Quantum Mechanical Model of Atom
CHXI02:STRUCTURE OF ATOM

307441 The quantum number not obtained from the Schrodinger’s wave equation is

1 \({\rm{n}}\)
2 \({\rm{1}}\)
3 \({\rm{m}}\)
4 \({\rm{s}}\)
CHXI02:STRUCTURE OF ATOM

307442 Which of the following statement concerning probability density \(\left( {{{\rm{\Psi }}^{\rm{2}}}} \right)\) and radial distribution function \(\left( {{\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}} \right)\) for a s-orbital of H-like species is correct?

1 \({{\rm{\Psi }}^{\rm{2}}}\) is minimum at nucleus but \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) is maximum at nucleus.
2 \({{\rm{\Psi }}^{\rm{2}}}\) is maximum at nucleus but \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) is minimum at nucleus.
3 Both \({{\rm{\Psi }}^{\rm{2}}}\) and \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) are maximum at nucleus.
4 Both \({{\rm{\Psi }}^{\rm{2}}}\) and \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) are minimum at nucleus.
CHXI02:STRUCTURE OF ATOM

307443 Which of the following is not true for the quantum mechanical model of the atom?

1 Even though there is one electron in a H-atom, there are many atomic orbitals in the atom as many wave functions are possible as the solution of the wave equation.
2 All the information about the electron in an atom is stored in its orbital wave function \(\psi \) and quantum mechanics makes it possible to extract this information out of \(\psi .\)
3 The probability of finding an electron at a point within an atom is proportional to the square of the orbital wave function i.e., \(|\psi {|^2}\) at that point.
4 \(|\psi {|^2}\) is known as the probability density and can never be positive.
CHXI02:STRUCTURE OF ATOM

307444 Wave mechanical model of the atom depends upon

1 De-Broglie concept of dual nature of electron
2 Heisenberg uncertainty principle
3 Schrodinger uncertainty principle
4 All of above
CHXI02:STRUCTURE OF ATOM

307445 Total number of electrons that can be accommodated in the sub-shell (l = 2) are

1 \({\rm{6}}\)
2 \({\rm{10}}\)
3 \({\rm{14}}\)
4 \({\rm{2}}\)
CHXI02:STRUCTURE OF ATOM

307441 The quantum number not obtained from the Schrodinger’s wave equation is

1 \({\rm{n}}\)
2 \({\rm{1}}\)
3 \({\rm{m}}\)
4 \({\rm{s}}\)
CHXI02:STRUCTURE OF ATOM

307442 Which of the following statement concerning probability density \(\left( {{{\rm{\Psi }}^{\rm{2}}}} \right)\) and radial distribution function \(\left( {{\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}} \right)\) for a s-orbital of H-like species is correct?

1 \({{\rm{\Psi }}^{\rm{2}}}\) is minimum at nucleus but \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) is maximum at nucleus.
2 \({{\rm{\Psi }}^{\rm{2}}}\) is maximum at nucleus but \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) is minimum at nucleus.
3 Both \({{\rm{\Psi }}^{\rm{2}}}\) and \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) are maximum at nucleus.
4 Both \({{\rm{\Psi }}^{\rm{2}}}\) and \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) are minimum at nucleus.
CHXI02:STRUCTURE OF ATOM

307443 Which of the following is not true for the quantum mechanical model of the atom?

1 Even though there is one electron in a H-atom, there are many atomic orbitals in the atom as many wave functions are possible as the solution of the wave equation.
2 All the information about the electron in an atom is stored in its orbital wave function \(\psi \) and quantum mechanics makes it possible to extract this information out of \(\psi .\)
3 The probability of finding an electron at a point within an atom is proportional to the square of the orbital wave function i.e., \(|\psi {|^2}\) at that point.
4 \(|\psi {|^2}\) is known as the probability density and can never be positive.
CHXI02:STRUCTURE OF ATOM

307444 Wave mechanical model of the atom depends upon

1 De-Broglie concept of dual nature of electron
2 Heisenberg uncertainty principle
3 Schrodinger uncertainty principle
4 All of above
CHXI02:STRUCTURE OF ATOM

307445 Total number of electrons that can be accommodated in the sub-shell (l = 2) are

1 \({\rm{6}}\)
2 \({\rm{10}}\)
3 \({\rm{14}}\)
4 \({\rm{2}}\)
CHXI02:STRUCTURE OF ATOM

307441 The quantum number not obtained from the Schrodinger’s wave equation is

1 \({\rm{n}}\)
2 \({\rm{1}}\)
3 \({\rm{m}}\)
4 \({\rm{s}}\)
CHXI02:STRUCTURE OF ATOM

307442 Which of the following statement concerning probability density \(\left( {{{\rm{\Psi }}^{\rm{2}}}} \right)\) and radial distribution function \(\left( {{\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}} \right)\) for a s-orbital of H-like species is correct?

