A long cylindrical vessel of volume V and coefficient of linear expansion - contains a liquid- The level of liquid has not changed on heating- The co-efficient of real expansion of the liquid is -

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Standard XII

Physics

Accelerating Containers

A long cylind...

Question

A long cylindrical vessel of volume V and coefficient of linear expansion $α$ contains a liquid. The level of liquid has not changed on heating. The co-efficient of real expansion of the liquid is :

\frac{V - α}{V}

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\frac{V + α}{V}

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\frac{V}{V - α}

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3 α

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Solution

The correct option is D $3 α$
By defn. volume of liquid at temp t on heating is
$V_{t} = V_{0} (1 + γ Δ t)$
where $γ = 3 α$ is the coefficient of volume expansion and $α$ is the coefficient of linear expansion.

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A long cylindrical vessel of volume V and coefficient of linear expansion α contains a liquid. The level of liquid has not changed on heating. The co-efficient of real expansion of the liquid is :

The correct option is D 3αBy defn. volume of liquid at temp t on heating isVt=V0(1+γΔt)where γ=3α is the coefficient of volume expansion and α is the coefficient of linear expansion.

A long cylindrical vessel of volume V and coefficient of linear expansion $α$ contains a liquid. The level of liquid has not changed on heating. The co-efficient of real expansion of the liquid is :

The correct option is D $3 α$
By defn. volume of liquid at temp t on heating is
$V_{t} = V_{0} (1 + γ Δ t)$
where $γ = 3 α$ is the coefficient of volume expansion and $α$ is the coefficient of linear expansion.