Properties of Matter 1 Question 4

4. A steel wire having a radius of 2.0mm, carrying a load of 4kg, is hanging from a ceiling. Given that g=3.1πms2, what will be the tensile stress that would be developed in the wire?

(a) 6.2×106Nm2

(b) 5.2×106Nm2

(c) 3.1×106Nm2

(d) 4.8×106Nm2

(2019 Main, 8 April I)

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Answer:

Correct Answer: 4. (c)

Solution:

  1. Given, radius of wire, r=2mm=2×103m Weight of load, m=4kg,g=3.1πms2

Tensile stress = Force (F) Area (A)=mgπr2

=4×3.1×ππ×(2×103)2=3.1×106Nm2



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