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NEET Sample Paper NEET Sample Test Paper-93

  • question_answer
    The angular velocities of three bodies in simple harmonic motion are \[{{\omega }_{1}},\]\[{{\omega }_{2}},\]\[{{\omega }_{3}}\] with their respective amplitudes as \[{{A}_{1}},\]\[{{A}_{2}},\]\[{{A}_{3}}.\] If all the three bodies have same mass and velocity, then

    A) \[{{A}_{1}}{{\omega }_{1}}={{A}_{2}}{{\omega }_{2}}={{A}_{3}}{{\omega }_{3}}\]

    B) \[{{A}_{1}}^{2}{{\omega }_{1}}={{A}_{2}}^{2}{{\omega }_{2}}={{A}_{3}}^{2}{{\omega }_{3}}\]

    C) \[{{A}_{1}}{{\omega }_{1}}^{2}={{A}_{2}}{{\omega }_{2}}^{2}={{A}_{3}}{{\omega }_{3}}^{2}\]

    D) \[{{A}_{1}}^{2}{{\omega }_{1}}^{2}={{A}_{2}}^{2}{{\omega }_{2}}^{2}={{A}_{3}}^{2}{{\omega }_{3}}^{2}\]

    Correct Answer: A

    Solution :

    [a] We know that Maximum velocity\[=\omega A\] Their velocity are same \[{{\omega }_{1}}{{A}_{1}}={{\omega }_{2}}{{A}_{2}}={{\omega }_{3}}{{A}_{3}}\]


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