A glass vessel of volume `V_(o)` is comopleated filled with volume of the liquid will overflow? Cofficient of linear expansion of gass =`alpha` and coefficient of volume expension of the liquid =`gamma_(l)`A. `2V_(o)AT(gamma_(l)-3alpha_(g))`B. `V_(o)DeltaT(gamma_(l)-3alpha_(g))`C. `V_(o)DeltaT(gamma_(l)-alpha_(g))`D. `(V_(o)DeltaT)/2(gamma_(l)-3alpha_(g))`

A glass vessel of volume `V_(o)` is comopleated filled with volume of

1.	A glass vessel of volume `V_(o)` is comopleated filled with volume of the liquid will overflow? Cofficient of linear expansion of gass =`alpha` and coefficient of volume expension of the liquid =`gamma_(l)`A. `2V_(o)AT(gamma_(l)-3alpha_(g))`B. `V_(o)DeltaT(gamma_(l)-3alpha_(g))`C. `V_(o)DeltaT(gamma_(l)-alpha_(g))`D. `(V_(o)DeltaT)/2(gamma_(l)-3alpha_(g))`
Answer» Correct Answer - B Volume of the liquid overflow = Increase in the volume of the liquid -Increase in the volume of the container `=[V_(o)(1+gamma_(t)DeltaT)-V_(o)]-[V_(o)(1+gamma_(g)DeltaT)-V_(o)]` `=V_(o)DeltaT(gamma_(l)-gamma_(g))=V_(o)DeltaY(gamma_(l)-3alpha_(g))" "(therefore gamma_(g)~~ 3alpha_(g))`

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