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The coefficient of linear expansion of an in homogeneous rod change linearly from `alpha_(1)` to `alpha_(2)` from one end to the other end of the rod. The effective coefficient of linear expansion of rod isA. `alpha_1+alpha_2`B. `(alpha_1+alpha_2)/(2)`C. `sqrt(alpha_1alpha_2)`D. `alpha_1-alpha_2` |
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Answer» Correct Answer - B The effective value of `alpha` at a distance x from the left end is `alpha_x=alpha_1+((alpha_2+alpha_1)/(L))x` `DeltaL=int_0^Lalpha_xdxDeltat` `L=((alpha_1+alpha_2)/(2))LDeltaT` `alpha_("eff")=(alpha_1+alpha_2)/(2)` |
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