The elastic limit and ultimate strength for steel is `2.48 xx 10^(8) Pa` and `4.89 xx 10^(8) Pa` respectively. A steel wire of 10 m length and 2 mm cross sectional diameter is subjected to longitudinal tensile stress. Young’s modulus of steel is `Y = 2 xx 10^(11) Pa` (a) Calculate the maximum elongation that can be produced in the wire without permanently deforming it. How much force is needed to produce this extension? (b) Calculate the maximum stretching force that can be applied without breaking the wire.
Text Solution
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The correct Answer is:
(a) `1.24 cm, 779N` (b) `1535 N`
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