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A fluid having a thermal coefficient of ...

A fluid having a thermal coefficient of volume expansion `gamma` is filled in a cylindrical vessel up to a height `h_(0)`. The coefficient of linear thermal exapnsion of the material of the vessel is `alpha.` If the fluid is heated with the vessel, then find the level of liquid when the temperature increases by `Deltatheta`.

A

`(h_0(1+gammaDeltatheta))/((1+2alphaDeltatheta))`

B

`(h_0(1+gammaDeltatheta))/((1+3alphaDeltatheta))`

C

`(h_0(1+gammaDeltatheta))/((1+alphaDeltatheta))`

D

`h_0 (1+ gammaDeltatheta)`

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The correct Answer is:
A
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