This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements. Statement 1: When moment of inertia $I$ of a body rotating about an axis with angular speed $\omega$ increases, its angular momentum $L$ is unchanged but the kinetic energy $K$ increases if there is no torque applied on it. Statement 2: $L = I\omega$, kinetic energy of rotation $= \frac{1}{2}I\omega^{2}$ (1) Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement 1. (2) Statement 1 is false, Statement 2 is true. (3) Statement 1 is true, Statement 2 is true, Statement 2 is correct explanation of the Statement 1. (4) Statement 1 is true, Statement 2 is false.
This question has Statement 1 and Statement 2. Of the four choices given after the Statements, choose the one that best describes the two Statements.\\
Statement 1: When moment of inertia $I$ of a body rotating about an axis with angular speed $\omega$ increases, its angular momentum $L$ is unchanged but the kinetic energy $K$ increases if there is no torque applied on it.\\
Statement 2: $L = I\omega$, kinetic energy of rotation $= \frac{1}{2}I\omega^{2}$\\
(1) Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement 1.\\
(2) Statement 1 is false, Statement 2 is true.\\
(3) Statement 1 is true, Statement 2 is true, Statement 2 is correct explanation of the Statement 1.\\
(4) Statement 1 is true, Statement 2 is false.