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An alumimum plate fixed in a horizontal ...

An alumimum plate fixed in a horizontal position has a hole of diameter 2.000 cm. A steel sphere of diameter 2.005 cm rests on this hole. All the lengths refer to a temperature of `10^C`.The temperature of the entire system is slowly increased. At what temperature will the ball fall down? coefficient of linear expansion of aluminium is `23 xx 10^(-6) o^C(-1)` and that of steel is `11 xx 10^(-6) 0^C^(-1)`.

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