A) 0.5 cm
B) 1.0 cm
C) 1.5 cm
D) 2:0 cm
Correct Answer: B
Solution :
The change in length\[\Delta \]is proportional to L and\[\Delta T\]. Stated mathematically \[\Delta l=\alpha L\Delta T\] where\[\alpha \]is called the coefficient of linear thermal expansion for the material. Given, \[\alpha =10\times {{10}^{-6}}/{}^\circ C,\Delta T=100{}^\circ C,\] \[L=10\text{ }m\] \[\therefore \] \[\Delta l=10\times 100\times 10\times {{10}^{-6}}={{10}^{-2}}m=1\,cm\] Note: For an isotropic material, a will be the same in all the same in all the directions, so we can measure a-simply by measuring the change in length of a rod of the material.You need to login to perform this action.
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