81.

82.

83.

84,

85,

86.

87.

88,

89.

90.

91.

92,

What is the dimension of the normalized wave function representing a particle in an one
dimensional box of length 1?

(A) ൧ (B) (012 (C) dimensionless (D) 2
According to Dulong and Petit law, the heat capacity at constant volume of monatomic solids is
(A) ൭ (B) 3೩ (©) SRT (D) 3RT

Which function among the following is an odd function ?
14 2
(A) [+] (8) 8 eo (© = sin | (0) வயு

What is the expectation value of position operator for the ground state wave function of
simple Harmonic oscillator ?

(A) 0 (B) = (0) ¢ (>) ५

Calculate the degeneracy of the energy level a

+ for particle in a three-dimensional

cubic box of length a.

(A) (B) 3 (C) 6 (D) 9
The partition function of a two-level system with a non-degenerate state (at an energy 0)
and an upper doubly degenerate state (with an energy ಆ) is

(ಸ) q=ePelt € 952 (8) ५= 1 + €#€

(C) 07113201 (0) १52७6 + ‏عقن‎
‎If N, V, E, T, பூ represent the composition, volume, energy, temperature and chemical
potential of a thermodynamic system, then a canonical ensemble will have

(A) പ്‌, V, E are common. (8) പ്‌, V,E, T are common.

(C) N,V, T are common. மி ‏ہم‎ ,۷۰, T are common.

What are the relative populations of the states of a two-level system when the
temperature is infinite ?

(A) 0 (B) 0.5 (©) 1.0 (D) 2.0
What is the residual entropy of carbon monoxide ?
(A) + (8) ೫೫೦) (€) 2RIn(2) (D) 058/0)
How many significant figures does each of the following numbers (0.0523 and 900.0) have ?
(A) 5 2 (B) 48062 (C) 4and3 (D) 3and4
Identify a pair of noble gas fluoride, which has the ability to convert metallic mercury 0 HgF, ?
(ಸಿ) XeF, and XeF, (B) KrF, and XeF,
(0) XeF, and XeF, (2) XeF,, XeF, and XeF,

നല show a slight compression in bond length of Ti-Cl due to Jahn-Teller effect.
Two absorption peaks in electronic spectrum arise because of the transition from the
(A) Ground state (8,,) to excited states (28 ‏پر‎ and 241)
(B) Ground state CE,) to excited states ட and 241)
(C) Ground state (७) to excited states CE, and 24.18)
(D) Ground state CT 4) to excited state CE,)

020/2021 ` 14 ↽∆