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NEET PHYSICSMedium

A copper rod of 88 cm and an aluminium rod of unknown length have their increase in length independent of increase in temperature. The length of aluminium rod is : (αCu=1.7×10−5\alpha_{Cu} = 1.7 \times 10^{-5} K−1^{-1} and αAl=2.2×10−5\alpha_{Al} = 2.2 \times 10^{-5} K−1^{-1})

1

6.8 cm

2

113.9 cm

3

88 cm

4

68 cm

Step-by-Step Solution

αCuLCu=αAlLAl\alpha_{Cu}L_{Cu} = \alpha_{Al}L_{Al}. 1.7×10−5×881.7 \times 10^{-5} \times 88 cm =2.2×10−5×LAl= 2.2 \times 10^{-5} \times L_{Al}. LAl=1.7×882.2=68L_{Al} = \frac{1.7 \times 88}{2.2} = 68 cm

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