The wires in (Figure 1) all have the same resistance; the length and radius of each wire are noted.Rank in order, from largest to smallest, the resistivities ρ 1 to ρ 5 of these wires.

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The wires in (Figure 1) all have the same resistance; the length and radius of each wire are noted.Rank in order, from largest to smallest, the resistivities       ρ    1   to       ρ    5   of these wires.

heilaritikermx · Accepted Answer

Resistivity   (  ρ  )  =            R      A        l  Resistance is same   ⇒      ρ    1    =            R      ⋅      π              r        2              L        ρ    2    =            R      ⋅      π      (      2      r              )        2              L    ⇒      ρ    2    =  4            R      ⋅      π              r        2              L    =  4      ρ    1          ρ    3    =            R      ⋅      π      (      2      r              )        2                    2      L        ⇒      ρ    3    =  2            R      ⋅      π              r        2              L    =  2      ρ    1          ρ    4    =            R      ⋅      π              r        2                    2      L        =      1    2              R      π              r        2              L    ⇒      ρ    4    =            ρ      1        2          ρ    5    =            R      ⋅      π      (      2      r              )        2                    4      L        =            R      π              r        2              L    =      ρ    5          ρ    2    &amp;gt;      ρ    3    &amp;gt;  (      ρ    1    =      ρ    5    )  &amp;gt;      ρ    4

The wires in (Figure 1) all have the same resistance; the length and radius of each wire are noted.R

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