1 \({{\rm{\Psi }}^{\rm{2}}}\) is minimum at nucleus but \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) is maximum at nucleus.
2 \({{\rm{\Psi }}^{\rm{2}}}\) is maximum at nucleus but \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) is minimum at nucleus.
3 Both \({{\rm{\Psi }}^{\rm{2}}}\) and \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) are maximum at nucleus.
4 Both \({{\rm{\Psi }}^{\rm{2}}}\) and \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) are minimum at nucleus.
CHXI02:STRUCTURE OF ATOM

307443 Which of the following is not true for the quantum mechanical model of the atom?

1 Even though there is one electron in a H-atom, there are many atomic orbitals in the atom as many wave functions are possible as the solution of the wave equation.
2 All the information about the electron in an atom is stored in its orbital wave function \(\psi \) and quantum mechanics makes it possible to extract this information out of \(\psi .\)
3 The probability of finding an electron at a point within an atom is proportional to the square of the orbital wave function i.e., \(|\psi {|^2}\) at that point.
4 \(|\psi {|^2}\) is known as the probability density and can never be positive.
CHXI02:STRUCTURE OF ATOM

307444 Wave mechanical model of the atom depends upon

1 De-Broglie concept of dual nature of electron
2 Heisenberg uncertainty principle
3 Schrodinger uncertainty principle
4 All of above
CHXI02:STRUCTURE OF ATOM

307445 Total number of electrons that can be accommodated in the sub-shell (l = 2) are

1 \({\rm{6}}\)
2 \({\rm{10}}\)
3 \({\rm{14}}\)
4 \({\rm{2}}\)
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CHXI02:STRUCTURE OF ATOM

307441 The quantum number not obtained from the Schrodinger’s wave equation is

1 \({\rm{n}}\)
2 \({\rm{1}}\)
3 \({\rm{m}}\)
4 \({\rm{s}}\)
CHXI02:STRUCTURE OF ATOM

307442 Which of the following statement concerning probability density \(\left( {{{\rm{\Psi }}^{\rm{2}}}} \right)\) and radial distribution function \(\left( {{\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}} \right)\) for a s-orbital of H-like species is correct?

1 \({{\rm{\Psi }}^{\rm{2}}}\) is minimum at nucleus but \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) is maximum at nucleus.
2 \({{\rm{\Psi }}^{\rm{2}}}\) is maximum at nucleus but \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) is minimum at nucleus.
3 Both \({{\rm{\Psi }}^{\rm{2}}}\) and \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) are maximum at nucleus.
4 Both \({{\rm{\Psi }}^{\rm{2}}}\) and \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) are minimum at nucleus.
CHXI02:STRUCTURE OF ATOM

307443 Which of the following is not true for the quantum mechanical model of the atom?

1 Even though there is one electron in a H-atom, there are many atomic orbitals in the atom as many wave functions are possible as the solution of the wave equation.
2 All the information about the electron in an atom is stored in its orbital wave function \(\psi \) and quantum mechanics makes it possible to extract this information out of \(\psi .\)
3 The probability of finding an electron at a point within an atom is proportional to the square of the orbital wave function i.e., \(|\psi {|^2}\) at that point.
4 \(|\psi {|^2}\) is known as the probability density and can never be positive.
CHXI02:STRUCTURE OF ATOM

307444 Wave mechanical model of the atom depends upon

1 De-Broglie concept of dual nature of electron
2 Heisenberg uncertainty principle
3 Schrodinger uncertainty principle
4 All of above
CHXI02:STRUCTURE OF ATOM

307445 Total number of electrons that can be accommodated in the sub-shell (l = 2) are

1 \({\rm{6}}\)
2 \({\rm{10}}\)
3 \({\rm{14}}\)
4 \({\rm{2}}\)
CHXI02:STRUCTURE OF ATOM

307441 The quantum number not obtained from the Schrodinger’s wave equation is

1 \({\rm{n}}\)
2 \({\rm{1}}\)
3 \({\rm{m}}\)
4 \({\rm{s}}\)
CHXI02:STRUCTURE OF ATOM

307442 Which of the following statement concerning probability density \(\left( {{{\rm{\Psi }}^{\rm{2}}}} \right)\) and radial distribution function \(\left( {{\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}} \right)\) for a s-orbital of H-like species is correct?

1 \({{\rm{\Psi }}^{\rm{2}}}\) is minimum at nucleus but \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) is maximum at nucleus.
2 \({{\rm{\Psi }}^{\rm{2}}}\) is maximum at nucleus but \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) is minimum at nucleus.
3 Both \({{\rm{\Psi }}^{\rm{2}}}\) and \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) are maximum at nucleus.
4 Both \({{\rm{\Psi }}^{\rm{2}}}\) and \({\rm{4\pi }}{{\rm{r}}^{\rm{2}}}{{\rm{\Psi }}^{\rm{2}}}\) are minimum at nucleus.
CHXI02:STRUCTURE OF ATOM

307443 Which of the following is not true for the quantum mechanical model of the atom?

1 Even though there is one electron in a H-atom, there are many atomic orbitals in the atom as many wave functions are possible as the solution of the wave equation.
2 All the information about the electron in an atom is stored in its orbital wave function \(\psi \) and quantum mechanics makes it possible to extract this information out of \(\psi .\)
3 The probability of finding an electron at a point within an atom is proportional to the square of the orbital wave function i.e., \(|\psi {|^2}\) at that point.
4 \(|\psi {|^2}\) is known as the probability density and can never be positive.
CHXI02:STRUCTURE OF ATOM

307444 Wave mechanical model of the atom depends upon

1 De-Broglie concept of dual nature of electron
2 Heisenberg uncertainty principle
3 Schrodinger uncertainty principle
4 All of above
CHXI02:STRUCTURE OF ATOM

307445 Total number of electrons that can be accommodated in the sub-shell (l = 2) are

1 \({\rm{6}}\)
2 \({\rm{10}}\)
3 \({\rm{14}}\)
4 \({\rm{2}}\)