At `0.^(0)C` the densities of a cork and a liquid in which the cork floats are `d_(1)` and `d_(2)` respectively. The coefficient of expansion for the material of the cork and the liquid are `gamma` and `100gamma` respectively. If the cork sinks when the temperature of the liquid is `'t^(0)C'` then the ratio `(d_(2))/(d_(1))` is