Quantum Mechanics Answers

b) How velocity of a particle can be defined in Quantum mechanics? Derive a relation for it. What information can be obtained from this velocity about momentum operator of the particle?

. Calculate the power conversion efficiency and maximum power (Pmax ) drawn from

a Si solar cell illuminated by sun light of intensity 100 mW/cm2 when Voc=0.7 V, Isc=3.5 A and 

FF=0.7. What is the ideal value of Pmax for solar cell

The nuclei of the O2molecule are separated by 1.20 × 10–10m. The mass of each oxygen atom in the molecule is 2.66 × 10–26kg. (a) Determine the rotational energies of an oxygen molecule in electron volts for the levels corresponding to J = 0, 1, and 2.(b) The effective force constant k between the atoms in the oxygen molecule is 1177 N/m. Determine the vibrational energies (in electron volts) corresponding to v = 0, 1, and 2.

a particle is located in a two dimensional square potential well with absolutely, impenetrable walls (0‹x‹l, 0‹y‹l). find the probability of finding the particle within a region 0‹x‹l/3, 0‹y‹l/3 with lowest energy.

An automobile whose speed is increasing at a rate of 0.6 m/s2

 travels along a circular road of

radius 20 m. When the instantaneous speed of the automobile is 4 m/s, find (a) the tangential

acceleration component, (b) the centripetal acceleration component

i) A box is divided into 9 equal sized compartments. A ball thrown in the box is equally likely to go into any one of these compartments. If 9 balls are thrown, calculate the probability for a particular compartments to contain (i) one particular ball only (ii) all the nine balls (iii) one of the balls.

Problem #6-15 PTS many identical particles

Consider a one-dimensional infinite square well of width w= 1 cm with free electrons in it.

if the Fermi energy is 2ev, what is the number of electrons inside the well?

1. The largest moon of Saturn, Titian has a mean orbital radius of 9 1.22×10 m . The orbital period of Titan is 15.95 days. Hyperion, another moon of Saturn, orbits at a mean radius of 9 1.48×10 m . Use Kepler’s third law of planetary motion to predict the orbital period of Hyperion in hours.