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Choose the correct statement (s) :...

Choose the correct statement (s) :

A

The shape of an atomic orbital depends upon azimuthal quantum number

B

The oriention of an atomic orbital depends upon the magnetic quantum number

C

The energy of an eolectron in an atomic orbitals of multi-electron atom depends upon principle quantum number only

D

The number of degenerate atomic arbitals of one type depends upon the value of azimuthal quantum number

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question "Choose the correct statement(s)", we will analyze each statement provided in the question regarding atomic structure and quantum numbers. ### Step-by-Step Solution: 1. **Analyze Statement 1:** - **Statement:** "The shape of an atomic orbital depends upon the azimuthal quantum number." - **Explanation:** The azimuthal quantum number (L) determines the shape of the orbital. For example, L=0 corresponds to an s orbital (spherical shape), L=1 corresponds to a p orbital (dumbbell shape), L=2 corresponds to a d orbital (double dumbbell shape), and L=3 corresponds to an f orbital (complex shape). - **Conclusion:** This statement is **True**. 2. **Analyze Statement 2:** - **Statement:** "The orientation of an atomic orbital depends upon the magnetic quantum number." - **Explanation:** The magnetic quantum number (ML) determines the orientation of the orbital in space. For instance, for a p orbital (L=1), the possible values for ML are -1, 0, and +1, which correspond to the three orientations of the p orbitals (px, py, pz). - **Conclusion:** This statement is **True**. 3. **Analyze Statement 3:** - **Statement:** "The energy of an electron in atomic orbitals of a multi-electron atom depends upon the principal quantum number only." - **Explanation:** For multi-electron atoms, the energy of an electron in an orbital depends on both the principal quantum number (n) and the azimuthal quantum number (L). The effective energy is determined by the n + l rule, where lower values of n + l correspond to lower energy levels. - **Conclusion:** This statement is **False**. 4. **Analyze Statement 4:** - **Statement:** "The number of degenerate orbitals of one type depends on the value of the azimuthal quantum number." - **Explanation:** The number of degenerate orbitals is given by the formula 2L + 1. For example, for p orbitals (L=1), the number of degenerate orbitals is 2(1) + 1 = 3. This shows that the number of degenerate orbitals indeed depends on the azimuthal quantum number. - **Conclusion:** This statement is **True**. ### Final Conclusion: The correct statements are: - **Statement 1:** True - **Statement 2:** True - **Statement 3:** False - **Statement 4:** True Thus, the correct statements are **1, 2, and 4**.
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