Homework Statement
A certain die is weighted such that probabilities of showing a 1, 2, 3, 4, 5, and 6 are
(6/34),
(8/34),
(5/34),
(3/34),
(8/34),
and
(4/34)
A) If two such dice are thrown, and you are told that the sum of the two is 10 or larger. What is the probability that the...
Homework Statement
You will recall from our discussion of the Franck-Hertz experiment that the energy difference between the first excited state of mercury and the ground state is 4.86 eV. If a sample of mercury vaporized in a flame contains 1.06×1020 atoms in thermal equilibrium at 1563 K...
I included what was asked for in the title, but forgot to include it in the question. It's asking for the wave velocity, frequency, and period.
I accounted for the finger being lifted off by making the wavelength twice the interval between the finger and the origin. Is that not right?
Homework Statement
A musician frets a guitar string of length 1.5 m at x = 0.34 m with one finger, and simultaneously plucks the string at x = 0.17 m with another finger (raising it to a height h = 2.1 mm. Both fingers are simultaneously removed from the string, and it is allowed to vibrate...
I'm not sure how I messed that up, but I totally didn't use that equation.
What I actually did was solve for lambda and then used the equation
N_{0} = \frac{R_0}{\lambda}
and got N to be 2.418, but that's wrong
Homework Statement
The half life of a particular isotope is 10.84 days. Find the number of atoms of this isotope that would be necessary to produce a sample with an activity of 1.79 micro-Ci.
Homework Equations
R=N_{0} \lambda e^{-\lambda t}
where R is the decay rate
lambda is the decay...
And I figured out the summations from just looking at these in terms of n:
a_{n} = \sum\frac{(-1)^{n}2}{n\pi}
b_{n} = \sum\frac{-2}{\frac{n}{2}\pi}
and then to get rid of the 0s I made it in terms of m:
a_{m} = \sum\frac{(-1)^{m}2}{(2m-1)\pi}
b_{m} = \sum\frac{-2}{\frac{4m-2}{2}\pi}
The...
Homework Statement
I'm trying to find a Fourier series for the piecewise function where f(x)=
0 \in -\pi \leq x \leq 0
-1 \in 0 \leq x \leq \frac{\pi}{2}
1 \in \frac{\pi}{2} \leq x \leq \pi
Homework Equations
a_{n} = \frac{1}{\pi} \int_{0}^{2\pi}\cos(nx)y(x)\,dx
b_{n} = \frac{1}{\pi}...
Ah right good catch. I tried that and got 3.3*10^8 T, but that was wrong too.
i did E = \frac{hc}{\lambda}
where \lambda is .065 nm
than divided by \mu_B
Homework Statement
The magnetic field in a Stern-Gerlach experiment varies along the vertical direction so that the magnetic field increases by 26.00 T each centimeter. The horizontal length of the magnet is 7.1 cm, and the speed of the silver atoms is 922 m/s. The mass of the silver atom is...