hi jbriggs444
The black carbons are inclusions that naturally exist in diamond.
http://www.allaboutgemstones.com/diamond_inclusions_carbon.html
From the photo, there are black inclusions that due to total internal reflection..
I have difficulties in finding the true black carbons in a diamond from an image.
Since diamond has a high refractive index of 2.42, it has a critical angle of 24 degrees such that total internal reflection can easily occur (total internal reflection causes fire in diamond) . Now I have...
Homework Statement
Consider a harmonic oscillator. It is in the ground state. Momentum is
measured and is found to be between 0.2 \sqrt{}m\omega hand 1.5 \sqrt{}m\omega h. (h here is h bar)
Energy is now immediately measured. What is the probability that the energy is
unchanged? You may...
Homework Statement
A mass m is connected to a spring of spring constant k. The equilibrium
position is x = 0 and the motion of the mass m is restricted by a stop such that
spring compression is not allowed, i.e., x < 0 is forbidden . The
system is in the ground state.
(a) The stop is...
Homework Statement
The van der Waals’ equation of state for one mole of gas is given by
(P+a/V2)(V-b)=RT
where V is the molar volume at temperature T, and a and b are constants. The internal energy of the gas is given by
E=(3/2)RT-a/V
Initially, one mole of the gas is at a temperature T1...
Hi i am doing self-study of number theory as it looks interesting and enlightening.
Can someone help because I encounter a problem here..
Suppose A = {a1,a1,,,,,,,ak} is a complete residue system modulo k. Prove that for each integer n and each nonnegative integer s there exists a congruence...
Homework Statement
Prove that a5 \equiva (mod 15) for every integer a.
Homework Equations
The Attempt at a Solution
I do not know how to show a5-a is divisible by 15
base representation please help~
It is known that if asks+as-1ks-1+...+a0 is a representation of n to the base k, then 0<n<=ks+1-1.
Now suppose n=asks+as-1ks-1+...+a0 and m=btkt+bt-1kt-1+...+b0 with as,bt not equal to 0, are two different representations of n and m to base k, respectively...
base representation please help~
It is known that if asks+as-1ks-1+...+a0 is a representation of n to the base k, then 0<n<=ks+1-1.
Now suppose n=asks+as-1ks-1+...+a0 and m=btkt+bt-1kt-1+...+b0 with as,bt not equal to 0, are two different representations of n and m to base k, respectively...