Given that the arc length is:
s = ∫ √[1² + (dy/dx)²] dx
<span>So arc length between the two points is then: </span>
<span>s = 2*20sinh(x/20)
= 40sinh(x/20) </span>
<span>The straight distance between the two points is : d = 2x </span>
<span>So, x = d/2.
= 40/2
= 20 m </span>
<span>Plug this into the arc length equation to get:
s = 40sinh[20/20)]
=40* ½ (e - 1/e) </span>
<span> = 47 m</span>
As per the question the charge of one coulomb is at 0 cm of the metre stick.the second charge of 4 coulomb is situated at at 100 cm of metre stick.
hence the separation distance between them is 100 cm.
now as per the question a proton is set up between them in such a way that the net force on it is zero
let the charge of proton is q coulomb let the proton is situated at distance of x cm from the charge 1 coulomb.hence it is situated at a distance of 100-x cm from the charge 4 coulomb.
the force exerted by 1 coulomb on proton is-
the force exerted by 4 coulomb on proton is-![\frac{1}{4\pi\epsilon} \frac{q*4}{[100-x]^2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%5Cpi%5Cepsilon%7D%20%5Cfrac%7Bq%2A4%7D%7B%5B100-x%5D%5E2%7D)
as the net force is zero,hence-

![=\frac{1}{4\pi\epsilon} \frac{4*q}{[100-x]^2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B4%5Cpi%5Cepsilon%7D%20%5Cfrac%7B4%2Aq%7D%7B%5B100-x%5D%5E2%7D)
![=\frac{1}{x^2} =\frac{4}{[100-x]^2}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7Bx%5E2%7D%20%3D%5Cfrac%7B4%7D%7B%5B100-x%5D%5E2%7D)
![x^2=\frac{[100-x[^2}{4}[/tex[tex]x=\frac{100-x}{2}](https://tex.z-dn.net/?f=x%5E2%3D%5Cfrac%7B%5B100-x%5B%5E2%7D%7B4%7D%5B%2Ftex%3C%2Fp%3E%3Cp%3E%5Btex%5Dx%3D%5Cfrac%7B100-x%7D%7B2%7D)


cm [ans]
We have that since 1.351ns>1.2 ns
1351 is the longer amount of time 1.2 ns
From the question we are told
The longer amount of time,
1351 ps or 1.2 ns
Generally the equation for the Pico second to Nano seconds is is mathematically given as
1 pico second=0.001 Nano second
Theretofore
1351 picosecond=1.351 nano second
Since
1.351ns > 1.2 ns
Hence
1351 is the longer amount of time 1.2 ns
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Answer:
180 degrees
Explanation:
if the waves are in phase this means that their frequency is doubled or amplitude is doubled
Answer:
Explanation:
The first diagram (by the left) is an endothermic reaction. In this reaction, the products are higher in energy than the reactants. Heat/Energy is absorbed in this reaction and enthalpy is positive. In second diagram (by the right) is an exothermic reaction. In this reaction, the reactants are higher in energy than the products. In this reaction, heat/energy is released.