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Structure of Atom question

2023 · Q107
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Structure of Atom question

2023 · Q107

NEETChemistryStructure of AtomMCQ+4 / −1

The relation between nm,(nm=\mathrm{n}_{\mathrm{m}},\left(\mathrm{n}_{\mathrm{m}}=\right.nm​,(nm​= the number of permissible values of magnetic quantum number (m)(\mathrm{m})(m)) for a given value of azimuthal quantum number (l)(l)(l), is

  1. A
    l=2nm+1l=2 \mathrm{n}_{\mathrm{m}}+1l=2nm​+1
  2. B
    nm=2l2+1\mathrm{n}_{\mathrm{m}}=2 l^{2}+1nm​=2l2+1
  3. C
    nm=l+2\mathrm{n}_{\mathrm{m}}=l+2nm​=l+2
  4. D
    l=nm−12l=\frac{\mathrm{n}_{\mathrm{m}}-1}{2}l=2nm​−1​
View written solutionFree

Correct answer: D

Sol. Number of permissible values of magnetic quantum number for a given value of azimuthal quantum $(l)$

$$\Rightarrow \mathrm{n}_{\mathrm{m}}=2 \ell+1$$

$$\Rightarrow \ell=\frac{\mathrm{n}_{m}-1}{2}$$

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