Home Maths JEE - Advanced Previous Year Paper JEE-Advanced-2017-Paper-1 SECTION 3 (Maximum Marks: 18) • This section…
Maths JEE - Advanced Previous Year Paper JEE-Advanced-2017-Paper-1 Single Correct MCQ
Published on: August 12, 2026

SECTION 3 (Maximum Marks: 18)

• This section contains SIX questions

• The section contains TWO tables (each having 3 columns and 4 rows)

• Based on each table, there are THREE questions

• Each question has FOUR options

The wave function  is a mathematical function whose value depends upon spherical polar coordinates  of the electron and characterized by the quantum numbers n,  and . Here r is distance from nucleus,  is colatitude and  is azimuth. In the mathematical functions given in the Table, Z is atomic number and a0 is Bohr radius.

Column 1

Column 2

Column 3

(I) 1s orbital

(i)

(P)

(II) 2s orbital

(ii) One radial node

(Q) Probability density at nucleus

(III) 2pz orbital

(iii)

(R) Probability density is maximum at nucleus

(IV) orbital

(iv) xy-plane is a nodal plane

(S) Energy needed to excite electron from n=2 state to n=4 state is times the energy needed to excite electron from n=2 state to n = 6 state

A
, (IV) (iv) (R) (II) (ii) (Q) (I) (iv) (R)
B
, (II) (ii) (P) (I) (i) (S) (I) (i) (P)
C
, and (III) (iii) (P) (I) (i) (R) (II) (i) (Q)
D
. ONLY ONE of these four options is correct • For each question, marks will be awarded in one of the following categories: Full Marks +3 If only the bubble corresponding to the correct option is darkened Zero Marks 0 If none of the bubbles is darkened Negative Marks - 1 In all other cases Answer Q. (i), Q. (ii) and Q. (iii) by appropriately matching the information given in the three columns of the following table. (i) For the given orbital in Column 1, the only CORRECT combination for any hydrogen-like species is (I) (ii) (S) (ii) For He + ion, the only INCORRECT combination is (I) (iii) (R) (iii) For hydrogen atom, the only CORRECT combination is (I) (i) (S)

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Text Solution

Verified by Experts
The correct answer is:
CHECK THE SOLUTION.

(i)

(ii)

Is orbital can not have function (angular function).

Therefore D is incorrect.

(iii)

For H-atom:

is times of

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