JEE Advanced (Matrix Match & Integer Answer): Structure of Atom | Chapter-wise Tests for JEE Main & Advanced PDF Download

Each question contains statements given in two columns, which have to be matched. The statements in Column-I are labelled A, B, C and D, while the statements in Column-II are labelled p, q, r, s and t. Any given statement in Column-I can have correct matching with ONE OR MORE statement(s) in Column-II. The appropriate bubbles corresponding to the answers to these questions have to be darkened as illustrated in the following example :

If the correct matches are A-p, s and t; B-q and r; C-p and q; and D-s then the correct darkening of bubbles will look like the given.

Q.1. According to Bohr ’s theory, (2006 - 6M) E_n = Total energy, K_n = Kinetic energy, V_n = Potential energy, r_n = Radius of nth orbit Match the following :

Ans. Sol. (A) - (r); (B) - (q); (C) - (p); (D) - (s)

where         ∴ (i) – (c)

(ii)                 ∴ (ii)-(b)

(iii) Angular momentum of electron in lowest (1s) orbital

           ∴ (iii) (a )

(iv)              ∴ (iv)- (d)

Q.2. Match the entries in Column I with the correctly related quantum number(s) in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 × 4 matrix given in the ORS   (2008 - 6M) 

Column I                                                                                     Column II
 (A) Orbital angular momentum  of the electron in a              (p) Principal quantum number hydrogen-like atomic orbital
 (B) A hydrogen-like one-electron wave function                   (q) Azimuthal quantum number obeying Pauli principle
 (C) Shape, size and orientation of hydrogen- like                 (r) Magnetic quantum number atomic orbitals
 (D) Probability density of electron at the nucleus                 (s) Electron spin quantum number in hydrogen-like atom

Ans. Sol. A-q,r;  B-p,q,r,s;  C-p, q, r;  D-p, q