AIIMS AIIMS Solved Paper-2015

  • question_answer
    Determine the height above the dashed line \[{{O}_{2}}\]attained by the water stream coming out through the hole is situated at point B in the diagram   given   below.   Given   that \[{{O}_{1}}\]

    A) 10m                                      

    B) 7.1m

    C) 5 m                        

    D) 3.2 m

    Correct Answer: D

    Solution :

    Let the velocity at point B is \[{{E}_{eq}}=12V\]. From conservation of total mechanical energy, \[{{V}_{eq}}=\frac{2\times 2}{2+2}=1\Omega \] \[i=\frac{{{E}_{eq}}}{R+{{R}_{eq}}}=\frac{12}{5+1}=\frac{12}{6}=1\Omega \]       \[N\sin \theta =m{{\omega }^{2}}r\sin \theta \] \[\Rightarrow \] \[N=m{{\omega }^{2}}r\sin \theta \]      \[N\cos \theta =mg\] Now, let maximum height attained by water stream, be (H). \[\frac{1}{\cos \theta }=\frac{{{\omega }^{2}}r}{g}\]       \[\omega =\sqrt{\frac{g}{r\,\,\cos \theta }}\] \[\phi =B.A\]      \[\phi =|B||A|\cos \theta \]                 \[\varepsilon =-\frac{d\phi }{dt}=\frac{d[|B||A|\cos \theta ]}{dt}\]


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