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

Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion

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Assertion is correct but Reason is incorrect

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Both Assertion and Reason are incorrect

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Solution

The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
For a given value of Azimuthal quantum number (l), the possible value of magnetic quantum number ( $m_{l}$ ) are from $+ l t o 0 t o - l$ .
Therefore for l=2, $m_{l}$ can be $- 2, - 1, 0, + 1, + 2$ i.e. a total of $2 l + 1$ values of $m_{l}$ are possible.
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion

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