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A vessel is partly filled with a liquid. coefficients of cubical expansion of material of the vessel and liquid are $γ_{V}$ and $γ_{L}$ , respectively. If the system is heated, then volume unoccupied by the liquid will necessarily

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a

remain unchanged if γV=γL

b

increase if γV=γL

c

decrease if γV=γL

d

none of the above

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detailed solution

Correct option is B

Since the vessel is partly filled, volume of the vessel is greater than that of the liquid. When a body having volume V is heated through ∆θ,then increase in its volume is given by ΔV=V⋅γ⋅ΔθSince, γV=γL, therefore ΔV∝V. Hence, on heating expansion of vessel will be greater than that of liquid. It means unoccupied volume will necessarily increase. So, option (b) is correct.

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Similar Questions

A glass vessel is partially filled with mercury and when both are heated together, the volume of the unfilled part of vessel remains constant at all temperature. Find the initial volume (in cm³) of mercury if the empty part measures 34 cm³ $[Given: α_{vessel} = 9 \times 10^{- 6} /^{\circ} C$ $γ_{Hg} = 18 \times 10^{- 5} /^{\circ} C]$

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