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

Subtopic:  Quantum Numbers & Schrodinger Wave Equation | Shell & Subshell |
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The number of angular nodes for 4d orbital is -

1. 4

2. 3

3. 2

4. 1

Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
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Total number of orbitals associated with third shell will be _____.

1.  2

2.  4

3.  9

4.  3

Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
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Orbital angular momentum depends on _______.

1.  l

2.  n and l

3.  n and ml

4.  ml and ms

Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
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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
Subtopic:  Quantum Numbers & Schrodinger Wave Equation | Shell & Subshell |
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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

Codes
 
A B C D
1. 2 4 1 3
2. 1 2 3 4
3. 1 4 3 2
4. 4 1 3 2
Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
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Match the following.

Column I

Column II

A. Photon

1. Value is 4 for N-shell

B. Electron

2. Probability density

C. ψ2

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


 

 

Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
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The correct statement(s) among the following regarding quantum numbers is -

a. 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. Magnetic quantum number determines the size of the orbital
d. Spin quantum number of an electron determines the orientation of the spin of the electron relative to the chosen axis

1. (a), (d)

2. (b), (c)

3. (c), (d)

4. (b), (d)

Subtopic:  Quantum Numbers & Schrodinger Wave Equation |
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