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Thermal expansion

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By Expert Faculty of Sri Chaitanya
Question

A non- isotropic solid metal cube has coefficients of linear expansion as:5×105/0C   along the x-axis and  5×106/0C along the y and the z-axis. If coefficient of volume expansion of the solid C×106/  0C then the value of C is _________

Moderate
Solution

coefficient of volume expansion γ=αx+αy+αzγ=2αy+αx=25×106+5×105=10×106+50×106=60×106   C 1  0  


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The coefficient of linear expansion of brass and steel are α1 and α2. If we take a brass rod of length l1 and steel rod of length l2 at 0oC, their difference in length l2l1will remain the same at all temperatures if 

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