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A metal rod 80cm long lengthens by 0.090cm when its temperature rises by 93.6$^o$C. What is the linear expansivity of the metal

(a)0.0012/k
(b)0.000012/k
(c)12/k
(d)1.2/k

1 Answer

3 votes

Answer: (b)0.000012/k

Step-by-step explanation:

The linear expansion of the metal rod is given by


\Delta L= L_0 \alpha \Delta T

where


\Delta L=0.090 cm is the linear expansion


L_0 = 80 cm is the initial length of the rod


\alpha is the linear expansivity


\Delta T=93.6^(\circ)C=93.6 K is the increase in temperature

By re-arranging the equation, we find the linear expansivity:


\alpha = (\Delta L)/(L_0 \Delta T)=(0.090 cm)/((80 cm)(93.6K))=0.000012 K^(-1)

User Cchapman
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