Which principle states that the net electrical force on a specific charge is equal to the sum of the vector components of the ch
2 answers:
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Answer:
Yes, it will produce a diffraction pattern.
a. 3.9 mm b. 1.95 mm
Explanation:
The light shined from a single slit will produce a diffraction pattern because, the wavefront act as wavelets which generates its own wave according to Huygens principle. This therefore causes the diffraction pattern.
Given
wavelength of green light, λ = 520 nm = 520 × 10⁻⁹ m = 5.20 × 10⁻⁷ m
width of slit, d = 0.440 mm = 0.44 × 10⁻³ m = 4.4 × 10⁻⁴ m
Distance of slit from central maximum , D = 1.65 m
Distance of first minimum from central maximum, y = ?
a. The relationship between the slit width and wavelength is given by [tex} dsinθ = mλ [/tex]where d = slit width, θ = angular distance from central maximum, λ = wavelength of light and m = ±1, ±2, ±3...
The relationship between y and D is given by
Since θ is small, sinθ ≈ θ ≈ tanθ
so, dθ = mλ ⇒ θ = mλ/d = y/D
Therefore, y = mλD/d
Now, for the first minimum above the slit, m = +1 and for the first minimum below the slit, m = -1. So, y₁ = λD/d and y₋₁ = -λD/d. So, the width of the central maximum Δy is the difference between the first minima below and above the central maximum. So, Δy = y₁ - y₋₁ = λD/d -(-λD/d) = 2λD/d
Substituting the values from above, Δy= 2 × 5.20 × 10⁻⁷ × 1.65/4.4 × 10⁻⁴ = 3900 × 10⁻⁶ m = 3.9 × 10⁻³ m = 3.9 mm
b. The first order fringe is the fringe located between the first minimum and the second minimum. From dsinθ = mλ and tanθ = y/D when θ is small, sinθ ≈ θ ≈ tanθ. So, y = mλD/d. Let m= 1 and m=2 be the first and second minima respectively. So,y₁ = λD/d and y₂ = 2λD/d. The difference Δy₁ = y₂ - y₁ is the width of the first order fringe. Therefore, Δy₁ = 2λD/d - λD/d= λD/d. Substituting the values from above, we have
λD/d= 5.20 × 10⁻⁷ × 1.65/4.4 × 10⁻⁴= 1.95 × 10⁻³ m = 1.95 mm
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This is why we can talk about lightyears. It's not a unit of time, but distance light travels in a year. We are now free to define distance as a unit of time because we have a way to convert them.
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This is the fundamental part to the Special Theory of Relativity (what you called the "FIRST" part of the theory) Here is where Einstein laid out the idea of spacetime and the idea that events (information) itself propagates at a fixed speed that, unlike light, does not slow down in any medium. The idea that what is happening "now" for you is not the same thing as what is "now" for distant observers or observers that are moving relative to you. It's also where he proposed of a conversion factor between space and time, which turned out to be the speed of light in vacuum.
This is why we can talk about lightyears. It's not a unit of time, but distance light travels in a year. We are now free to define distance as a unit of time because we have a way to convert them.
As it turns out light is not special in that it gets to travel faster than anything else. Firstly, other things travel that fast too (gravity and information to name two). But NO events or information can travel faster than this. Not because they are not allowed to beat light to the finish line---remember my claim that light has nothing to do with it. It's because this speed (called "c") converts space and time. A speed greater than c isn't unobtainable---it simply does not exist. Period. Just like I can't travel 10 meters without actually moving 10 meters, I cannot travel 10 meters without also "traveling" at least about 33 nanoseconds (about the time it takes light to get 10 meters) There is simply no way to get there in less time, anymore than there is a way to walk 10 meters by only walking 5.
We don't see this in our daily life because it is not obvious that space and time are intertwined this way. This is a result of our lives spent at such slow speeds relative to the things around us.
This is the fundamental part to the Special Theory of Relativity (what you called the "FIRST" part of the theory) Here is where Einstein laid out the idea of spacetime and the idea that events (information) itself propagates at a fixed speed that, unlike light, does not slow down in any medium. The idea that what is happening "now" for you is not the same thing as what is "now" for distant observers or observers that are moving relative to you. It's also where he proposed of a conversion factor between space and time, which turned out to be the speed of light in vacuum.