Can electromagnetic radiation escape from the event horizon of a Black Hole if the wavelength is long enough?
What if a Black Hole contains electric charge, hypothetically supposing we dumped a large number of protons into it? Electric charge is mediated by the electromagnetic force. So the...
I answered the first part of the question where I estimate the radius of ##O_{2}## is ##\approx 1.5 \times 10^{-10} \ \text{m}##:
$$ p = \frac{KT}{l 4 \pi r^{2}} = \frac{(20+273.15)(1.38\times 10^{-23})}{(0.1)(4\pi)(1.5 \times 10^{-10})^{2}} = 0.143 \ \text{Pa}.$$
The confusion arises on the...
I understand that electrons of a material have a natural frequency of vibration and the refractive index results from the phase difference between the incident light's field oscillations and the field oscillations of these electrons...
I tried using lamba = h/p as follows:
(6.626 * 10^-34 J *s) / (8 m.s * 0.6 kg) = 1.38041667*10^−34
and then using the small angle approximation sin(alpha) = lamba/d as follows:
(1.38041667*10^−34)/(0.6m) = 2.30069444 * 10^−34
then converting to radians with the following:
(2.30069444 *...
wavelength of string= 2*L
wavelength of string=2*0.70m= 1.4m
velocity of string= frequency * wavelength
velocity of string= 220Hz * 1.4m= 308 m/s
tension= (308m/s)^2 * 0.00196 kg/m =186N
Is the tension correct?
My answer on this question for now is that producing a waves in the medium is an event which is basically must be invariant in the any of frame of references. For an example: a brick is freely falling, then the brick suddenly splinted into two pieces — no matter from which frame will we observe...
Pretending the siren is at rest in air:
Wavelength = velocity/frequence --> (343 m/s) / 10,000 Hz = .0343m.
I don't believe this is the correct way to go about solving the problem, since the vehicle is moving at the start and the siren is not at rest.
So, I was working on autocorrelation for my pulse laser system and I started to wonder what is the difference between single wave with 400nm of wavelength and two 800nm waves overlapped.
In the knowledge, I know of, is that wavelength is the length between two picks.
And when it is pulse laser...
Homework Statement
In a physics lab, light with a wavelength λ0 travels in vacuum from a laser to a photocell in a time t1. When a slab of glass with a thickness d is placed in the light beam, with the beam incident along the normal to the parallel faces of the slab, it takes the light a time...
I come across this question in a text book. Somehow my result is way off from the solution answer. I used the energy formula for particle in a box with n(Initial) = 22 and n(End) = 23, the calculated box length is 732 pm. I arrived at an answer of 39.3 nm. The answer from the answer book is but...
Homework Statement
There's a bucket, filled about halfway with water. The water itself is completely still. A perfect sphere with mass m and volume v are given. The depth of the water, and the radius of the bucket (which may be considered perfectly cylindrical) are both given. In short, you...
Homework Statement
In your research lab, a very thin, flat piece of glass with refractive index 2.00 and uniform thickness covers the opening of a chamber that holds a gas sample. The refractive indexes of the gases on either side of the glass are very close to unity. To determine the thickness...
Hi all, the question is as follows:
1. Homework Statement
From the energy level diagram for OH in the study guide, it can be seen that the first rotationally
excited level of OH (2∏3=2 J =5\2) lies 120 K above the groundstate. What is the wavelength of radiation associated with a transition...
Homework Statement
An organ pipe 1.2m long and open at both ends produces a note with the fundamental frequency. If the speed of sound in air is 345 m/s, what is the fundamental frequency?
Homework Equations
Wave equation (f = v/lambda)
The Attempt at a Solution
My textbook solves the problem...
Homework Statement
Light of free-space wavelength λ0 = 0.87 μm is guided by a thin planar film of thickness d = 3.0 μm and refractive index n1 = 1.6, surrounded by a medium of refractive index n2 = 1.4
critical angle = 61.04°
n0 = 1.00
(a) Determine (i) the angle of incidence θ and (ii) the...
Hi all, I have two questions about light in Special Relativity. (I'm going to pad these questions out with a few statements about my understanding of length contraction and time dilation, so you can see how I currently think about it and clear up any misconceptions if I've got the basic idea...
Title says it all.
Also, if the frequency of electromagnetic radiation is limited, why? My guess is the wavelength is limited to the Planck length, and when I plug those numbers into the calculator, I get 1.855 * 10^43 Hz. The maximum (Edit: observed) frequency of a gamma ray is 3 * 10^20 Hz...
I am studying hailstones. I have set up an experiment to pass colored light through hail, one color at a time for the colors of the visible spectrum, Red, Orange, Yellow, Green, Blue, Indigo and Violet (ROYGBIV). I have measured the dominate wavelength for each color with a photo spectrometer...
If everything is made of atoms, and if atoms have so much empty space inside them - and if the building blocks of atoms are made up of wave-like particles that aren't solid (strictly speaking) - then why do cars crash and billiard balls bounce off each other, as opposed to passing through each...
Homework Statement
Suppose a double-slit experiment is immersed in water (with an index of refraction of 1.33). When in the water, what happens to the interference fringes?
Homework Equations
λ = λ0 / n
y = (λmL) / d
d = distance between slits
L = distance to viewing screen
n = index of...
Homework Statement
I'm a bit stuck on how to approach this problem.
A miniature spectrometer used for chemical analysis has a diffraction grating with 800 slits/mm set 25.0 mm in front of the detector "screen." The detector can barely distinguish two bright lines that are 30 μm apart in the...
Hi everyone,
I have a few questions about the composition of light:
First, what is it? Is white light the result of all color wavelengths present in an area?
Second, if so, then why is there no interference in waves of light (or is there)?
Third, if photons all travel at the same speed, then...
The velocity of light changes when it passes through a medium of a different refractive index. So let's suppose the light is traveling through a vacuum at a velocity c and then passes through a glass wall. Its velocity decreases while traveling through it but then speeds back up to c after...
Homework Statement
A beam of white light goes from air into water at an incident angle of 75 deg. What is the critical angle that the violet (410 nm) parts of the light is refracted?
Homework Equations
n1sin(θ1)=n2sin(θ2)
n=c/v
c=λf
The Attempt at a Solution
So sure, I get that the answer is...
I am in a chemistry class, and there was an in class example on how to do this type of problem, but then when I looked in the book, there wasn't an equation. the questions are related to what the wavelength will be when electrons are moving between orbitals.
Hey everyone hope you're doing well.
I've always been confused about one particular aspect of electromagnetic waves. I understand that each frequency has a corresponding wavelength that is inversely proportionate and that the wavelength is the distance between successive crests or troughs. But...
Homework Statement
1) find the wavelength of the sound of the tuning fork (cm)
2) what's the vertical distance x from the top of the pipe to the antinode above the pipe (cm)
3) find the frequency of the tuning fork (Hz)
Homework Equations
velocity = wavelength . frequency
for pipe closed at...
Homework Statement
The speed of light in a vacuum is 3.00x(10*8)m/s. Using the equation v=fxλ, calculate the frequency of red-light. (I was told to use the wavelengths given from textbook)
Wavelength/λ =700nm
v=300,000,000 <-- ( I need help understanding this. Is this a rate? Or?)
Homework...
This is something that has really been bugging me lately. There was a study from over twenty years ago that proposed that electromagnetic radiation might have been able to pass from one end of the universe to another in the early universe, furnishing an explanation for the homogeneity of the...