1
IIT-JEE 2010 Paper 2 Offline
MCQ (Single Correct Answer)
+2
-0.5
The hydrogen like species Li2+ is in a spherically symmetric state S1 with one radial node. Upon absorbing light the ion undergoes transition to a state S2. The state S2 has one radial node and its energy is equal to the ground state energy of the hydrogen atom.

The orbital angular momentum quantum number of the state S2 is
A
0
B
1
C
2
D
3
2
IIT-JEE 2008 Paper 2 Offline
MCQ (Single Correct Answer)
+4
-1

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 $$\times$$ 4 matrix given in the ORS.

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

A
(A) $$\to$$ q,r; (B) $$\to$$ p,q,r; (C) $$\to$$ p,q,r; (D) $$\to$$ q,r;
B
(A) $$\to$$ q,r; (B) $$\to$$ p,q,r,s; (C) $$\to$$ p,q; (D) $$\to$$ s,r;
C
(A) $$\to$$ r,s; (B) $$\to$$ p,q,r; (C) $$\to$$ p,q,r; (D) $$\to$$ p,q;
D
(A) $$\to$$ q,r; (B) $$\to$$ p,q,r,s; (C) $$\to$$ p,q,r; (D) $$\to$$ p,q;
3
IIT-JEE 2008 Paper 1 Offline
MCQ (Single Correct Answer)
+3
-1
STATEMENT - 1 : The plot of atomic number (y-axis) versus number of neutrons (x-axis) for stable nuclei shows a curvature towards x-axis from the line of 45o slope as the atomic number is increased.


STATEMENT - 2 : Proton-proton electrostatic repulsions begin to overcome attractive forces involving protons and neutrons in heavier nuclides
A
Statement - 1 is True, Statement - 2 is True; Statement - 2 is a correct explanation for Statement - 1
B
Statement - 1 is True, Statement - 2 is True; Statement - 2 is NOT a correct explanation for Statement - 1
C
Statement - 1 is true, Statement - 2 is False
D
Statement - 1 is False, Statement - 2 is True
4
IIT-JEE 2006
MCQ (Single Correct Answer)
+6
-1.5
According to Bohr's theory
En = Total energy, Kn = Kinetic Energy, Vn = Potential Energy, rn = Radius of nth orbit
Match the following

Column I

(A) Vn/Kn = ?
(B) If radius of nth orbit $$ \propto E_n^x,x = ?$$
(C) Angular momentum in lowest orbital
(D) $${1 \over {{r_n}}} \propto {Z^y},y = ?$$

Column II

(p) 0
(q) -1
(r) -2
(s) 1
A
(A) $$\to$$ r, (B) $$\to$$ p, (C) $$\to$$ q, (D) $$\to$$ s
B
(A) $$\to$$ r, (B) $$\to$$ q, (C) $$\to$$ p, (D) $$\to$$ s
C
(A) $$\to$$ s, (B) $$\to$$ p, (C) $$\to$$ q, (D) $$\to$$ r
D
(A) $$\to$$ p, (B) $$\to$$ r, (C) $$\to$$ q, (D) $$\to$$ s
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