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JEE Main & Advanced JEE Main Paper (Held On 12 May 2012)

  • question_answer
    This question has Statement land 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/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 \[=\frac{1}{2}I{{\omega }^{2}}\]   JEE Main Online Paper (Held On 12 May 2012)               

    A)                 (a) Statement 1 is true, Statement 2 is true, Statement 2 is not the correct explanation of Statement 1.                

    B)                 (b) Statement 1 is false, Statement 2 is true.                

    C)                 (c) Statement 1 is true, Statement 2 is true. Statement 2 is correct explanation of the Statement 1.                

    D)                 (d) Statement 1 is true, Statement 2 is false.                

    Correct Answer: B

    Solution :

    (b) As \[L=I\omega \]so L increases with increase in co. Kinetic energy\[\text{(rotational)}\] depends on an angular velocity' co' and moment of inertia of the body I. i.e.,\[K.E{{.}_{\text{(rotational)}}}=\frac{1}{2}I{{\omega }^{2}}\]                


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