Two copper wires have the same length, but one has twice the diameter of the other.

Compared to the one that has the smaller diameter, the one that has the larger diameter has a resistance that is...

a) the same
b) smaller by a factor of 1/4.
c) smaller by a factor of 1/2.
d) larger by a factor of 2.
e) larger by a factor of 4

Option b. is correct.

Explanation:

We know, resistance is given by :

Since, both the wires are made up of copper. Therefore , is same for both the resistance.

Now, one resistance has diameter double than other.

Therefore, its radius is also double than other.

Now,

Then ,

Therefore, compared to the one that has the smaller diameter, the one that has the larger diameter has a resistance that is smaller by a factor of 1/4 .

Hence, this is the required solution.

ι вєℓιєνє ιт ιѕ тнє fιяѕт ¢нσι¢є(α.)

нє ѕнσυℓ∂ ѕмιℓє ρσℓιтℓу αи∂ ѕρєαк тσ тнє ρєяѕσи ωнσ ιѕ ιитєяяυριиg αfтєя тнє ∂ιѕ¢υѕѕισи

нσρє ι ¢συℓ∂ нєℓρ.

answer;

d. are made mostly of liquid

explanation;

-the general   composition and structure planets includes; they have a thick gas and liquid layer covering a small,solid core. mostly the gases are hydrogen and helium atmosphere and layers of liquid hydrogen. for instance neptune and uranus are examples of the outer planets, they have a core covered by ice and ammonia.

-neptune's atmosphere is hydrogen and helium with a bit of methane so there is no oxygen to breath and the interior is made up of frozen water and ammonia with a rock and iron core. thus, there is no liquid water or solid surface to survive.