Answer:
9.4 x 10⁴ m/s
Explanation:
In circular or elliptical orbits , the angular momentum is conserved because torque is zero.
mr₁v₁ = mr₂v₂
2.2 x 10¹¹ x 1.8 x 10⁴ = 4.2 x 10¹⁰ v₂
v₂ = 9.42 x 10⁴ m/s.
= 9.4 x 10⁴ m/s
Since the acceleration is uniform, we can calculate it from the data we are given:
a = (vf - vi)/2
where vf=33 m/s and vi=11 m/s
Then use Suvat's equation:
x(t) = vi*t + 0.5 * a * t
where t=20s
Frequency= velocity of light/wave length
Fr= 3×10^8/510×10^-9
Frequwency=5.88×10^14 Hz
The water cycle is the process when water circulates from the oceans on the Earth, the atmosphere, land, this also involves rainfall and snow, sewers in rivers and streams, and then it returns to the atmosphere by evaporation and transpiration. Humans impact the water cycle by irrigation, urbanization, deforestation, and storing water in reservoirs.
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]