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A : in a multielectron atom , the ele...

A : in a multielectron atom , the electrons in different sub-shell have different energies
R : energy of an orbital depends upon n+l value .

A

IF both assertion & reason are true and the reason is the correct explanation of the assertion then mark

B

IF both assertion & reason are true but the reason is not the correct explanation of the assertion , then mark

C

IF assertion is true statement but reason is false , then mark

D

If both assertion and reason are false statements then mark

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the assertion (A) and reason (R) provided: **Assertion (A):** In a multi-electron atom, the electrons in different sub-shells have different energies. **Reason (R):** The energy of an orbital depends upon the n + l value. ### Step-by-Step Solution: 1. **Understanding Multi-electron Atoms:** - In multi-electron atoms, electrons are arranged in various energy levels and sub-shells. Each sub-shell corresponds to a different quantum state. 2. **Energy Levels in Multi-electron Atoms:** - Unlike hydrogen-like atoms, where energy depends only on the principal quantum number (n), in multi-electron atoms, the energy of electrons also depends on the type of sub-shell they occupy (s, p, d, f). 3. **n + l Rule:** - The n + l rule states that the energy of an electron in an orbital can be determined by the sum of the principal quantum number (n) and the azimuthal quantum number (l). - For example, for the 3s orbital, n = 3 and l = 0, so n + l = 3. For the 3p orbital, n = 3 and l = 1, so n + l = 4. For the 4s orbital, n = 4 and l = 0, so n + l = 4. 4. **Comparison of Energies:** - When comparing orbitals, if two orbitals have the same n + l value, the one with the lower n value will generally have lower energy. Thus, different sub-shells (with different l values) will have different energies. 5. **Conclusion:** - The assertion (A) is correct because electrons in different sub-shells do indeed have different energies due to their different n + l values. - The reason (R) is also correct as it explains why the assertion holds true. The energy of an orbital does depend on the n + l value. ### Final Answer: Both the assertion (A) and reason (R) are correct, and the reason is the correct explanation of the assertion.
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