VIT Engineering VIT Engineering Solved Paper-2014

  • question_answer
    The value of \[\int_{0}^{\sqrt{2}}{[{{x}^{2}}]dx,}\] where [.] is the greatest integer function is

    A) \[2-\sqrt{2}\]

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

    C) \[\sqrt{2}-1\]                    

    D) \[\sqrt{2}-2\]

    Correct Answer: C

    Solution :

    \[\text{ }\!\!\Delta\!\!\text{ }{{\text{T}}_{\text{b}}}\text{=}\frac{\text{1000 }\!\!\times\!\!\text{ }{{\text{k}}_{\text{b}}}\text{ }\!\!\times\!\!\text{ w}}{\text{W }\!\!\times\!\!\text{ M}}\] \[M=\frac{1000\times {{k}_{b}}\times w}{W\times \Delta {{T}_{b}}}\] \[\Delta {{T}_{b}}=\frac{1000\times {{k}_{b}}\times 10}{100\times 100}\]


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