Which one is more elastic rubber …
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Posted by Bishwamadhab Das 6 years, 5 months ago
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Sia ? 6 years, 5 months ago
Let length and area of rubber and steel rod = l and a respectively
Let Yr = Young’s modulus of elasticity for rubber
Ys = 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 steel
Now, {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 < Ys
Hence more the modulus of elasticity more elastic is the material, so, steel is more elastic than rubber.
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