A) \[3\hat{i}-4\hat{j}+\hat{k}\]
B) \[5\hat{i}-6\hat{j}+6\hat{k}\]
C) \[6\hat{i}-6\hat{j}+3\hat{k}\]
D) \[18\hat{i}-13\hat{j}+2\hat{k}\]
Correct Answer: D
Solution :
Here : Initial temperature \[{{\tan }^{-1}}\left( \frac{1}{5} \right)\] Initial density \[{{\sin }^{-1}}\left( \frac{1}{5} \right)\] Final temperature \[2.2\times {{10}^{3}}N\] Final density \[3.2\times {{10}^{3}}N\] From the formula for coefficient of volumetric expansion \[4.2\times {{10}^{3}}N\] \[5.2\times {{10}^{3}}N\] Hence, coefficient of linear expansion is \[{{10}^{2}}\]
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