The Young’s modulus for steel is much more than that for rubber. For the same longitudinal strain, which one will have greater tensile stress ?
The Young’s modulus for steel is much more than that for rubber. For the same longitudinal strain, which one will have greater tensile stress ?
Young's modulus $=\frac{\text { Tensile stress }}{\text { Longitudinal strain }}$
For the same longitudinal strain, Young's modulus $\mathrm{Y}$ is proportional to tensile stress
$\therefore \quad \frac{\mathrm{Y}_{\text {steel }}}{\mathrm{Y}_{\text {rubber }}}=\frac{(\text { Stress })_{\text {steel }}}{(\text { Stress })_{\text {rubber }}}$
but $\mathrm{Y}_{\text {steel }}>\mathrm{Y}_{\text {rubber }}$
$\therefore \frac{\mathrm{Y}_{\text {steel }}}{\mathrm{Y}_{\text {rubber }}}>1$ $\therefore \frac{(\text { Stress })_{\text {steel }}}{(\text { Stress })_{\text {rubber }}}>1$ $\therefore$ (Stress) $_{\text {steel }}>$ (Stress) $_{\text {rubber }}$
Similar Questions
The Young's modulus of a wire is $y$. If the energy per unit volume is $E$, then the strain will be
The Young's modulus of a wire is $y$. If the energy per unit volume is $E$, then the strain will be
A boy’s catapult is made of rubber cord which is $42\, cm$ long, with $6\, mm$ diameter of cross -section and of negligible mass. The boy keeps a stone weighing $0.02\, kg$ on it and stretches the cord by $20\, cm$ by applying a constant force. When released, the stone flies off with a velocity of $20\, ms^{-1}$. Neglect the change in the area of cross section of the cord while stretched. The Young’s modulus of rubber is closest to
A boy’s catapult is made of rubber cord which is $42\, cm$ long, with $6\, mm$ diameter of cross -section and of negligible mass. The boy keeps a stone weighing $0.02\, kg$ on it and stretches the cord by $20\, cm$ by applying a constant force. When released, the stone flies off with a velocity of $20\, ms^{-1}$. Neglect the change in the area of cross section of the cord while stretched. The Young’s modulus of rubber is closest to
- [JEE MAIN 2019]
A wire of cross-sectional area $3\,m{m^2}$ is first stretched between two fixed points at a temperature of $20°C$. Determine the tension when the temperature falls to $10°C$. Coefficient of linear expansion $\alpha = {10^{ - 5}} { ^\circ}{C^{ - 1}}$ and $Y = 2 \times {10^{11}}\,N/{m^2}$ ........ $N$
A wire of cross-sectional area $3\,m{m^2}$ is first stretched between two fixed points at a temperature of $20°C$. Determine the tension when the temperature falls to $10°C$. Coefficient of linear expansion $\alpha = {10^{ - 5}} { ^\circ}{C^{ - 1}}$ and $Y = 2 \times {10^{11}}\,N/{m^2}$ ........ $N$
A uniform rod of mass $m$, length $L$, area of cross-section $A$ and Young's modulus $Y$ hangs from the ceiling. Its elongation under its own weight will be
A uniform rod of mass $m$, length $L$, area of cross-section $A$ and Young's modulus $Y$ hangs from the ceiling. Its elongation under its own weight will be
On all the six surfaces of a unit cube, equal tensile force of $F$ is applied. The increase in length of each side will be ($Y =$ Young's modulus, $\sigma $= Poission's ratio)
On all the six surfaces of a unit cube, equal tensile force of $F$ is applied. The increase in length of each side will be ($Y =$ Young's modulus, $\sigma $= Poission's ratio)