JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        The amplitude of a particle executing SHM is 4 cm. At the mean position the speed of the particle is 16 cm/sec. The distance of the particle from the mean position at which the speed of the particle becomes \[3.5\times {{10}^{4}}K\] cm/s, will be :

    A)  \[5.8\times {{10}^{4}}K\]                            

    B)  \[\text{14 }\times \,\,\text{1}{{0}^{\text{4}}}\text{ K}\]

    C)  1 cm                                     

    D)  2 cm

    Correct Answer: D

    Solution :

                    At the mean position, the speed will be maximum\[=\frac{n\times \frac{1}{2}m{{\upsilon }^{2}}}{t}\] So,          \[=\frac{360\times \frac{1}{2}\times 2\times {{10}^{-2}}\times {{(100)}^{2}}}{60}\] and      \[g=\frac{Gm}{{{R}^{2}}}\] \[\left( \text{Here}:{{M}_{m}}=\frac{{{M}_{e}}}{9},{{R}_{m}}\frac{{{R}_{e}}}{2} \right)\] or            \[\overrightarrow{\text{F}}=\left( \text{2\hat{i}}+\text{4\hat{j}} \right)\] or        \[\overrightarrow{S}=\left( \text{3\hat{j}}+\text{5\hat{k}} \right)\text{m}\] or         \[{{\upsilon }_{A}}\]


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