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NEET Sample Paper NEET Sample Test Paper-44

  • question_answer
    The moment of inertia of a body about a given axis is\[1.2kg{{m}^{2}}\]. Initially the body is at rest. In order to produce a rotational kinetic energy of 1500J, an angular acceleration of \[25rad/se{{c}^{2}}\]must be applied about that axis for a duration of:

    A) 4s                    

    B) 2s      

    C) 8s                    

    D) 10s

    Correct Answer: B

    Solution :

    The angle by which voltage leads Current is given by \[\tan \phi =\frac{{{X}_{L}}}{R}\] \[\operatorname{R}=1\Omega ,\,\,f=50Hz,\,\,{{X}_{L}}=\omega L,\,L=1{{0}^{-2}}H\] \[=\tan \phi =\frac{\omega \operatorname{L}}{\operatorname{R}}=\frac{2\pi fL}{R}\] \[=\tan \phi =\frac{2\pi \times 50\times {{10}^{-2}}}{1}=\pi \] \[=\phi ={{\tan }^{-1}}\left( \pi  \right)\]


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