We have to find the formula to express the side length of the square s(in cm) in terms of the number of seconds t.
According to question
Taking integration on both sides then, we get
Substitute t=0 and s=0
Now, substitute the value of C then, we get
s(t)=7t
This is required formula that express the side length of the square s(in cm) in terms of the number of seconds t, since the square's side length began growing.
If we bring the charged sphere B close to, but not touching it , to the uncharged sphere A, as charges can move freely on the conductor, a charge -Q will be built on the outer surface of the sphere A, facing to sphere B.
As the sphere A must remain neutral, a charge Q will be built on the surface, on the side farther to the sphere B, as the following condition must be met:
Q +(-Q) =0.
If we now remove sphere B, and place it far away, there will be a charge redistribution within sphere A, making to disappear the separation between Q and -Q.
The total charge on sphere A must be 0, as there is no charge transfer from sphere B to sphere A.