Assertion (A) :Angular momentum of `1s,2s,3s,` ets all have spectrical shape
Reason (R ) : `1s,2s,3s,` ets all have spherical shape

Options

A. If both (A) and (R ) correct and (R ) is the correct explanation for (A)
B. If both (A) and (R ) correct and (R ) is the correct explanation for (A)
C. If (A) is correct but (R ) is incorrect
D. If (A) is incorrect but (R ) is correct

Explanation

To analyze the given assertion and reason, we can follow these steps:

### Step 1: Understand the Assertion
The assertion states that the angular momentum of the `1s`, `2s`, `3s`, etc., orbitals all have a spherical shape.

### Step 2: Understand the Reason
The reason states that `1s`, `2s`, `3s`, etc., orbitals all have a spherical shape.

### Step 3: Analyze the Angular Momentum
Angular momentum (L) for an orbital is given by the formula:
\[ L = \sqrt{l(l + 1)} \cdot \frac{h}{2\pi} \]
where \( l \) is the azimuthal quantum number. For `s` orbitals (1s, 2s, 3s), the value of \( l \) is 0. Thus:
- For 1s: \( l = 0 \)
- For 2s: \( l = 0 \)
- For 3s: \( l = 0 \)

Since \( l \) is the same for all `s` orbitals, their angular momentum is the same.

### Step 4: Analyze the Shape of Orbitals
The shape of `s` orbitals is spherical. This means that regardless of the principal quantum number (n), all `s` orbitals (1s, 2s, 3s) have a spherical shape.

### Step 5: Conclusion
Both the assertion and the reason are correct:
- The assertion is correct because the angular momentum for `1s`, `2s`, `3s` is indeed the same due to the same azimuthal quantum number.
- The reason is also correct as all `s` orbitals are spherical in shape.

Thus, the correct answer is that both the assertion (A) and reason (R) are correct, and R is the correct explanation for A.

### Final Answer:
Both Assertion (A) and Reason (R) are correct, and R is the correct explanation for A.

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