According to qauntum mechanical model of H-like species, and electron can be represented by a wave function `(psi)` which contain all dynamic information about the electron. The nature of wave function depends on the type of the orbital to which the electron belongs. For an orbital `psi=[sqrt(2)/(81sqrt(3pi))]((1)/(a_(0)))^(3//2)(27-18sigma+2sigma^(2))e^((sigma)/(3))` Where, `sigma =((Zr)/(a_(0))),r` = radial distance from nucleous, `a_(0)=52.9"pm"` The number of radial and angular nodes possible for the orbital given above are respectivelyA. zero,zeroB. `0,2`C. `2,0`D. `2,1`

According to qauntum mechanical model of H-like species, and electron

1.	According to qauntum mechanical model of H-like species, and electron can be represented by a wave function `(psi)` which contain all dynamic information about the electron. The nature of wave function depends on the type of the orbital to which the electron belongs. For an orbital `psi=[sqrt(2)/(81sqrt(3pi))]((1)/(a_(0)))^(3//2)(27-18sigma+2sigma^(2))e^((sigma)/(3))` Where, `sigma =((Zr)/(a_(0))),r` = radial distance from nucleous, `a_(0)=52.9"pm"` The number of radial and angular nodes possible for the orbital given above are respectivelyA. zero,zeroB. `0,2`C. `2,0`D. `2,1`
Answer» Correct Answer - C For `r=0`, if `psi(r )ne0` implies given function represents an s-orbital. From the given function total number of radial nodes obtained are `2`.

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