1. An Nd:YAG laser emits a pulse of 1064 nm radiation of average power 5 106 W and

duration 2 10-8

s. Find the number of photons emitted in this pulse. ( 1W = 1 J/s)

2. If the n=2 to n=3 transition for a certain particle in 1D box occurs at 4.51013

s-1

, find the

frequency of n=5 to n=8.

3. True or false:

The function 𝑥𝑒−𝑏𝑥2 can meet all requirments of a probability density function.

4. Calculate the de Broglie wavelength of an electron moving at 1/137 th

the speed of light.

(Neglect relativistic effects).

5. How many degenerate levels are possible in a square 2D box if nx = 2, ny =1 ?

6. 𝑒𝑖𝑘𝑥 is an eigen function of the momentum operator. What is the eigenvalue?

7. Consider the angular part of an orbital of H atom is 𝑌(𝑙,𝑚𝑙)(𝜃, 𝜑) = (3

4𝜋)

0.5

𝑐𝑜𝑠𝜃 .

Identify the angular nodal plane.

8. Calculate the term symbol of the ground state of the 𝐶𝑙 atom.

9. Calculate the work done on a closed system consisting of 50 g of argon, assumed ideal, when

it expands isothermally and reversibly from a volume of 5 L to a volume of 10 L at a temperature

of 298.15 K.

10. The thermal decomposition of a sample of solid KClO3 produces 0.345 mol of CO2 gas at a

constant temperature of 245 oC and a constant barometric pressure of 755 torr. Find the work

done on the atmosphere, assuming that CO2 is an ideal gas. Neglect the volume of the solid

KClO3 and the solid KCl that is produced.

11. Find the amount of heat put into 5 mol of argon (assumed ideal) in expanding reversibly and

isothermally at 298.15 K from a volume of 20 L to 100 L.

12. Find the entropy change of the system and of the surroundings if 3 mol of water freezes

reversibly at 1 atm. The specific enthalpy change of fusion is equal to 79.7 cal g-1 at this

temperature.

13. The half-life of 235U is equal to 7.1 x 108 years. Find the first-order rate constant and the

relaxation time.

14. Some of the damage to the ozone layer of the upper atmosphere might involve the reaction

NO+O3 = NO2 +O2. The reaction is first order in each reactant and the rate constant is equal to

1.3 x 106 L mol-1 s-1 at 298 K. If the initial concentrations of NO and O3 are both equal to

1x10-6 mol L-1, find the concentrations of NO and O3 at time t = 2.00 s.

15. The Arrhenius parameters of a reaction are A=5.01 x 1010 dm3 mol-1 s-1 and Ea=4.18 kJ

mol-1

. At what temperature will the reaction be two times faster than at 298K?

16. Assuming that the ionic character in H-Br bond is 20%. Calculate the fraction of the

contribution of the ionic character to the Valence Bond wave function.

17. The gas-phase reaction 2NO2 + O3 → N2O5 + O2 has the rate constant k = 2.0 x 104 dm

3 mol

-

1 s

-1 at 300 K. What is the order of this reaction?

18. For a bimolecular reaction, the product formation is

observed to follow the rate law = (k1k2

k−1)[A][B].

A +B ⇋ AB → C

k1

k-1

k2

Which of the following is true?

(A) k1>>k2>k-1 (B) k2>>k1> k-1 (C) k-1>>k2 (D) k2>>k-

19. NMR would have been an over expensive & useless technique for just observing spin

transitions for 1H unless

(A) there is concept of coupling

(B) there is concept of chemical shift

(C) there is FT NMR

(D) there is 2-D NMR

20. If the NMR spectrometer’s magnetic field is varied by +0.00001 T, what magnitude of

change (Δν) would be introduced in the resonance frequency of 1H nuclei at 5.87 T?

21. Among the followings, which is/are detectable by NMR? 1H,

13C,

12C,

14N

22. In the IR spectrum of CO there is an intense band at 2144 cm-1

. What is the value of the zero

point energy?

23. Among _________ vibrational degrees of freedom for CO2, _______________is not IR

active.

(A) Three, Symmetric stretching.

(B) Four, Symmetric stretching.

(C) Four, antiSymmetric stretching.

(D) Three, antiSymmetric stretching.

24. logk versus 1/T graph was plotted to calculate the activation energy of a reaction using

Arrhenius equation for the effect of temperature on reaction rate. If the slope of the straight line

was found to be -2.55 x 104, what is the activation energy of the reaction?