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Kinematics-2D

1 Questions MSQ (Multiple Correct) Start Objective Test
All Exams Allen Objective Errorless
JEE (Main) 2016 Q1 Errorless Non-uniform Circular Motion MSQ
A particle of mass $m$ is moving along the side of square of side 'a' with a uniform speed $v$ in the $x - y$ plane as shown in the figure Which of the following statements is false for the angular momentum $\vec{L}$ about the origin
A.
$\vec{L} = mv\left[\frac{R}{\sqrt{2}} - a\right]\hat{k}$ when the particle is moving from $C$ to $D$
B.
$\vec{L}=mv\left[\frac{R}{\sqrt{2}}+a\right]\hat{k}$ when
the particle is moving from B to C
C.
$\vec{L} = \frac{mv}{\sqrt{2}} R\hat{k}$ when the particle is moving from $D$ to $A$
D.
$\vec{L} = -\frac{mv}{\sqrt{2}} R\hat{k}$ when the particle is moving from $A$ to $B$