A particle of mass $m$ is moving along the side of a square of side '$a$', with a uniform speed $v$ in the $x-y$ plane as shown in the figure

Which of the following statement is false for the angular momentum $\vec L$ about the origin ?

806-621

  • [JEE MAIN 2016]
  • A

    $\;\left( a \right)\overrightarrow {\;L} $ $ = mv\left[ {\frac{R}{{\sqrt 2 }} + a} \right]\hat k$ ,when the particle is moving from $B$ to $C$

  • B

    $\vec L$ $ = \frac{{mv}}{{\sqrt 2 }}\;R\;\hat k$ , when the particle is moving from $D$ to $A$

  • C

    $\left( d \right)\overrightarrow {\;L} $ $ = mv\left[ {\frac{R}{{\sqrt 2 }} - a} \right]\hat k$ ,when the particle is moving from $C$ to $D$

  • D

    Both (b) and (c)

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