The resistance of a wire is given by

where

is the resistivity of the material, L the length of the wire and A its cross-sectional area.
In the problem,

and L remain the same, while A changes because the radius changes. The area is given by:

This means that if we double the radius (2r), the area becomes

And therefore, the new value of the resistance is

So, when the radius is doubled, the resistance becomes

of its original value.
There are many things in this feeble world that our species are incapable of comprehending such as what lies beyond our galaxy
what is the meaning of life
and most importantly why doesnt my dad love me
Answer:
The acceleration of the elevator machine is, a = 3 m/s²
Explanation:
Given data,
The mass on the one end, m = 5 kg
The mass on the other end, M = 10 kg
According to the Atwood's machine
Ma = Mg - T
ma = T - mg
Adding those equations,
a (M + m) = g ( M - m)
a = (M + m) / ( M - m)
Substituting the values,
a = (10 + 5) / (10 - 5)
= 3 m/s²
The acceleration of the elevator machine is, a = 3 m/s²