Railways Technical Ability Metal Forming, Casting and Cutting Question Bank Metal Casting

  • question_answer A standard \[90{}^\circ V\]-notch weir is used to measure discharge. The discharge is \[{{Q}_{1}}\] for a height \[{{H}_{1}}\] above the sill and \[{{Q}_{2}}\] is the discharge for a height \[{{H}_{2}}.\]If \[{{\text{H}}_{\text{2}}}\text{/}{{\text{H}}_{\text{1}}}\] is 4, then \[{{Q}_{\text{2}}}\text{/}{{\text{Q}}_{\text{1}}}\] is:

    A) 32                                

    B) \[16\sqrt{2}\]

    C) 16                                

    D) 8

    Correct Answer: D

    Solution :

    \[Q\propto {{H}^{3/2}},\] \[\frac{{{Q}_{2}}}{{{Q}_{1}}}={{\left( \frac{{{H}_{2}}}{{{H}_{1}}} \right)}^{3/2}}={{4}^{3/2}}=8\]

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