The arrangement of orbitals on the basis of energy is based upon their $(n + l)$ value. Lower the value of $(n + l)$,lower is the energy. For orbitals having same values of $(n + l)$,the orbital with lower value of $n$ will have lower energy.
$(I)$ Based upon the above information,arrange the following orbitals in the increasing order of energy.
$(a)$ $1s, 2s, 3s, 2p$
$(b)$ $4s, 3s, 3p, 4d$
$(c)$ $5p, 4d, 5d, 4f, 6s$
$(d)$ $5f, 6d, 7s, 7p$
$(II)$ Based upon the above information,solve the questions given below:
$(a)$ Which of the following orbitals has the lowest energy? $4d, 4f, 5s, 5p$
$(b)$ Which of the following orbitals has the highest energy? $5p, 5d, 5f, 6s, 6p$

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(A) $(I)$ $(a)$ $1s < 2s < 2p < 3s$ (Energy values: $1s(1+0=1), 2s(2+0=2), 2p(2+1=3), 3s(3+0=3)$)
$(b)$ $3s < 3p < 4s < 4d$ (Energy values: $3s(3+0=3), 3p(3+1=4), 4s(4+0=4), 4d(4+2=6)$)
$(c)$ $4d < 5p < 6s < 4f < 5d$ (Energy values: $4d(4+2=6), 5p(5+1=6), 6s(6+0=6), 4f(4+3=7), 5d(5+2=7)$)
$(d)$ $7s < 5f < 6d < 7p$ (Energy values: $7s(7+0=7), 5f(5+3=8), 6d(6+2=8), 7p(7+1=8)$)
$(II)$ $(a)$ $5s$ (Energy values: $4d(6), 4f(7), 5s(5), 5p(6)$)
$(b)$ $6p$ (Energy values: $5p(6), 5d(7), 5f(8), 6s(6), 6p(7)$)

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