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  • A steel wire of diameter has a breaking strength of <img alt="4 \times 10^5 \mathrm{~N}"

A steel wire of diameter 2 \mathrm{~mm} has a breaking strength of 4 \times 10^5 \mathrm{~N}. The breaking strength of similar steel wire of diameter 1 \mathrm{~mm} will be

Option: 1

\mathrm{4 \times 10^5 \mathrm{~N}}


Option: 2

\mathrm{2 \times 10^5 \mathrm{~N}}


Option: 3

\mathrm{1 \times 10^5 \mathrm{~N}}


Option: 4

\mathrm{0.5 \times 10^5 \mathrm{~N}}


Answers (1)

best_answer

The breaking strength is proportional to the square of the diameter \left(F \propto d^2\right). Since the diameter is reduced to half, the breaking strength is reduced to onefourth. Hence the correct choice is (c).

Posted by

sudhir kumar

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