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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 expansion of the material of the vessel is `alpha` . If the fluid is heated with the vessel , then find the level of liquid when temperature increases by `Deltatheta`.

A

`(h_(0)(1+gamma Delta theta))/((1+2 alphaDeltatheta))`

B

`(h_(0)(1+gamma Delta theta))/((1+3alpha Delta theta))`

C

`(h_(0)(1+gammaDelta theta))/((1+alpha Delta theta))`

D

`h_(0)(1+gamma Delta theta)`

Text Solution

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The correct Answer is:
A
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