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JEE Advanced 2017 Paper 1

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Answer Q.31, Q.32 and Q.33 by appropriately matching the information given in the three columns of the following table
The wave function, ψn,l,ml s a mathematical function whose value depends upon spherical polar coordinates (r,θ,ϕ) ofthe electron and characterized by the quantum numbers n,l and ml Here r is distance from nucleus, θ is colatitude and ϕ is azimuth. In the mathematical functions given in the Table, Z is atomic number and a0 is Bohr radius
Column 1Column 2Column 3
(I) 1s orbital(i) ψn,l,ml∝(
Z
a0
)
3
2
e−(
zx
a0
)
(II) 2s orbital(ii) One radial node(Q) Probability density at nucleus ∝
1
a03
(III) 2pz orbital(iii) ψn,l,ml∝(
Z
a0
)
3
2
re−(
zx
a0
)cosθ 		(R) Probability density is maximum at nucleus
(IV) 3dz2 orbital(iv) xy-plane is a nodal plane (S) Energy needed to excite electron from n = 2 state to n = 4 state is 27/32 times the energy needed to excite electron from n = 2 state to n = 6 state

The correct matching in column 1, column 2 and column 3 are
Column 1Column 2Column 3
(I)(i)(Q)(R)(S)
(II)(ii)(P) (Q) (R) (S)
(III)(iii) (iv)(S)
(IV)-(Q) (S)
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