A highly rigid cubical block $A$ of small mass $M$ and side $L$ is fixed rigidly onto another cubical block $B$ of the same dimensions and of low modulus of rigidity $\eta $ such that the lower face of $A$ completely covers the upper face of $B$. The lower face of $B$is rigidly held on a horizontal surface. A small force $F$ is applied perpendicular to one of the side faces of $A$. After the force is withdrawn block $A$ executes small oscillations. The time period of which is given by

  • [IIT 1992]
  • A

    $2\pi \sqrt {\frac{{M\eta }}{L}} $

  • B

    $2\pi \sqrt {\frac{L}{{M\eta }}} $

  • C

    $2\pi \sqrt {\frac{{ML}}{\eta }} $

  • D

    $2\pi \sqrt {\frac{M}{{\eta L}}} $

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