Classical Mechanics Answers

Explain how a linear monoatomic chain behaves as a low pass filter

Calculate the probability for an electron to be found at an energy of (EF + 2kBT)
in a metal

List the symmetries in an ethene (C2H4) molecule.

a lift starts falling due to its broken wire with a constant velocity of 8m/s . as safety measure the bottom has a 5m long spring on the ground and the lift stops 2 m above the ground by the spring.What is the spring constant of the spring?

A divalent bcc solid has a lattice constant of 4.5 Å. Calculate its Fermi energy

The molar heat capacity of Titanium at 25ºC is 26.06 J /mol/K

. Estimate its
Debye temperature.

The inter-atomic spacing of a linear 1D lattice of atoms of mass 8.0 ×10^-27 kg is
5.0 Å. The force constant is 3.0×10^-2 N/m
. Calculate the maximum frequency
which can be supported by this lattice

Show that five-fold rotational symmetry is not possible in a 2-D lattice

A metallic element has a density of 7.15 g cm-3
, a lattice constant of 2.880 Å and
an atomic weight of 51.9961 u. Predict the lattice crystal structure for this element

i) List the symmetries in an ethene (C2H4) molecule.
ii) Draw the (111) and (101) planes for a cubic unit cell.
iii) What are the advantages of the neutron diffraction method?
iv) Calculate the probability for an electron to be found at an energy of (EF + 2kBT)
in a metal.
v) Explain how a linear monoatomic chain behaves as a low pass filter.
vi) Explain with the help of a diagram the difference between a ferromagnet, an anti￾ferromagnet and a ferrite.
vii) How does the Fermi energy of n- and p- type semiconductors change with dopant
concentration?
viii) Is x-ray diffraction observed from the (111) and (211) planes in an fcc structure?
Explain.
ix) Distinguish between Type I and Type II superconductors.
x) What is the function of the quartz crystal used in a digital watch?