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NEET CHEMISTRYEasy

The relation between nmn_m (nmn_m = number of permissible values of magnetic quantum number, mlm_l) for a given value of azimuthal quantum number (ll) is:

A

nm=l+2n_m = l + 2

B

l=nm12l = \frac{n_m - 1}{2}

C

l=2nm+1l = 2n_m + 1

D

nm=2l2+1n_m = 2l^2 + 1

Step-by-Step Solution

According to the NCERT text, for a given value of the azimuthal quantum number (ll), the magnetic orbital quantum number (mlm_l) can have (2l+1)(2l + 1) values (ranging from l-l to +l+l).

Let nmn_m be the number of permissible values of mlm_l. nm=2l+1n_m = 2l + 1

To find the relation for ll, we rearrange the equation: nm1=2ln_m - 1 = 2l l=nm12l = \frac{n_m - 1}{2}

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