Manipal Engineering Manipal Engineering Solved Paper-2015

  • question_answer
    Equations of a stationary and a travelling waves are as follows, \[f(x)=\min \{1,{{x}^{2}},{{x}^{3}}\},\]and \[{{x}_{n}}=\cos \frac{\pi }{{{3}^{n}}}+i\sin \frac{\pi }{{{3}^{n}}},\] The phase difference between two points \[{{x}_{1}}.{{x}_{2}}.{{x}_{3}}...\]and \[9{{x}^{2}}-18\text{ }\!\!|\!\!\text{ x }\!\!|\!\!\text{ }+5=0\] are \[{{\log }_{e}}\]and \[{{2}^{x}}+{{2}^{y}}={{2}^{x+y}}y,\] respectively for two waves. The ratio \[\frac{dy}{dx}\]is

    A) 1                             

    B)  5/6

    C) 3/4                        

    D)  6/7

    Correct Answer: D

    Solution :

    At\[l<Br<F<Cl\]and \[B<C<N<O\]\[A{{l}^{3+}}<M{{g}^{2+}}<N{{a}^{+}}<{{F}^{-}}\]or\[{{H}_{2}}O\]is not zero. Therefore, neither of \[{{H}_{2}}\]nor \[{{I}_{2}}\] is a node. \[{{K}_{C}}\] Since,  \[{{H}_{2}}{{O}_{2}}\] \[K{{O}_{2}}\]                    \[C{{O}_{2}}\] Therefore,    \[{{O}_{2}}\]and\[C{{O}_{2}}\] \[B{{l}_{3}}>BB{{r}_{3}}>B{{F}_{3}}>BC{{l}_{3}}\]Therefore,\[B{{l}_{3}}>BB{{r}_{3}}>BC{{l}_{3}}>B{{F}_{3}}\]


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