Search & Filtering
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.
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.
Three packing crates of masses, M1 = 6 kg, M2 = 2 kg and M3 = 8 kg are connected by a light string of negligible mass that passes over the pulley as shown. Masses M1 and M3 lies on a 30o incline plane which slides down the plane. The coefficient of kinetic friction on the incline plane is 0.28. A. Draw a free body diagram of all the forces acting in the masses M1 and M2. [2 marks] B. Determine the tension in the string that connects M1 and M2.
A typical atomic nucleus is about 5.0 × 10−15𝑚 in radius. Use the
uncertainty principle to place a lower limit on the energy an electron must
have if it is to be part of a nucleus.[ans; 3.3 × 10−12𝐽]
II. A hydrogen atom is 5.3 × 10−11𝑚 in radius. Use the uncertainty principle
The operation that interchange all coordinates of the two particles called
Three packing crates of masses, M1 = 6 kg, M2 = 2 kg
and M3 = 8 kg are connected by a light string of
negligible mass that passes over the pulley as shown.
Masses M1 and M3 lies on a 30o incline plane which
slides down the plane. The coefficient of kinetic friction
on the incline plane is 0.28. Determine the tension in the string that connects m1 and m2
Light of frequency 6 × 1014 Hz incident on a metal surface ejects
photoelectrons with a maximum kinetic energy of 2 × 10–19 J. Calculate
the work function of the metal, giving your answer in eV.
