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KVPY Sample Paper KVPY Stream-SX Model Paper-6

  • question_answer
    A particle of mass 20 g is released with an initial velocity 5 m/s along the curve from the point A, as shown in the figure. The point A is at height h from point B. The particle slides along the frictionless surface. When the particle reaches point B, its angular momentum about 0 will be: \[[Take\,g=10\,\text{m/}{{\text{s}}^{2}}]\]

    A) \[\text{2}\,\text{kg-}{{\text{m}}^{\text{2}}}\text{/s}\]              

    B) \[\text{8}\,\text{kg-}{{\text{m}}^{\text{2}}}\text{/s}\]

    C) \[\text{6}\,\text{kg-}{{\text{m}}^{\text{2}}}\text{/s}\]

    D) \[\text{3}\,\text{kg-}{{\text{m}}^{\text{2}}}\text{/s}\]

    Correct Answer: C

    Solution :

    \[V=\sqrt{{{5}^{2}}+2gh}\]
    \[=\sqrt{{{5}^{2}}+2\times 10\times 10}=\sqrt{225}\]
    = 15 m/s
    \[h=rmv=20\times (20\times {{10}^{-3}}kg)\times (15)\]
    \[=6kg-{{m}^{2}}/\sec .\]


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