Question

Two wires of the same material have lengths in the ratio 1:2and their radii are in the ratio 1:√2 if they are stretched by applying equal forces the increase in their lengths will be in the ratio....

Answer 1

Stress=Fa
a=πr2
a∝r2
a1a2=(r1r2)2=(21)2
⇒4
S1S2=F/a1F/a2=(a2a1)=14
Ratio of stress is 1 : 4
Hence (D) is the correct answer.