#39; making an angle of $30^{\circ}$ with the hor. Tags and topics: JEE MAIN,JEE Advanced,JEE Mains,KCET,Motion in a Plane,Projectile Motion,NCERT,NEET,Systems of Particles and Rotational Motion, JEE Main Physics,Class 11 Physics,Class 12 Physics."> #39; making an angle of $30^{\circ}$ with the hor. Tags and topics: JEE MAIN,JEE Advanced,JEE Mains,KCET,Motion in a Plane,Projectile Motion,NCERT,NEET,Systems of Particles and Rotational Motion, JEE Main Physics,Class 11 Physics,Class 12 Physics."> #39; making an angle of $30^{\circ}$ with the hor. Tags and topics: JEE MAIN,JEE Advanced,JEE Mains,KCET,Motion in a Plane,Projectile Motion,NCERT,NEET,Systems of Particles and Rotational Motion, JEE Main Physics,Class 11 Physics,Class 12 Physics.">
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Question

A particle of mass $\mathrm{m}$ is projected with a velocity '$\mathrm{u}$' making an angle of $30^{\circ}$ with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height $\mathrm{h}$ is :

$\frac{\mathrm{mu}^3}{\sqrt{2} \mathrm{~g}}$
zero
$\frac{\sqrt{3}}{2} \frac{\mathrm{mu}^2}{\mathrm{~g}}$
$\frac{\sqrt{3}}{16} \frac{\mathrm{mu}^3}{\mathrm{~g}}$

Solution

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