An object of mass 'm' is projected from origin in a vertical xy plane at an angle ${45^0}$ with the -axis with an initial velocity ${{\rm{v}}_0}$ . The magnitude and direction of the angular momentum of the object with respect to origin, when it reaches at the maximum height, will be [g is acceleration due to gravity]
Select the correct option:
A
$\frac{{mv_O^3}}{{4\sqrt 2 g}}$ along positive z-axis
B
$\frac{{mv_O^3}}{{4\sqrt 2 g}}$ along negative z-axis
C
$\frac{{mv_o^3}}{{2\sqrt 2 g}}$ along positive z-axis
D
$\frac{{mv_O^3}}{{2\sqrt 2 g}}$ along negative z-axis
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