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  • A non-uniform rod of length l is made of material of Young's modulus Y. The radii of its ends are r and 2r. Find extension of the rod due to a tensile force F.<stron

A non-uniform rod of length l is made of material of Young's modulus Y. The radii of its ends are r and 2r. Find extension of the rod due to a tensile force F.

Option: 1

\frac{Fl}{2\pi r^{2}y}


Option: 2

\frac{Fl}{4\pi r^{2}y}


Option: 3

\frac{2Fl}{\pi r^{2}y}


Option: 4

\frac{4Fl}{\pi r^{2}y}


Answers (1)

best_answer

Use:

    \Delta l = \frac{Fl}{\pi r_{1}r_{2}y}

            = \frac{Fl}{\pi r(2r)y}

            = \frac{Fl}{2\pi r^{2}y}

Posted by

Pankaj

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