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Problem 4.
Mechanics
Gravitational Law
Recall the famous inverse square law determined almost half a millennium ago,
where
.
The ratio of two inverse- square forc

Solutions for class #12 from Yosumism website
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Problem 13:
Thermodynamics Heat
Given
for heat,
W and
for water, one can chunk out the specific heat equation
, as in choice (B).
YOUR NOTES:
Problem 14:
Thermod

Solutions for class #6 from Yosumism website
Problem 48:
Lab Methods Uncertainty
The general equation for uncertainty is given by
generalized standard deviation of quantity .
, where
So, for this case, one has
and thus its uncertainty is given by
(Basical

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Problem 41:
Atomic Spectroscopic Notations
Recall the selection rules
dependent perturbation theory.
(A) This is allowed since
for the electric dipole approximation in time-
a

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Problem 20:
Optics Missing Fringes
Missing fringes in a double-slit interference experiment results when diffraction minima cancel
interference maxima.
From a bit

Solutions for class #15 from Yosumism website
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Problem 66:
Mechanics Effective Potential
One can solve this problem by remembering the effective potential curve
. For the gravitational potential, one has
The

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Problem 5:
Mechanics Centripetal Force
acts in the direction as shown and the centripetal acceleration acts in the direction of
Centripetal acceleration is a net

Solutions for class #16 from Yosumism website
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Problem 74:
Thermodynamics Entropy
Recall the definition of entropy to be
thus
.
. The heat is defined here as
, and
One is given two bodies of the same mass. On

Solutions for class #7 from Yosumism website
Problem 44:
Mechanics Lagrangians
The kinetic energy, in general, is given by
. The potential energy is just
. The Lagrangian is given by
.
Now, given the constraint
, one can differentiate it and plug it into

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Problem 15:
Statistical Mechanics Heat Capacity
Note that this problem wants the regime of high temperatures, and thus the answer is not
classical thermodynamics,

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Problem 8
Mechanics Damped Oscillations
One should remember that damped oscillations have decreasing amplitude according to an
exponential envelope. As the ampli

Solutions for class #2 from Yosumism website
Problem 2:
Atomic
Bragg Diffraction
Recall the Bragg Diffraction dispersion relation,
thus the maximal wavelength would be , choice (D). (One can derive that even if
one does not remember the formula. Consider