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Manipal Engineering Manipal Engineering Solved Paper-2013

  • question_answer
    In a capillary tube, water rises to 3 mm the height of water that will rise in another capillary tube having one-third radius of the first is

    A)  1 mm                   

    B)  3 mm  

    C)  6 mm  

    D)         9 mm

    Correct Answer: D

    Solution :

    The narrower the tube, the higher is the rise in water. when a glass capillary                 \[h=\frac{2T\cos \theta }{R\rho g}\]                 \[h\propto \frac{1}{R}\]                 \[\frac{{{h}_{1}}}{{{h}_{2}}}=\frac{{{R}_{2}}}{{{R}_{1}}}\]                 \[\frac{3}{{{h}_{2}}}=\frac{1}{3}\]                 \[{{h}_{2}}=9mm\]


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