NEET Sample Paper NEET Sample Test Paper-55

  • question_answer
    Two simple pendulums of lengths 1 meter and 16 meteres respectively are both given small displacements in the same direction at the same instant. They will again be in phase after the shorter pendulum has completed n oscillations where n is

    A) \[\frac{1}{4}\]                          

    B) \[1\frac{1}{3}\]

    C) 5                                 

    D) 4

    Correct Answer: B

    Solution :

    \[{{T}_{1}}\,\,=\,\,2\,\,sec\] \[{{T}_{2}}\,\,=\,\,2\pi \,\sqrt{\frac{16}{g}}\] \[=\,\,4\,\left( 2\pi \sqrt{\frac{1}{g}} \right)\,\,=\,\,8\,\,\sec \] \[t\,\,=\,\,\frac{{{T}_{1}}{{T}_{2}}}{{{T}_{2}}-{{T}_{1}}}\,\,=\,\,\frac{(8)(2)}{8-2}\] \[t\,\,=\,\,\frac{8}{3}\] Number of oscillation of shorter pendulum


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