The probability density plots of 1s and 2s orbitals diagrams are given below :

The density of dots in a region represents the probability density of finding electrons in the region.
On the basis of the above diagram which of the following statements is incorrect?
| 1. | 1s and 2s orbitals are spherical in shape |
| 2. | The probability of finding the electron is maximum near the nucleus |
| 3. | The probability of finding the electron at a given distance is equal in all directions |
| 4. | The probability density of electrons for 2s orbital decreases uniformly as the distance from the nucleus increases |
The number of angular nodes for 4d orbital is :
1. 4
2. 3
3. 2
4. 1
Total number of orbitals associated with third shell will be _____.
1. 2
2. 4
3. 9
4. 3
Orbital angular momentum depends on _______.
1. l
2. n and l
3. n and
4. and
For the electrons of an oxygen atom. The correct statement among the following is :
| 1. | Zeff for an electron in a 2s orbital is the same as Zeff for an electron in a 2p orbital. |
| 2. | An electron in the 2s orbital has the same energy as an electron in the 2p orbital. |
| 3. | Zeff for an electron in 1s orbital is the same as Zeff for an electron in a 2s orbital |
| 4. | The two electrons present in the 2s orbital have same spin quantum numbers ms but of opposite sign |
Match the quantum numbers with the information provided by them:
| Quantum number | Information provided | ||
| A. | Principal quantum number | 1. | Orientation of the orbital |
| B. | Azimuthal quantum number | 2. | Energy and size of orbital |
| C. | Magnetic quantum number | 3. | Spin of electron |
| D. | Spin quantum number | 4. | Shape of the orbital |
| A | B | C | D | |
| 1. | 2 | 4 | 1 | 3 |
| 2. | 1 | 2 | 3 | 4 |
| 3. | 1 | 4 | 3 | 2 |
| 4. | 4 | 1 | 3 | 2 |
Match the following.
|
Column I |
Column II |
||
| A. |
Photon |
1. |
Value is 4 for N-shell |
| B. |
Electron |
2. |
Probability density |
| C. | 3. |
Always positive value |
|
| D. |
Principle quantum number n |
4. |
Exhibits both momentum and wavelength |
Options:
| A | B | C | D | |
| 1. | 4 | 4 | 2,3 | 1,3 |
| 2. | 1 | 2 | 3 | 4 |
| 3. | 2,1 | 4 | 3 | 2,3 |
| 4. | 4 | 5 | 3 | 2 |
The correct statement(s) among the following regarding quantum numbers is:
| a. | The angular quantum number determines the three-dimensional shape of the orbital. |
| b. | The principal quantum number determines the orientation and energy of the orbital. |
| c. | The magnetic quantum number determines the size of the orbital. |
| d. | The spin quantum number of an electron determines the orientation of the spin of the electron relative to the chosen axis. |
Choose the correct option:
1. (a) and (d)
2. (b) and (c)
3. (c) and (d)
4. (b) and (d)