question_answer 47)

An element has \[n=3\]. What are the possible values of \[l\] and\[{{m}_{l}}\]?

Answer:

Sol. n = 3 ...(i) \[l=0,1,2,........(n-1)\] \[\therefore \] \[l=0,1,2\] \[l=0;\,\,{{m}_{1}}=0\] \[l=1;\,\,{{m}_{1}}=-1,0,+1\] \[l=2;\,\,{{m}_{1}}=-2,-1,0,+1,+2\] (ii) List the quantum numbers (\[{{m}_{l}}\] and \[l\]) of electrons for 3d orbital. Sol: 3d: l = 2 for d-subshell \[m=-l,.....0.....+l\] \[=-2,-1,0,+1,+2\] (iii) Which of the following orbitals are possible? \[1p,2s,2p\] and \[3f\] Sol: 2s and \[2p\]-orbitals are possible while \[1p\] and \[3f\] orbitals are not possible.