Rotational Motion: JEE Main 2023 Physics question

JEE Main 2023 · 30 Jan, Morning shift · Q74

JEE Main 202330 Jan, Morning shiftPhysicsHardRotational Motion140× since 2002

A thin uniform rod of length

2 \mathrm{~m}

, cross sectional area '

A

' and density '

\mathrm{d}

' is rotated about an axis passing through the centre and perpendicular to its length with angular velocity

\omega

. If value of

\omega

in terms of its rotational kinetic energy

E

\sqrt{\frac{\alpha E}{A d}}

then value of

\alpha

is ______________.

Your answerType your answer. Integers and decimals are accepted.

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