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The radii of two wires of a same material are in ratio 2:1. if the wires are stretched by equal forces, the stress produced in them will be what?

The radii of two wires of a same material are in ratio 2:1. if the wires are stretched by equal forces, the stress produced in them will be what?

Grade:12

2 Answers

Saurabh Koranglekar
askIITians Faculty 10336 Points
2 years ago
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Arun
25758 Points
2 years ago
STRESS (S)=FORCE(F)/AREA (A)
S IS INVERSLY PROPORTIONAL TO AREA
S=1/
πRπ, BEING A CONSTANT THEREFORE WE CAN SAY S IS INVERSLY PROPORTIONAL TO R2
S1=1/R2
S2=1/R22
DIVIDING 1 AND 2 WE GET


S1/S2=R2^2/R1^2

THEREFORE THE RATION IS 1:4

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