Question

two wires of same material and same length but diameter for in the ratio 2 is to 3 streched by the same length the ratio of the force applied on two wires is​

Answer 1

Answer:

it is based on mechanical properties of matters.

we know, potential energy per unit volume = 1/2 × stress × strain.

it is given that, both wires are made by same material, length of wires are same and also same force applied to the end of wire . hence, strain of both wires will be same.

we know as well,

strain = stress/Y

where Y is Young's modulus.

so, potential energy per unit volume = 1/2 × (stress)²/Y

but we know, stress is inversely proportional to square of diameter of wire.

so, potential energy per unit volume is inversely proportional to (diameter)⁴.

so, ratio of potential energy per unit volume =

given,

so, ratio of potential energy per unit volume = 2⁴/1⁴ = 16/1