Derive the expression for the time averaged heating in the metal
in which AC current of...
Derive the expression for the time averaged heating in the metal
in which AC current of frequency ω flows – use the expression for
the AC conductivity and P= ⋅EJ relation for instant power
Derive the expression for the scattering cross-section &
extinction cross-section for a metal nanosphere (a/lambda <
0.1)?
This problem comes from the topic of Localized Surface
Plasmons
"The expression of current through a metal is given by I =
nqvdA, if the temperature increases what happen?"
I decreases
I increases
I remains same
n changes
What is the unit of Potential difference (V) times Current
(I)?
Energy
Torque
Power
Force
If the temperature of a metal increases the resistivity will
change
decrease
Increase
No change
VV
In a parallel connection of resistance the voltage will be
Increase
Decrease
Split
Same
From first principles, derive the expression for the measurement
of time as observed from a reference inertial frame S' moving at a
relativistic speed v in the x direction to another inertial frame
S
a. State the ampere circuital law
b. Derive expression for inductance of a Toroid?
c. Derive the set of Maxwell’s equations with
solutions in the integral form from the
fundamental laws of a good conductor?
d. Derive the expression for torque developed in a
rectangular closed circuit current (I) in a
uniform field?
Question
(a) Derive linear density expression for FCC [100] direction
and
(b) planar density expression for BCC (100) plane in terms of the
atomic radius R.
a) Derive an expression for the de Broglie wavelength of an
electron in the Bohr model of the hydrogen atom as a function of a0
and n.
b) Assume the uncertainty of the electron’s position is the
diameter of its Bohr orbit. Derive an expression for the minimum
uncertainty in electron’s velocity, (∆vn) as function of a0 and n
(and other constants).
c) Use quantization of angular momentum to write an expression
for the velocity as a function of n,...
Derive an expression and numerical value for the distance of
closest approach of an alpha to a gold nucleus, when the impact
parameter is b=0 (i.e., a head-on collision). Use conservation of
energy, and take the alpha particle energy to be 6 MeV (1 MeV =
1.602E-13 J). How does this compare with the Bohr radius? Why the
difference, if any?