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NEET Sample Paper NEET Sample Test Paper-26

  • question_answer
    The time period of a spring mass system is T in air when the mass is partially immersed in water, the time period of oscillation is:          

    A)  T                                

    B)  \[<T\]             

    C)  \[>T\]                        

    D)   \[\le T\]       

    Correct Answer: B

    Solution :

    The time period of the spring mass system in air, \[T=2\pi \sqrt{\frac{m}{k}}\] When the mass is immersed in water, partially the buoyant force \[=\rho Axg\]and the spring force = Kx, when the body is displaced through a small distance x. Thus, the restoring force             \[=Kx+\rho Agx\]. \[\therefore \]  \[\omega '=\sqrt{\frac{k+\rho Ag}{m}}\] \[\Rightarrow \] \[T'=2\pi \,\sqrt{\frac{m}{k+\rho Ag}}\] [T?=new time period] Hence,  \[T'<T\]


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