H\)-atom

1 \({\rm{1}}{\rm{.05}} \times {\rm{1}}{{\rm{0}}^4}K\)
2 \({\rm{1}}{\rm{.05}} \times {\rm{1}}{{\rm{0}}^5}K\)
3 \({\rm{1}}{\rm{.05}} \times {\rm{1}}{{\rm{0}}^3}K\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXII12:ATOMS

356441 For an electron in the seventh orbit of hydrogen, the moment of momentum as per Bohr’s model is

1 \(\frac{{7h}}{{2\pi }}\)
2 \(\frac{{2h}}{\pi }\)
3 \(\frac{{5h}}{{2\pi }}\)
4 \(2\pi h\)
PHXII12:ATOMS

356438 In hydrogen atom, electron excites from ground state to higher energy state and its orbital velocity is reduced to \({\left( {\frac{1}{3}} \right)^{rd}}\) of its initial value. The radius of the orbit in the ground state is \(R\). The radius of the orbit in that higher state is ......

1 \(2R\)
2 \(3R\)
3 \(27R\)
4 \(9R\)
PHXII12:ATOMS

356439 Assertion :
The electron in the hydrogen atom passes from energy level \(n=4\) to the \(n=1\) level. The maximum and minimum number of photons that can be emitted are six and one respectively.
Reason :
The photons are emitted when electron make a transition from the lower energy state to the higher energy state.

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

356440 The average \(KE\) of molecules in a gas at temperature \(T\) is \(\frac{3}{2}KT\).Find the temperature at which the average \(KE\) of molecules equal to binding energy of \(H\)-atom

1 \({\rm{1}}{\rm{.05}} \times {\rm{1}}{{\rm{0}}^4}K\)
2 \({\rm{1}}{\rm{.05}} \times {\rm{1}}{{\rm{0}}^5}K\)
3 \({\rm{1}}{\rm{.05}} \times {\rm{1}}{{\rm{0}}^3}K\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXII12:ATOMS

356441 For an electron in the seventh orbit of hydrogen, the moment of momentum as per Bohr’s model is

1 \(\frac{{7h}}{{2\pi }}\)
2 \(\frac{{2h}}{\pi }\)
3 \(\frac{{5h}}{{2\pi }}\)
4 \(2\pi h\)
PHXII12:ATOMS

356438 In hydrogen atom, electron excites from ground state to higher energy state and its orbital velocity is reduced to \({\left( {\frac{1}{3}} \right)^{rd}}\) of its initial value. The radius of the orbit in the ground state is \(R\). The radius of the orbit in that higher state is ......

1 \(2R\)
2 \(3R\)
3 \(27R\)
4 \(9R\)
PHXII12:ATOMS

356439 Assertion :
The electron in the hydrogen atom passes from energy level \(n=4\) to the \(n=1\) level. The maximum and minimum number of photons that can be emitted are six and one respectively.
Reason :
The photons are emitted when electron make a transition from the lower energy state to the higher energy state.

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

356440 The average \(KE\) of molecules in a gas at temperature \(T\) is \(\frac{3}{2}KT\).Find the temperature at which the average \(KE\) of molecules equal to binding energy of \(H\)-atom

1 \({\rm{1}}{\rm{.05}} \times {\rm{1}}{{\rm{0}}^4}K\)
2 \({\rm{1}}{\rm{.05}} \times {\rm{1}}{{\rm{0}}^5}K\)
3 \({\rm{1}}{\rm{.05}} \times {\rm{1}}{{\rm{0}}^3}K\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXII12:ATOMS

356441 For an electron in the seventh orbit of hydrogen, the moment of momentum as per Bohr’s model is

1 \(\frac{{7h}}{{2\pi }}\)
2 \(\frac{{2h}}{\pi }\)
3 \(\frac{{5h}}{{2\pi }}\)
4 \(2\pi h\)
PHXII12:ATOMS

356438 In hydrogen atom, electron excites from ground state to higher energy state and its orbital velocity is reduced to \({\left( {\frac{1}{3}} \right)^{rd}}\) of its initial value. The radius of the orbit in the ground state is \(R\). The radius of the orbit in that higher state is ......

1 \(2R\)
2 \(3R\)
3 \(27R\)
4 \(9R\)
PHXII12:ATOMS

356439 Assertion :
The electron in the hydrogen atom passes from energy level \(n=4\) to the \(n=1\) level. The maximum and minimum number of photons that can be emitted are six and one respectively.
Reason :
The photons are emitted when electron make a transition from the lower energy state to the higher energy state.

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

356440 The average \(KE\) of molecules in a gas at temperature \(T\) is \(\frac{3}{2}KT\).Find the temperature at which the average \(KE\) of molecules equal to binding energy of \(H\)-atom

1 \({\rm{1}}{\rm{.05}} \times {\rm{1}}{{\rm{0}}^4}K\)
2 \({\rm{1}}{\rm{.05}} \times {\rm{1}}{{\rm{0}}^5}K\)
3 \({\rm{1}}{\rm{.05}} \times {\rm{1}}{{\rm{0}}^3}K\)
4 \({\rm{None }}\,{\rm{of }}\,{\rm{these}}\)
PHXII12:ATOMS

356441 For an electron in the seventh orbit of hydrogen, the moment of momentum as per Bohr’s model is

1 \(\frac{{7h}}{{2\pi }}\)
2 \(\frac{{2h}}{\pi }\)
3 \(\frac{{5h}}{{2\pi }}\)
4 \(2\pi h\)