NEET Sample Paper NEET Sample Test Paper-15

  • question_answer A uniform rod AB of mass m and length la is falling freely without rotation under gravity with AB horizontal. Suddenly the end A is fixed when the speed of the rod is v. The angular speed with which the rod begins to rotate is

    A) \[\frac{v}{2a}\]                                  

    B)  \[\frac{4v}{3a}\]

    C) \[\frac{v}{3a}\]                                  

    D)  \[\frac{3v}{4a}\] 

    Correct Answer: D

    Solution :

    Angular momentum about A will be conserved, i.e., \[{{L}_{i}}={{L}_{f}}\] \[mva=I\omega \]or \[mva=\frac{m{{(2a)}^{2}}}{3}\omega \]\[\therefore \]\[\omega =\frac{3v}{4a}\] Hence, the correction option is [d].

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