VIT Engineering VIT Engineering Solved Paper-2014

  • question_answer
    If there is an error of k% in measuring the edge of a cube, then the per cent rear in estimating its volume is

    A) k                                             

    B) 3k

    C) \[\frac{k}{3}\]                                   

    D) None of these

    Correct Answer: B

    Solution :

    We know that, the volume V of a cube of side x is given by                       \[2C+3{{H}_{2}}\to {{C}_{2}}{{H}_{6}};\Delta H=-21.1\] On differentiating w.r.t. x, we get \[C+OL2\to C{{O}_{2}};\Delta H=-94.1\]     \[{{y}_{1}},{{y}_{2}},{{y}_{3}}\] Let the change in x be \[=50\Omega \] Now, the change in volume,                          \[{{l}_{g}}=\frac{S}{S+a}\times l\]                         \[15\times {{10}^{-3}}=\left( \frac{S}{S+50} \right)\times 25\] \[S=0.03\Omega \]   The approximate change in volume                         \[r=R\left( \frac{{{l}_{1}}}{{{l}_{2}}}-1 \right)\]                            \[=2\left( \frac{125}{100}-1 \right)\] of original volume    


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