Shapes of Atomic Orbitals, Radial Probability Distribution Curves and Nodes
« Previous Topic: Quantum Numbers Next Topic: Spectra »
NEET DIGITAL LIBRARY
CHXI02:STRUCTURE OF ATOM

307542 Identify the incorrect statement from the following.

1 All the five 4d orbitals have shapes similar to the respective 3d orbitals.
2 In an atom, all the five 3d orbitals are equal in energy in free state.
3 The shapes of \({{\rm{d}}_{{\rm{xy}}}}{\rm{,}}\,\,{{\rm{d}}_{{\rm{yz}}}}\) and \({{\rm{d}}_{{\rm{zx}}}}\) orbitals are similar to each other; and \({{\rm{d}}_{{{\rm{x}}^{\rm{2}}}{\rm{ - }}{{\rm{y}}^{\rm{2}}}}}\) and \({{\rm{d}}_{{{\rm{z}}^{\rm{2}}}}}\) are similar to each other.
4 All the five 5d orbitals are different in size when compared to the respective 4d orbitals
NEET - 2022
CHXI02:STRUCTURE OF ATOM

307544 Assertion :
All p-orbitals have only one planar node.
Reason :
The number of radial nodes depends on the principal quantum number only.

1 If both Assertion & Reason are true and reason is the correct explanation of the assertion.
2 If both Assertion & Reason are true but reason is not the correct explanation of the assertion.
3 If Assertion is true statement but Reason is false.
4 Assertion is false but reason is true.
CHXI02:STRUCTURE OF ATOM

307545 The wave function \((\Psi)\) of 2 s is given by \({\Psi _{2{\rm{s}}}} = \frac{1}{{2\sqrt {2\pi } }}{\left( {\frac{1}{{{{\rm{a}}_{\rm{0}}}}}} \right)^{1/2}}\left( {2 - \frac{{\rm{r}}}{{{{\rm{a}}_{\rm{0}}}}}} \right){{\rm{e}}^{ - {\rm{r}}/2{{\rm{a}}_0}}}\)
At \({\rm{r}} = {{\rm{r}}_{\rm{0}}}\), radial node is formed. Thus, \(r_{0}\) in terms of \(\mathrm{a}_{0}\)

1 \({{\rm{r}}_{\rm{0}}} = {{\rm{a}}_{\rm{0}}}\)
2 \({{\rm{r}}_{\rm{0}}} = 2\,{{\rm{a}}_{\rm{0}}}\)
3 \({{\rm{r}}_{\rm{0}}} = 4\,{{\rm{a}}_{\rm{0}}}\)
4 \({{\rm{r}}_{\rm{0}}} = \frac{{{{\rm{a}}_{\rm{0}}}}}{2}\)
JEE - 2023
CHXI02:STRUCTURE OF ATOM

307546 Electron of \(\mathrm{Be}^{3+}\) ion is present in an orbital which has 2 angular nodes and 2 radial nodes. Calculate sum of \(({\rm{n}} + l)\) for orbital in which electron is present.
(Given: In this question, n is principal quantum number and l is azimuthal quantum number).

1 1
2 3
3 5
4 7
Join With Us for More Updates
CHXI02:STRUCTURE OF ATOM

307542 Identify the incorrect statement from the following.

1 All the five 4d orbitals have shapes similar to the respective 3d orbitals.
2 In an atom, all the five 3d orbitals are equal in energy in free state.
3 The shapes of \({{\rm{d}}_{{\rm{xy}}}}{\rm{,}}\,\,{{\rm{d}}_{{\rm{yz}}}}\) and \({{\rm{d}}_{{\rm{zx}}}}\) orbitals are similar to each other; and \({{\rm{d}}_{{{\rm{x}}^{\rm{2}}}{\rm{ - }}{{\rm{y}}^{\rm{2}}}}}\) and \({{\rm{d}}_{{{\rm{z}}^{\rm{2}}}}}\) are similar to each other.
4 All the five 5d orbitals are different in size when compared to the respective 4d orbitals
NEET - 2022
CHXI02:STRUCTURE OF ATOM

307544 Assertion :
All p-orbitals have only one planar node.
Reason :
The number of radial nodes depends on the principal quantum number only.

