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A hollow metallic sphere is heated. Explain in the type of change produced in its (a) internal radius (b) external radius (c) volume (d) mass (e) density |
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Answer» (i) Take volumes of the body at `t_(1)""^(@)C" and "t_(2)""^(@)C` be `V_(1)" and V_(2),` respectively. Take the densities of the liquid at `t_(1)""^(@)C" and "t_(2)""^(@)C" as "d_(1)" and "d_(2)`, respectively. Find the apparent loss in weight of the body in liquid at `t_(1)""^(@)C" and "t_(2)""^(@)C.` `W_(1)-W_(2)=V_(1)d_(1)g` `"and "W_(1)-W_(3)=V_(2)d_(2)g` The volume coefficient of the solid body `=gamma=(DeltaV)/(V_(0)DeltaT)=(V_(2)-V_(1))/(V_(1)(t_(2)-t_(1)))""^(@)C^(-1)` Convert `V_(1) and V_(2)` in terms of `W_(1),W_(2),g,d_(1) and d_(2)` Substitue it in above equation and obtain required solution. (ii) `(d_(1)(w_(1)-w_(3))-d_(2)(w_(1)-w_(2)))/(d_(2)(t_(2)-t_(1))(w_(1)-w_(2)))""^(@)C^(-1)` |
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