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A Bakelite beaker has volume capacity of $500 c c$ at $30^{\circ} C$ . When it is partially filled with $V_{m}$ volume (at $30^{\circ} C$ ) of mercury, it is found that the unfilled volume of beaker remains constant as temperature is varied. If $γ_{b e a \ker} = 6 \times 10^{- 6} /^{\circ} C$ and $γ_{m e r c u r y} = 1.5 \times 10^{- 4} /^{\circ} C$ then $V_{m}$ is close to

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Detailed Solution

$V_{m} γ_{m} = V_{b} γ_{b}$

$V_{m} = \frac{V_{b} γ_{b}}{γ_{m}} = \frac{500 \times 6 \times 10^{- 6}}{1.5 \times 10^{- 4}} = 20 c c$

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