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A horizontal uniform tube, open at both ends, is containing a liquid of certain length at some temperature. When the temperature is changed, the length of the liquid in the tube is not changed. If α is the coefficient of linear expansion of the material of the tube and γ is the coefficient of volume expansion of the liquid, then [EAMCET 2013]

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a

γ=2α

b

γ=3α

c

γ=4α

d

γ=α

answer is A.

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Detailed Solution

Coefficient of superficial expansion of the material of the tube =2αExpansion of volume of the liquid =A(γL)△t and expansion of volume of tube = A2αL.△tAγL.△t = A2αL.△t ⇒γ=2αTherefore

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A horizontal uniform tube, open at both ends, is containing a liquid of certain length at some temperature. When the temperature is changed, the length of the liquid in the tube is not changed. If α is the coefficient of linear expansion of the material of the tube and γ is the coefficient of volume expansion of the liquid, then [EAMCET 2013]