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Assertion : For l = 2, m(l) can be -2, -...

Assertion : For l = 2, `m_(l)` can be -2, -1, 0, +1 and +2.
Reason : For a given value of l, (2l + 1) values of `m_(l)` are possible.

A

Both assertion and reason are true and reason is the correct explanation of assertion.

B

Both assertion and reason are true but reason is not the correct explanation of assertion.

C

Assertion is true but reason is false.

D

Both assertion and reason are false.

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both the assertion and the reason provided. ### Step-by-Step Solution: 1. **Understanding the Assertion**: The assertion states that for \( l = 2 \), the magnetic quantum number \( m_l \) can take the values -2, -1, 0, +1, and +2. - The magnetic quantum number \( m_l \) can take values ranging from \(-l\) to \(+l\). - Therefore, for \( l = 2 \): \[ m_l = -2, -1, 0, +1, +2 \] - This gives us a total of 5 possible values for \( m_l \). 2. **Understanding the Reason**: The reason states that for a given value of \( l \), \( (2l + 1) \) values of \( m_l \) are possible. - To verify this, we can substitute \( l = 2 \) into the formula: \[ 2l + 1 = 2(2) + 1 = 4 + 1 = 5 \] - This confirms that there are indeed 5 possible values for \( m_l \) when \( l = 2 \). 3. **Conclusion**: - Both the assertion and the reason are correct. - The reason correctly explains why the assertion is true, as it provides the mathematical basis for the number of possible values of \( m_l \). ### Final Answer: Both assertion and reason are true, and the reason is the correct explanation of the assertion. Therefore, the correct option is **A**. ---
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