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An object of mass 'm' is projected from origin in a vertical xy plane at an angle 45° with the x - axis with an initial velocity 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]

1. g 2 2 mv 3 0 along negative z - axis
2. g 2 2 mv 3 0 along positive z - axis
3. g 2 4 mv 3 0 along positive z - axis
4. g 2 4 mv 3 0 along negative z - axis

Correct answer: g 2 4 mv 3 0 along negative z - axis

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