J & K CET Medical J & K - CET Medical Solved Paper-2014

  • question_answer
    A spring balance has a scale that reads from 0 to 60 kg. The length of the scale is 30 cm. A body suspended from this balance and when displaced and released, oscillates with a period of 0.8 s, what is the weight of the body when oscillating?

    A)  350.67 N          

    B)  540.11 N

    C) 311.24N          

    D)  300.5 N

    Correct Answer: C

    Solution :

     Time period of the spring-mass system \[T=2\pi \sqrt{\frac{m}{k}}\]                                       ...(i) \[\Rightarrow \]For spring\[mg=kx\] \[k=\frac{mg}{x}=\frac{60\times 9.8}{30\times {{10}^{-2}}}=1960\,N/m\]  ?.(ii) \[\Rightarrow \]From Eqs.(i) and (ii) \[0.8=2\pi \sqrt{\frac{m}{1960}}\]


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