The elastic limit brass |ELASTICITYVISCOPhysicsJEEMAIN2019

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JEE MAIN 2019

10-04-2019 S2

Question

The elastic limit of brass is 379 MPa. What should be the minimum diameter of a brass rod if it is to support a 400 N load without exceeding its elastic limit?

Select the correct option:

A

0.90 mm

B

1.16 mm

C

1.00 mm

D

1.36 mm

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

$\begin{aligned} & \text { Stress }=\frac{400}{\pi r^2} \leq 379 \times 10^6 \mathrm{~N} / \mathrm{m}^2 \\ & \Rightarrow \quad r^2 \geq \frac{400}{379 \times 10^6 \pi} ; \quad 2 r \geq 1.15 \mathrm{~mm}\end{aligned}$

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