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  • In a vertical U-tube containing a liquid, the two arms are maintained at different temperatures t1 and t2. The liquid columns in the two arms have heights of l1</sub

In a vertical U-tube containing a liquid, the two arms are maintained at different temperatures t1 and t2. The liquid columns in the two arms have heights of l1 and l2 respectively. The coefficient of volume expansion of the liquid is equal to : 

Option: 1

\frac{l_{1}-l_{2}}{l_{2} t_{1}-l_{1} t_{2}}


Option: 2

\frac{l_{1}-l_{2}}{l_{1} t_{1}-l_{2} t_{2}}


Option: 3

\frac{l_{1}+l_{2}}{l_{2} t_{1}+l_{1} t_{2}}


Option: 4

\frac{l_{1}+l_{2}}{l_{1} t_{1}+l_{2} t_{2}}


Answers (1)

best_answer

when the temperature rises, the height of liquid in each arm increases.

l_{2}>l \text { and } l_{1}>l

Also, 

\begin{aligned} l & =\frac{l_{1}}{l+y t_{1}} \\ l & =\frac{l_{2}}{l+y t_{2}} \\ l_{1}+y l_{1} t_{2} & =l_{2}+y l_{2} t_{1} \\ y & =\frac{l_{1}-l_{2}}{l_{2} t_{1}-l_{1} t} \end{aligned}2

Posted by

vinayak

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