269633 A uniform smooth rod (mass \(m\) and length \(l\) ) placed on a smooth horizontal floor is hit by a particle (mass \(\mathrm{m}\) ) moving on the floor, at a distance \(l / 4\) from one end elastically \((\mathrm{e}=1)\).The distance travelled by the centre of the rod after the collision when it has completed three revolutions will be

269634 A bullet of mass \(m\) is fired upward in a direction of angle of projection \(60^{\circ}\) with an initial velocity \(u\). The angular momentum of this bullet when it is crossing highest point with respect to point of projection is

269635 A particle of mass \(5 g\) is moving with a speed of \(3 \sqrt{2} \mathrm{cms}^{-1}\) in \(\mathbf{X}-\mathbf{Y}\) plane along the line \(y=x+4\). The magnitude of its angular momentum about the origin in \(\mathrm{gcm}^{2} \mathrm{~s}^{-1}\) is

269636 A ballot dancer is rotating about his own vertical axis on smooth horizontal floor with a time period \(0.5 \mathrm{sec}\). The dancer folds himself close to his axis of rotation due to which his radius of gyration decreases by \(20 \%\), then his new time period is

269633 A uniform smooth rod (mass \(m\) and length \(l\) ) placed on a smooth horizontal floor is hit by a particle (mass \(\mathrm{m}\) ) moving on the floor, at a distance \(l / 4\) from one end elastically \((\mathrm{e}=1)\).The distance travelled by the centre of the rod after the collision when it has completed three revolutions will be

269634 A bullet of mass \(m\) is fired upward in a direction of angle of projection \(60^{\circ}\) with an initial velocity \(u\). The angular momentum of this bullet when it is crossing highest point with respect to point of projection is

269635 A particle of mass \(5 g\) is moving with a speed of \(3 \sqrt{2} \mathrm{cms}^{-1}\) in \(\mathbf{X}-\mathbf{Y}\) plane along the line \(y=x+4\). The magnitude of its angular momentum about the origin in \(\mathrm{gcm}^{2} \mathrm{~s}^{-1}\) is

269636 A ballot dancer is rotating about his own vertical axis on smooth horizontal floor with a time period \(0.5 \mathrm{sec}\). The dancer folds himself close to his axis of rotation due to which his radius of gyration decreases by \(20 \%\), then his new time period is

269633 A uniform smooth rod (mass \(m\) and length \(l\) ) placed on a smooth horizontal floor is hit by a particle (mass \(\mathrm{m}\) ) moving on the floor, at a distance \(l / 4\) from one end elastically \((\mathrm{e}=1)\).The distance travelled by the centre of the rod after the collision when it has completed three revolutions will be

269634 A bullet of mass \(m\) is fired upward in a direction of angle of projection \(60^{\circ}\) with an initial velocity \(u\). The angular momentum of this bullet when it is crossing highest point with respect to point of projection is

269635 A particle of mass \(5 g\) is moving with a speed of \(3 \sqrt{2} \mathrm{cms}^{-1}\) in \(\mathbf{X}-\mathbf{Y}\) plane along the line \(y=x+4\). The magnitude of its angular momentum about the origin in \(\mathrm{gcm}^{2} \mathrm{~s}^{-1}\) is

269636 A ballot dancer is rotating about his own vertical axis on smooth horizontal floor with a time period \(0.5 \mathrm{sec}\). The dancer folds himself close to his axis of rotation due to which his radius of gyration decreases by \(20 \%\), then his new time period is

269633 A uniform smooth rod (mass \(m\) and length \(l\) ) placed on a smooth horizontal floor is hit by a particle (mass \(\mathrm{m}\) ) moving on the floor, at a distance \(l / 4\) from one end elastically \((\mathrm{e}=1)\).The distance travelled by the centre of the rod after the collision when it has completed three revolutions will be

269634 A bullet of mass \(m\) is fired upward in a direction of angle of projection \(60^{\circ}\) with an initial velocity \(u\). The angular momentum of this bullet when it is crossing highest point with respect to point of projection is

269635 A particle of mass \(5 g\) is moving with a speed of \(3 \sqrt{2} \mathrm{cms}^{-1}\) in \(\mathbf{X}-\mathbf{Y}\) plane along the line \(y=x+4\). The magnitude of its angular momentum about the origin in \(\mathrm{gcm}^{2} \mathrm{~s}^{-1}\) is

269636 A ballot dancer is rotating about his own vertical axis on smooth horizontal floor with a time period \(0.5 \mathrm{sec}\). The dancer folds himself close to his axis of rotation due to which his radius of gyration decreases by \(20 \%\), then his new time period is