Hey, I think I have the correct method now:
As,
$$z = \frac{1}{2}\frac{Eq}{m}t^2$$
And the time would be the same as one pitch (T), then,
$$z = \frac{1}{2}\frac{Eq}{m}T^2$$
With substituion,
$$z = \frac{1}{2}\frac{Eq}{m}{(\frac{2m\pi}{bq})}^2$$
For part (c), 3 revolutions would be...
Yeah, sorry didn't double check.
Question (b) asks to find the position of the proton along the z direction.
Does this mean at ##t = 0##? If so the equations found for velocity and accerlation on the z plane do not work? As I can't think of a way to avoid having both unkown variables of time...
The motion of the proton in the z direction would be due to the electric field applying a linear acceleration?
So you could say the velocity in the z direction is:
$$v_z = u_z + at$$
So,
$$v_z = at $$
But as ##a = \frac{Eq}{m}##, then,
$$v_z = \frac{Eq}{m}t$$
Displacement could be found...
Hello all,
I have a question with the helix path of proton in a magnetic field that I am a bit stuck on.
Question:
Equations:
F = qv X B
F = mv^2/r
d=vt
My Attempt:
Think the graph drawn is good enough for questions (a). However, I am stuck on (b) and (c).
Firstly I am not entirely sure...
Hello,
Thanks for replying.
In the pi meson frame then distribution of momentum would be 1/2 for each photon. Does this imply the energy of one of the photons in the lab reference frame would be E' = γE ?
And then with de Broglie's wave-particle duality: λ = h / p , so, λ = hc/E for each...
Homework Statement
Homework Equations
(1) E2 = p2c2 + m02c4
(2) E = γm0c2
(3) E = Eγ1 - Eγ2
(4) p = E / c
(5) E = hf
(6) λ = c / f
The Attempt at a Solution
a) Using eqn (1), rearranged p = (E - m0c2) / c , I obtained 2.9 MeV c-1. Not sure if I have the right answer here as I...
Yeah, the error in angle measurements is quite small. I think I will stick with sum of uncertainty in quadrature like you suggested and then talk it over with my lecturer. Thank you for your help.
Homework Statement
I need to calculate the error of an average value (N for diffraction grating).
My results were 4 different average angles. With which I calculated their uncertainty using std.
Using equation (1), I found the number of lines per meter (N) with a known wavelength (λ) and the...
From question a) and using eqn (1) I obtained an answer in degrees and then converted to radian. I am assuming then that Φ has to be in radian? Then as eqn (3) is derived from eqn (1), the calculator should be in radian?
Thanks again.
Hey,
There are different values for degrees and radian. Radian gives 3.2 * 10-4. Which is more realistic for distance between slits.
I never thought about radian or degree for inverse. I assumed either was ok. Could you explain why you have to use radian here for inverse cosine?
Many thanks.
Ah, thank you yeah.
So,
Using eqn (3),
y = λ*R*cos-1(sqrt (I/I0)) / π*d
Which with I/I0 = 1/2 , I get 18 mm for y.
If that looks alright, thanks again for your help BvU.
Homework Statement
Homework Equations
(1) Φ = 2π*(dsinθ/λ)
(2) Itotal = I0 cos2(Φ/2)
(3) Itotal = I0 cos2(πdy/λR)
λ = 585 * 10-9 m
R = 0.700 m
d = 0.320 * 10-3 m
y = ?
The Attempt at a Solution
a) I used eqn (1) and divided the total oscillations by a complete oscillation to find the...
I think its good now. As the numerator is divided by cos(θ), you get sec(θ). Then as the denominator is divided by cos(θ), you get 1-μ.tan(θ). Thank you for your help.
Thank you, yes I have it as greater than now.