(a) What is the so called cosmic reionization process? (b) What are Lyα lines and why did the researches want to observe them?
(c) What do the authors intend to point out with Figure 1 (see article)?
(d) How is confirmed that the peaks seen in Figure 3 are actually from Lyα emissions?
(e) How are the bubble sizes of the galaxies estimated?
(f) What is special about the findings in the article and what are the scientific implications?

Ihope you find the answer

This is the answer of your question

Answer: a charge of -1.0  × 10⁻⁴ c must be placed  at x = 26 m.the sign of the charge will be the same sign as the  -4.0  µc charge.======electricstatic force between two point charges  is given by    where k is coulomb's constant,  8.99×10⁹  n·m²/c², q₁ and q₂ are the point charges, and r is the distance between the two point charges.assign positive to q₁let q₁ =  6.0 µc, q₂ = -4.0  µc, q₀ represent the charge at the origin, and q₃ represent this new charge to place.the charge at the origin q₀ would experience the following force f₀₁ from q₁, with r = 6.0 m (note that 1  µc = 10⁻⁶ c)    the force from q₂    the force from q₃    the net force on the origin charge, q₀, has to be zero for no electrostatic forcehaving an equation where k and q₀ can be divided out of the equation will allow us to solve for q₃    isolating:     a charge of -1.0  × 10⁻⁴ c must be placed  at x = 26 m.the sign of the charge will be the same as the  -4.0  µc charge

It is the areas with lines. this may sound a little confusing, but i hope it !