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Two vessel connected by a pipe with a sl...

Two vessel connected by a pipe with a sliding plug contain mercury. In one vessel, the height of murcury column is `39.2 cm` and its temperature is `0^@ C`, while in the other, the height of mercury column is `40 cm` and its temperature is `100^@ C`. Find the coefficient if cubical expansion for mercury. The volume of the connecting pipe should be neglected.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C, D
`rho _(100) g h _(100) = rho _0 g h_0 or rho _(100)/(rho_0) = (h_0)/(h_(100))`
`((1)/(1 + 100 gamma)) = (39.2)/(40)`
Solving this equation we get
`gamma = 2.0 xx 10^-4 per ^@ C`.
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