Question

Two wires A and B are of equal lengths and same metal. If the resistance of wire A is nine times the resistance of wire B, what is ratio of radii of the wires A to B?

Answer 1

Answer:

Solution :

(a) (i) Resistivity. This is due to the reason that the resistivity is the property of the material of which the wire is made. As both the wires are made of the same metal, their resistivity is the same. <br> (ii) Resistance. As both the wires are of different cross-sectional area, their resistances are different

. <br> (b) (i) For wire A,

and for wire B,

Thus,

<br> Since

Thus,

<br> (ii) As

and

<br> As.

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