If the rotational kinetic energy of a body is increased by $300 \%$, then the percentage increase in its angular momentum will be

Moment of a force of magnitude 10 N acting along positive $y$-direction at point $(2 \mathrm{~m}, 0,0)$ about the point $(0,1 \mathrm{~m}, 0)$ in $\mathrm{N}-\mathrm{m}$ is

A solid sphere having mass $$m$$ and radius $$R$$ moves down a plane inclined at an angle '$$\theta$$'. Find the ratio between its acceleration when it rolls without slipping and its acceleration when it slides down the same plane without any rotation.

A particle of mass $m$ is projected with a velocity $$v$$ making an angle of $$45^{\circ}$$ with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height $$h$$ is.