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Answer:
r(b) = 2.45r
Explanation:
Parameters given:
Satellite A
Mass = m
Orbit radius = r
Satellite B
Mass = 6m
Orbit radius = r(b)
Gravitational force between Earth and Satellite A, F(A) is:
F(A) = (G*M*m)/r²
F(A) = GMm/r²
Gravitational force between Earth and Satellite B, F(B) is:
F(B) = (G*M*6m)/r(b)²
F(B) = 6GMm/r(b)²
Since F(A) = F(B),
GMm/r² = 6GMm/r(b)²
=> r(b)² = 6r²
r(b) = 2.45r
We use the formula,

Given,
and
.
Substituting these values, we get
.
As Jupiter were a perfect sphere, therefore the volume of sphere is given by

Here, r is the radius of sphere.
Substituting the value of volume we get
.
The diameter is twice of radius, thus the diameter of Jupiter would be

Answer:
Remember that as the temperature of an object increases, the kinetic energy of the particles inside it also increases.
So, if the temperature of a wire increases, the kinetic energy of the particles inside increases. Then when the electrons try to flow through the wire, the probability of a collision is increased (then the resistance increases). Thus, if the filament goes from red-hot to white-hot (so the temperature of the wire increases) we can conclude that the resistance that the current experiences also increases.
So no, we can not expect the resistance of the light bulb to remain constant as the filament goes from red-hot to white-hot.