Question

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?

Answer 1

Young’s Modulus,

Y = \(\frac{Stress}{Longitudinal\, Strain}\)

Y ∝ stress (for same longitudinal strain)

∴ \(\frac{Y_{steel}}{Y_{rubber}}\) = \(\frac{stress_{steel}}{stress_{rubber}}\)         (A)

(Given : Y_steel > Y_rubber),

∴ \(\frac{Y_{steel}}{Y_{rubber}}\) > 1

From eqⁿ \(\frac{stress_{steel}}{stress_{rubber}}\) > 1 or stress_steel > stress_rubber