The coefficient of superficial expansion of a solid is 2 - 10-6 -C- Its coefficient of linear expansion is

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Standard X

Mathematics

Volume and Capacity

The coefficie...

Question

The coefficient of superficial expansion of a solid is $2 \times 10^{- 6} /^{\circ}$ C. Its coefficient of linear expansion is

4 \times 10^{- 6} /^{\circ}

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1 \times 10^{- 6} /^{\circ}

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2 \times 10^{- 6} /^{\circ}

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3 \times 10^{- 6} /^{\circ}

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Solution

The correct option is B $1 \times 10^{- 6} /^{\circ}$ C
We know that the coefficients of linear expansion and superficial expansion are related as:

$β = 2 α$

$∴ α = \frac{β}{2} = \frac{2 \times 10^{- 6}}{2} = 1 \times 10^{- 6} /^{\circ}$ C

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The coefficient of superficial expansion of a solid is 2×10−6/∘C. Its coefficient of linear expansion is

The correct option is B 1×10−6/∘CWe know that the coefficients of linear expansion and superficial expansion are related as: β=2α ∴α=β2=2×10−62=1×10−6/∘C

The coefficient of superficial expansion of a solid is $2 \times 10^{- 6} /^{\circ}$ C. Its coefficient of linear expansion is

The correct option is B $1 \times 10^{- 6} /^{\circ}$ C
We know that the coefficients of linear expansion and superficial expansion are related as:

$β = 2 α$

$∴ α = \frac{β}{2} = \frac{2 \times 10^{- 6}}{2} = 1 \times 10^{- 6} /^{\circ}$ C