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Ad libitum [116K]
3 years ago
9

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

Physics
1 answer:
alexandr1967 [171]3 years ago
8 0

Answer: (b)0.000012/k

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 = \frac{\Delta L}{L_0 \Delta T}=\frac{0.090 cm}{(80 cm)(93.6K)}=0.000012 K^{-1}

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