Railways Technical Ability Fluid Mechanics and Machinery Question Bank Fluid Mechanics

  • question_answer A tank with four equal vertical faces of width/ and depth h is filled up with a liquid. If the force on any vertical side is equal to the force at the bottom, then value of \[\frac{h}{l}\] will be:                            

    A) 2                                 

    B) \[\sqrt{2}\]

    C) 1                                 

    D) \[\frac{1}{2}\]

    Correct Answer: A

    Solution :

    Force on the bottom, \[{{F}_{b}}=h\gamma {{l}^{2}}\] Force on the sides \[{{F}_{s}}=0.5\gamma l\,{{h}^{2}}\] For \[{{F}_{s}}={{F}_{b}}\] \[0.5\,\gamma l{{h}^{2}}=\gamma h{{l}^{2}}\] \[\therefore \] \[\frac{h}{l}=2\]

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