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Q.

The linear expansivity of A and B are α1 and α2 respectively. If the cubical expansivity of B is 3 times the superficial expansivity of A then

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a

{\alpha _2} = 2{\alpha _1}

b

{\alpha _1} = 2{\alpha _2}

c

{\alpha _2} = 3{\alpha _1}

d

{\alpha _1} = 3{\alpha _2}

answer is A.

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Detailed Solution

{\gamma _B} = 3{\beta _A} \Rightarrow 3{\alpha _B} = 3 \times 2{\alpha _A}

\Rightarrow {\alpha _B} = 2{\alpha _A} \Rightarrow {\alpha _2} = 2{\alpha _1}

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