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JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Oscillations

  • question_answer
    A cylindrical block of wood (density = 650 kg \[{{m}^{-3}}\]), of base area 30cm2 and height 54 cm, floats in a liquid of density 900 kg \[{{m}^{-3}}\]. The block is depressed slightly and then released. The time period of the resulting oscillations of the block would be equal to that of a simple pendulum of length (nearly)

    A) 52cm

    B) 65cm

    C) 39cm

    D) 26cm

    Correct Answer: C

    Solution :

    [c] h = Length of block immerged in water \[mg={{F}_{B}}\] \[\rho A\lg ={{\rho }_{B}}Ahg\] \[650\times A\times 54\times {{10}^{-2}}g=900\times A\times hg\] \[\Rightarrow \,h=0.39m=39m.\]


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