Two vertical walls are separated by a distance of $2\  m$. Wall $A$ is smooth while wall $B$ is rough with a coefficient of friction $0. 5$. A uniform rod is placed between them as shown. The length of longest rod that can be placed between walls is equal to

820-8

  • A

    $2\  m$

  • B

    $2\sqrt 2\ m$

  • C

    $\sqrt 5\ m$

  • D

    $\frac{{\sqrt {17} }}{2}\ m$

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