1.

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

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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