Apparent coefficient of expansion of a liquid when heated in a copper vessel is C and when heated in

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10-1.Thermometry, Thermal Expansion and Calorimetry

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The apparent coefficient of expansion of a liquid when heated in a copper vessel is $C$ and when heated in a silver vessel is $S$. If $A$ is the linear coefficient of expansion of copper, then the linear coefficient of expansion of silver is

$\frac{{C + S - 3A}}{3}$

$\frac{{C + 3A - S}}{3}$

$\frac{{S + 3A - C}}{3}$

$\frac{{C + S + 3A}}{3}$

Solution

(b) ${\gamma _r} = {\gamma _a} + {\gamma _v}$; where ${\gamma _r} = $coefficient of real expansion, ${\gamma _a} = $coefficient of apparent expansion and ${\gamma _v} = $coefficient of expansion of vessel.

For copper ${\gamma _r} = C + 3\,{\alpha _{Cu}} = C + 3A$

For silver ${\gamma _r} = S + 3\,{\alpha _{Ag}}$

$\Rightarrow$ $C + 3A = S + 3{\alpha _{Ag}}$$\Rightarrow$ ${\alpha _{Ag}} = \frac{{C – S + 3A}}{3}$

Standard 11

Physics

If on heating liquid through $80°C$, the mass expelled is $(1/100)^{th}$ of mass still remaining, the coefficient of apparent expansion of liquid is

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A beaker is completely filled with water at $4°C$. It will overflow if

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Two conducting cylinders of equal length but different radii are connected in series between two heat baths kept at temperatures $T _1=300 K$ and $T _2=100 K$, as shown in the figure. The radius of the bigger cylinder is twice that of the smaller one and the thermal conductivities of the materials of the smaller and the larger cylinders are $K _1$ and $K _2$ respectively. If the temperature at the junction of the two cylinders in the steady state is $200 K$, then $K _1 / K _2=$ . . . . .

normal

(IIT-2018)

An iron bar of length $10\, m$ is heated from $0°C$ to $100°C.$ If the coefficient of linear thermal expansion of iron is $ 10 \times 10^{-6}{°C^{-1}}$, the increase in the length of bar is ………. $cm$

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The coefficient of linear expansion depends on

easy

The apparent coefficient of expansion of a liquid when heated in a copper vessel is $C$ and when heated in a silver vessel is $S$. If $A$ is the linear coefficient of expansion of copper, then the linear coefficient of expansion of silver is

Solution

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