Hello!
I was trying to calculate the amplitude of the secondary maximums in the single slit diffraction.
When I use the formula:
$$ I = I_0 (\frac {sin(\Delta \phi /2)} {\Delta \phi /2})^2 $$
If I take ## x = \Delta \phi /2 ## and derivate I get that the maximum occurs when:
$$ x = tan(x) $$...
Consider that I have 2 adiabatic containers, one with a monoatomic gas at pressure P1, volume V1 and temperature T1 and another with pressure P2, volume V2, temperature T2. If I open a valvule and mix the two gases, how do I calculate the equilibrium pressure and temperature?
I know the final...
Thanks @Office_Shredder!
Now I understood the examples. Can we say that the square roots of 2 and 3 are the two smallest periods of the function?
Also, is there a continuous function like that?
No, I don’t want the lowest common multiple.
@DaveE I undertand that the definition of fundamental period is the smallest period. But that only makes sense if all the other periods are multiples of only one smallest period (maybe all the functions are like this, I don’t know). What about a...
Sorry by that misunderstanding. What I meant by two different fundamental periods was two periods that are not multiples of each other, such that, for each one, there is no period that is smaller than them.
For example, if we consider that we have a function that has fundamental periods 2 and...
The firstborn A+ of a mother O- can have ABO incompatibility, but it is not expected to have Rh incompatibility as she was not sensibilized before.
From Wikipedia: "In contrast to Rh disease, about half of the cases of ABO Hemolytic Disease occur in a firstborn baby and it does not become more...
Consider your function $$f(x)=\sum_{n=0}^\infty a_n(x)$$ where $$a_n(x)=\frac {sin(2^n x)}{2^n}$$
Take $$g(x)=\sum_{n=0}^\infty b_n(x)$$$$b_n(x)=a_n(x+2\pi)=\frac {sin(2^n x +2^n 2\pi)}{2^n}$$
We know that the sine function is periodic with period 2 pi $$sin(y+2k\pi)= sin(y)$$ So:
$$b_n(x)=\frac...
I was wondering why a Rh negative mom needs previous Rh sensibilization (either by previous transfusion or previous children Rh positive) to develop anti-Rh antibodies, but a O+ or O- mom is already expected to have anti-A/anti-B antibodies, even when she is having the first child?
Also, why is...
When we use the third Kepler law to calculate the period, distance and velocity of the Earth, we consider that the Sun is fixed. We know this is not true, because the Sun is also attracted by the Earth. I was wondering, how could we use Kepler laws to calculate the period, distance and velocity...
Thanks @Ibix!
$$\frac{1}{4\pi\epsilon_0}\frac{Qq}{r^2}=m\left(\frac{2\pi}T\right)^2r$$
$$ \frac {T^2} {r^3} = \frac {16{\pi}^3\epsilon_0 m}{Qq} $$
Actually, if you fully derivate Kepler's third law from Newton's equations (considering the big mass also moves), you don't get
$$ \frac {T^2}...
Thanks @Ibix!
I understood small charges would radiate very strongly in very high velocities.
I am just trying to understand if in a scenario where you neglect radiation (i.e. when we don't consider electrons, but big spherical methallic masses charged with low velocities ) the Kepler laws...