A steel wire and a copper wire of equal length and equal cross- sectional area are joined end to end and the combination is subjected to a tension. Find the ratio of copper/steel (a) the stresses developed . In the two wires, (b) the strains developed. (Y of steel = 2xx10^(11) N//m^(2))
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Answer is x = 13
Explanation:
Young's modulus, Y = stress/ strain where stress is = F/A
As both wires have same cross sectional area (A) and same tension F, so stress will be equal for both the wires.
Strain ∝ 1/ y
Thus, strain /stress = Y (copper)/ Y (steel) = 1.3 x 10^11/ 2x 10^11 = 13/20
x = 13
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