1 If both Assertion & Reason are true and reason is the correct explanation of the assertion.
2 If both Assertion & Reason are true but reason is not the correct explanation of the assertion.
3 If Assertion is true statement but Reason is false.
4 Assertion is false but reason is true.
CHXI02:STRUCTURE OF ATOM

307545 The wave function \((\Psi)\) of 2 s is given by \({\Psi _{2{\rm{s}}}} = \frac{1}{{2\sqrt {2\pi } }}{\left( {\frac{1}{{{{\rm{a}}_{\rm{0}}}}}} \right)^{1/2}}\left( {2 - \frac{{\rm{r}}}{{{{\rm{a}}_{\rm{0}}}}}} \right){{\rm{e}}^{ - {\rm{r}}/2{{\rm{a}}_0}}}\)
At \({\rm{r}} = {{\rm{r}}_{\rm{0}}}\), radial node is formed. Thus, \(r_{0}\) in terms of \(\mathrm{a}_{0}\)

1 \({{\rm{r}}_{\rm{0}}} = {{\rm{a}}_{\rm{0}}}\)
2 \({{\rm{r}}_{\rm{0}}} = 2\,{{\rm{a}}_{\rm{0}}}\)
3 \({{\rm{r}}_{\rm{0}}} = 4\,{{\rm{a}}_{\rm{0}}}\)
4 \({{\rm{r}}_{\rm{0}}} = \frac{{{{\rm{a}}_{\rm{0}}}}}{2}\)
JEE - 2023
CHXI02:STRUCTURE OF ATOM

307546 Electron of \(\mathrm{Be}^{3+}\) ion is present in an orbital which has 2 angular nodes and 2 radial nodes. Calculate sum of \(({\rm{n}} + l)\) for orbital in which electron is present.
(Given: In this question, n is principal quantum number and l is azimuthal quantum number).

1 1
2 3
3 5
4 7
For More Updates join with Us
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
CHXI02:STRUCTURE OF ATOM

307542 Identify the incorrect statement from the following.

1 All the five 4d orbitals have shapes similar to the respective 3d orbitals.
2 In an atom, all the five 3d orbitals are equal in energy in free state.
3 The shapes of \({{\rm{d}}_{{\rm{xy}}}}{\rm{,}}\,\,{{\rm{d}}_{{\rm{yz}}}}\) and \({{\rm{d}}_{{\rm{zx}}}}\) orbitals are similar to each other; and \({{\rm{d}}_{{{\rm{x}}^{\rm{2}}}{\rm{ - }}{{\rm{y}}^{\rm{2}}}}}\) and \({{\rm{d}}_{{{\rm{z}}^{\rm{2}}}}}\) are similar to each other.
4 All the five 5d orbitals are different in size when compared to the respective 4d orbitals
NEET - 2022
CHXI02:STRUCTURE OF ATOM

307544 Assertion :
All p-orbitals have only one planar node.
Reason :
The number of radial nodes depends on the principal quantum number only.

1 If both Assertion & Reason are true and reason is the correct explanation of the assertion.
2 If both Assertion & Reason are true but reason is not the correct explanation of the assertion.
3 If Assertion is true statement but Reason is false.
4 Assertion is false but reason is true.
CHXI02:STRUCTURE OF ATOM

307545 The wave function \((\Psi)\) of 2 s is given by \({\Psi _{2{\rm{s}}}} = \frac{1}{{2\sqrt {2\pi } }}{\left( {\frac{1}{{{{\rm{a}}_{\rm{0}}}}}} \right)^{1/2}}\left( {2 - \frac{{\rm{r}}}{{{{\rm{a}}_{\rm{0}}}}}} \right){{\rm{e}}^{ - {\rm{r}}/2{{\rm{a}}_0}}}\)
At \({\rm{r}} = {{\rm{r}}_{\rm{0}}}\), radial node is formed. Thus, \(r_{0}\) in terms of \(\mathrm{a}_{0}\)

