A ballet dancer is rotating at an angular velocity $\omega$ on smooth horizontal floor. The ballet dancer folds his body close to his axis of rotation by which his radius of gyration decreases by $\frac{1}{4}$ th of his initial radius of gyration. His final angular velocity is:

Q. A ballet dancer is rotating about his own vertical axis at an angular velocity $100rev/min$ on smooth horizontal floor. The ballet dancer folds himself close to his axis of rotation by which his moment of inertia decreases to half of initial moment of inertia. His final angular velocity is :

Q. A ballet dancer is rotating about his own vertical axis on a smooth horizontal floor with a time period $0.5s$. The dancer folds himself close to his axis of rotation due to which his radius of gyration decreases by $20\%$, then his time period is :

Q. A ballet dancer is rotating about his own vertical axis on smooth horizontal floor. $I$,$\omega$, $L$ and $K$ are moment of inertia, angular velocity, angular momentum and rotational kinetic energy of ballet dancer respectively. If ballet dancer folds himself close to his axis of rotation then,(assuming that there is no role of friction)

Q. A ballot dancer is rotating about his own vertical axis on smooth horizontal floor with a time period $0.5sec.$ 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

Q. A ballet dancer is rotating about his own vertical axis on a smooth horizontal floor. $I$, $\omega$, $L$, and $E$ are the moment of inertia, angular velocity, angular momentum and rotational kinetic energy respectively, of the ballet dancer. If the ballet dancer stretches himself away from his axis of rotation, then,