A horizontal tube, open at both ends, contains a column of liquid. The length of this liquid column does not change with temperature. Let `gamma` : coefficient of volume expansion of the liquid and `alpha` : coefficient of linear expansion of the material of the tubeA. `gamma=alpha`B. `gamma=2alpha`C. `gamma=3alpha`D. `gamma=0`

A horizontal tube, open at both ends, contains a column of liquid. The

1.	A horizontal tube, open at both ends, contains a column of liquid. The length of this liquid column does not change with temperature. Let `gamma` : coefficient of volume expansion of the liquid and `alpha` : coefficient of linear expansion of the material of the tubeA. `gamma=alpha`B. `gamma=2alpha`C. `gamma=3alpha`D. `gamma=0`
Answer» Correct Answer - B Let `A_(0)` : area of `X`-section at `0^(@)C` `A_(theta)` : area of `X`-section at `theta^(@)C` `V_(0)` : volume of liquid at `0^(@)C` `V_(theta)` : volume of liquid at `theta^(@)C` `l` : length of liquid column (constant) `V_(0)=lA_(0)` , `V_(theta)=lA_(theta)` , `A_(theta)=A_(0)(1+2alphatheta)` `V_(theta)=V_(0)(1+gammatheta)` `lA_(theta)=lA_(0)(1+gammatheta)` `A_(theta)(1+2alphatheta)=A_(0)(1+gammatheta)` `gamma=2alpha`

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