1 \({{\rm{r}}_{\rm{0}}} = {{\rm{a}}_{\rm{0}}}\)
2 \({{\rm{r}}_{\rm{0}}} = 2\,{{\rm{a}}_{\rm{0}}}\)
3 \({{\rm{r}}_{\rm{0}}} = 4\,{{\rm{a}}_{\rm{0}}}\)
4 \({{\rm{r}}_{\rm{0}}} = \frac{{{{\rm{a}}_{\rm{0}}}}}{2}\)
JEE - 2023
CHXI02:STRUCTURE OF ATOM

307546 Electron of \(\mathrm{Be}^{3+}\) ion is present in an orbital which has 2 angular nodes and 2 radial nodes. Calculate sum of \(({\rm{n}} + l)\) for orbital in which electron is present.
(Given: In this question, n is principal quantum number and l is azimuthal quantum number).

1 1
2 3
3 5
4 7
NEET DIGITAL LIBRARY
CHXI02:STRUCTURE OF ATOM

307542 Identify the incorrect statement from the following.

1 All the five 4d orbitals have shapes similar to the respective 3d orbitals.
2 In an atom, all the five 3d orbitals are equal in energy in free state.
3 The shapes of \({{\rm{d}}_{{\rm{xy}}}}{\rm{,}}\,\,{{\rm{d}}_{{\rm{yz}}}}\) and \({{\rm{d}}_{{\rm{zx}}}}\) orbitals are similar to each other; and \({{\rm{d}}_{{{\rm{x}}^{\rm{2}}}{\rm{ - }}{{\rm{y}}^{\rm{2}}}}}\) and \({{\rm{d}}_{{{\rm{z}}^{\rm{2}}}}}\) are similar to each other.
4 All the five 5d orbitals are different in size when compared to the respective 4d orbitals
NEET - 2022
CHXI02:STRUCTURE OF ATOM

307544 Assertion :
All p-orbitals have only one planar node.
Reason :
The number of radial nodes depends on the principal quantum number only.

1 If both Assertion & Reason are true and reason is the correct explanation of the assertion.
2 If both Assertion & Reason are true but reason is not the correct explanation of the assertion.
3 If Assertion is true statement but Reason is false.
4 Assertion is false but reason is true.
CHXI02:STRUCTURE OF ATOM

307545 The wave function \((\Psi)\) of 2 s is given by \({\Psi _{2{\rm{s}}}} = \frac{1}{{2\sqrt {2\pi } }}{\left( {\frac{1}{{{{\rm{a}}_{\rm{0}}}}}} \right)^{1/2}}\left( {2 - \frac{{\rm{r}}}{{{{\rm{a}}_{\rm{0}}}}}} \right){{\rm{e}}^{ - {\rm{r}}/2{{\rm{a}}_0}}}\)
At \({\rm{r}} = {{\rm{r}}_{\rm{0}}}\), radial node is formed. Thus, \(r_{0}\) in terms of \(\mathrm{a}_{0}\)

1 \({{\rm{r}}_{\rm{0}}} = {{\rm{a}}_{\rm{0}}}\)
2 \({{\rm{r}}_{\rm{0}}} = 2\,{{\rm{a}}_{\rm{0}}}\)
3 \({{\rm{r}}_{\rm{0}}} = 4\,{{\rm{a}}_{\rm{0}}}\)
4 \({{\rm{r}}_{\rm{0}}} = \frac{{{{\rm{a}}_{\rm{0}}}}}{2}\)
JEE - 2023
CHXI02:STRUCTURE OF ATOM

307546 Electron of \(\mathrm{Be}^{3+}\) ion is present in an orbital which has 2 angular nodes and 2 radial nodes. Calculate sum of \(({\rm{n}} + l)\) for orbital in which electron is present.
(Given: In this question, n is principal quantum number and l is azimuthal quantum number).

1 1
2 3
3 5
4 7
Join With Us for More Updates