A rod having α = 1*10-5per °C and length of 70cm has one of its end rigidly connected to another rod of length 1m and α= 0.5*10-5per °C. Find the new length of the two joined rods when their temperature is increased by 30℃.

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A rod having α = 1*10<sup>-5</sup>per °C and length of 70cm has one of its end rigidly connected to another rod of length 1m and α= 0.5*10<sup>-5</sup>per °C. Find the new length of the two joined rods when their temperature is increased by 30℃.