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Which one is more elastic rubber or steel . Explain |
| Answer» Let length and area of rubber and steel rod = l and a respectivelyLet Yr = Young’s modulus of elasticity for rubberYs = Young’s modulus of elasticity for steel when Stretching force F is applied, Let{tex}\\Delta l r{/tex} Extension in rubber{tex}\\Delta{/tex} ls = Extension in steelNow, {tex}\\Delta l r{/tex} will be greater that ∆ls.Now {tex}Y = \\frac { F l } { a \\Delta l } = \\frac { \\text { Normal stress } } { \\text { Longitudinal strain } }{/tex}So, {tex}\\mathrm { Yr } = \\frac { F l } { a \\Delta l r } ; \\mathrm { Ys } = \\frac { F l } { a \\Delta {l} s }{/tex}Since {tex}\\Delta l r > \\Delta l s{/tex}So, Yr < YsHence more the modulus of elasticity more elastic is the material, so, steel is more elastic than rubber. | |