Question
Question: From the following observations predict the type of orbital: Observation 1: x y plane acts as nodal ...
From the following observations predict the type of orbital: Observation 1: x y plane acts as nodal plane Observation 2: The angular function of the orbital intersect the three axis at origin only. Observation 3: R²(r)v/sr curve is obtained for the orbital is

5p
6d
6d2-2
6 d
The question is flawed due to contradictory information. No single correct option can be definitively determined.
Solution
The question contains contradictory information.
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The radial probability distribution curve shows 5 peaks, implying n−l=5. None of the options (5p, 6d) satisfy this (n−l=4 for both).
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"x y plane acts as nodal plane" means the orbital wave function is zero at z=0. This is true for pz, dxz, and dyz orbitals. Options (B) 6dxy and (C) 6dx2−y2 do not have xy as a nodal plane. Option (A) 5pz would satisfy this condition.
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"The angular function of the orbital intersect the three axis at origin only" is ambiguous. If interpreted as axes being nodal lines, it fits dxy,dyz,dxz.
Due to these inconsistencies, a definitive answer cannot be determined from the given options and observations.