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


Option: 2

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


Option: 3

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


Option: 4

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


Answers (1)

best_answer

Use, \Delta l=\frac{F \cdot l}{\pi r_1 r_2 y}

\begin{aligned} & \Delta l=\frac{F l}{\pi r(2 r) y} \\ & \Delta l=\frac{F l}{2 \pi r^2 y} \end{aligned}

Posted by

Kuldeep Maurya

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