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NEET Sample Paper NEET Sample Test Paper-59

  • question_answer
    Time period T of a simple pendulum may depend upon mass of the bob m; length of simple pendulum and 'g' the acceleration due to gravity. Then the value of a, b and c are:

    A) \[-\frac{1}{2},0,\frac{1}{2}\]                 

    B) \[-\frac{1}{2},0,-\frac{1}{2}\]

    C) \[0,-\frac{1}{2},\frac{1}{2}\]                 

    D) \[0,\frac{1}{2},-\frac{1}{2}\]     

    Correct Answer: D

    Solution :

    [d] \[T\propto \,\,{{[M]}^{a}}\,{{[L]}^{b}}{{[L{{T}^{-2}}]}^{c}}\] \[T=K\,{{[M]}^{a}}\,\,\,\,{{L}^{b+c}}\,\,\,\,{{T}^{-2c}}\,\] \[a=0,\,-2c=1b+c=0\] \[\,c=-\frac{1}{2}b=\frac{1}{2}=0\] \[\,b=\frac{1}{2}\] \[a=0\,b=\frac{1}{2}\,\,\,\,\,\,\,\,c=-\frac{1}{2}\]


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