Physics, 06.12.2019 11:31 natu2072

Asingle slit diffraction pattern is formed on a distant screen. assuming the angles involved are small, by what factor will the width of the central bright spot on the screen change if (a) the wavelength is doubled, (b)the slit width is doubled, or (c) the distance from the slit to the screen is doubled?

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Answer from: emmalou14

The formula for the single slit diffraction (in the small angle approximation) is:

$y=\frac{n\lambda D}{d}$

where

y is the distance of the n-minimum from the centre of the screen (so, for n=1 it corresponds to half the width of the central maximum)

n is the order of the minimum

D is the distance between the slit and the screen

d is the width of the slit

$\lambda$ is the wavelength

So, the width of the central bright spot is equal to 2y when n=1:

$w=2y = \frac{2\lambda D}{d}$

using this formula, let's analyze the different situations:

(a) The width doubles

The initial width of the central bright spot is

$w= \frac{2\lambda D}{d}$

Here the wavelength is doubled, so

$\lambda' = 2\lambda$

Therefore, the new width of the central spot will be

$w'=\frac{2 \lambda' D}{d}=\frac{2(2\lambda) D}{d}=2(\frac{2\lambda D}{d})=2w$

so, the width has doubled.

(b) The width halves

The initial width of the central bright spot is

$w= \frac{2\lambda D}{d}$

Here the slit width is doubled, so

d'=2d

Therefore, the new width of the central spot will be

$w'=\frac{2 \lambda D}{d'}=\frac{2\lambda D}{2d}=\frac{1}{2}(\frac{2\lambda D}{d})=\frac{w}{2}$

so, the width has halved.

The initial width of the central bright spot is

$w= \frac{2\lambda D}{d}$

Here the distance from the slit to the screen is doubled, so

D' = 2 D

Therefore, the new width of the central spot will be

$w'=\frac{2 \lambda D'}{d}=\frac{2\lambda (2D)}{d}=2(\frac{2\lambda D}{d})=2w$

so, the width has doubled.

Answer from: Quest

quantum mechanics or quantum physics is physics of very small objects (particles) and physical entities.

quantum physics has some parallels to our macro world and some pretty unique ideas which theoretically and mathematically proven to be true even though we will never be able to access them because of our size.

there are many types of particles: subatomic, elementary etc.

subatomic means they are smaller than atom, elementary means they are at the very basis of everything.

subatomic particles are for eg. protons, neutrons but not electrons.

elementary particles are categorised into 3 groups by what they do.

these 3 groups are quarks, leptons and bosons.

light for example is a particle more precisely a photon a part of leptons.

proton (subatomic particle) is made out of 2 up quarks and 1 down quark each of these has a fractional charge like $\frac{1}{3}$ . (i crazy)

most famous scientist who contributed to this physics are:

max planckalbert einsteinerwin schrödingermany

the topic itself us understand a lot and will probably be vastly used in the future (quantum computers, understanding the big bang,

we also must not forget quantum effects like:

superposition (where 1 thing can be this and that at the same time),entanglement (where two particles are seemingly connected by some sort of unknown (or known) force, energy, matter (i know all that can be the same at least it was at the beginning)

and there is more. but probably too much for this answer to be consistent due to my average understanding of this topic.

hope this you understand quantum mechanics a little more. i'm not an expert in the topic (so don't be like wth if you are an expert) but i'm very interested in it.

anyways quantum physics is a very hard topic (harder than physics (perhaps)) therefore searching for every information there is about it and learning it is unfortunately impossible (you can only specialise into 1 - 3 things or more (perhaps

have fun and i wish you luck!

r3t40

Answer from: Quest

answer: you might love summer weather, but you don’t want it to feel like the sun is inside your car. but a hot car that just won’t seem to cool down might be a bigger of a problem than you think. your car relies on being at the right temperature.

explanation:

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