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a metal rod A of 25 cm length expands by 0.050 cm when its temperature is rasied from 0 deg to 100 deg. another rod B of a different metal of length 40 cm expands by 0.040 cm for the same rise in temp. A third rod C of 50 cm length is made up of pieces of rods A and B placed end to end expands by 0.03 cm on heating from 0 deg to 50 deg. Find the lengths of each portion of the composite rod.
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