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MHT CET 2020 (16 Oct, Shift 2) · Elastic Behaviour, Stress & Strain

Elastic Behaviour, Stress & Strain question from MHT CET 2020 (16 Oct, Shift 2)

Q17MHT CET 2020 · 16 OCT · SHIFT 2Easy

Elastic Behaviour, Stress & Strain

Two wires $A$ and $B$ are stretched by the same load. The radius of wire $A$ is double the radius of wire $B$ . The stress on the wire $B$ as compared to the stress on the wire $A$ is

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Answer: (d)

Stress $= \frac{F}{\pi r^2}$ , so for the same load stress $\propto \frac{1}{r^2}$ .
$\frac{\sigma_B}{\sigma_A} = \left(\frac{r_A}{r_B}\right)^2 = 2^2 = 4$
So the answer is (d) four times.

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