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Q.

The linear expansivity of A and B are $α_{1}$ and $α$ ₂ respectively. If the cubical expansivity of B is 3 times the superficial expansivity of A then

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a

$α_{2} = 2 α_{1}$

b

$α_{1} = 2 α_{2}$

c

$α_{2} = 3 α_{1}$

d

$α_{1} = 3 α_{2}$

answer is A.

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Detailed Solution

$γ_{B} = 3 {βλ}_{A} \Rightarrow 3 α_{β} = 3 x 2 α_{A} \Rightarrow α_{β} = 2 α_{A} \Rightarrow α_{2} = 2 α_{1}$

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The linear expansivity of A and B are α1and α2 respectively. If the cubical expansivity of B is 3 times the superficial expansivity of A then