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NEET Sample Paper NEET Sample Test Paper-10

  • question_answer
    A container has two immiscrible liquid of densities \[{{P}_{1}}\] and \[{{P}_{2}}(>{{P}_{1}})\]. A capillary tube of radius r is inserted in the liquid so that its bottom reaches up to the denser liquid. The denser liquid rises in the capillary and attains a height h from the interface of the liquids, which is equal to the column length of the lighter liquid. Assuming angle of contact to be zero, the surface tension of havier liquid is:

    A)  \[2\pi r{{p}_{2}}gh\]                

    B)  \[\frac{{{p}_{2}}rgh}{2}\]

    C)  \[\frac{r}{2}\,({{p}_{2}}-{{p}_{1}})gh\]              

    D)  \[2\pi r\,({{p}_{2}}-{{p}_{1}})gh\]

    Correct Answer: C

    Solution :

    From the Bernoulli?s equation \[{{P}_{0}}+h{{p}_{1}}g-{{p}_{2}}gh+\frac{2T}{r}={{P}_{0}}\] \[T=\frac{r}{2}\,({{p}_{2}}-{{p}_{1}})\,\,gh\]


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