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A pyknometer weights $40 g m$ when empty and $1040 g m$ when filled with mercury at $0^{0} C .$ On heating to $100^{0} C; 10 g m$ of mercury over flows. If the coefficient of real expansion of mercury is $0.0002 /^{0} C$ , the coefficient of cubical expansion of glass is

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$0.0001 /^{0} C$

$0.0003 /^{0} C$

$0.00001 /^{0} C$

$0.0002 /^{0} C$

answer is D.

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Detailed Solution

$r_{R} = r_{c p p} + r_{g}$

$r_{c p p} = \frac{w_{2} - w_{3}}{(w_{2} - w_{1}) Δ θ} = \frac{10}{1000.100}$

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