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An iron sphere has a radius `8 cm` at a temperature of `0^(@)C`. Calculate the change in volume of the sphere if is temperature is raised to `80^(@)C`. Coefficient of liner expansion of iron `=11xx10^(-6) .^(@)C^(-1)`. |
Answer» Correct Answer - `[5.66cm^(3)]` Here, `R=8` cm, Volume of sphere at `0^(@)C` is `V_(0)=(4)/(3)pi R_(3)=(4)/(3)xx(22)/(7)xx8^(3)cm^(3)` Increase in temperature, `DeltaT=80-0-80 .^(@)C` Coefficient of cubical expansion of iron `gamma=3 alpha=3xx11xx10^(-6) .^(@)C^(-1)` Change in volume, `Delta V=V_(0) gamma Delta T` `=((4)/(3)xx(22)/(7)xx8^(3))xx(3xx11xx10^(-6)xx80=5.66cm^(3)` |
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