Question

two wires of the same material and having length in ratio of 2:3 are connected series the pds across the wires are 4.2 and 3.6 respectiely compare their radii

Answer 1

Explanation:

let I is the current through wires which are connected in series combination

so, resistance on first wire

4.2/I........(1)

resistance on second wire

3.6/I........(2)

using formula of resistance = R =PI/A

where, p is resistivity, I is the length and A is cross sectional area

as both wires are made of same material, so resistivity is same

cross section area of first wire, cross section area of second wire

now,

and

from equation (1) and (2)

or,

hence

so, answer is 2:√7

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