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NEET Sample Paper NEET Sample Test Paper-83

  • question_answer
    A body is projected at an angle \[\theta \] with the horizontal. When it is at highest point, the ratio of the potential and kinetic energies of the body is                                                                           

    A)  \[\tan \,\theta \]             

    B)  \[{{\tan }^{2}}\,\theta \]

    C)  \[\frac{2u}{g\,\sin \,\theta }\]                 

    D)  \[\frac{u}{g\,\sin \,\theta }\]

    Correct Answer: B

    Solution :

    \[\operatorname{Potential}\,\,energy=mg\,\,{{h}_{max}}\] \[=\,\,mg\left( \frac{{{\mu }^{2}}{{\sin }^{2}}\theta }{2g} \right)\] \[=\,\,\,\frac{m{{u}^{2}}{{\sin }^{2}}\theta }{2}\] \[Kinetic\text{ }energy=\,\,\frac{1}{2}m\,{{(u\,cos\text{ }\theta )}^{2}}\] \[\therefore \,\,\,\,\,\,\,\,\,\,\frac{PE}{KE}={{\tan }^{2}}\theta \]


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