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Two uniform circular discs are rotating independently
\( \mathrm{P} \) in the same direction around their common axis passing

WV through their centres. The moment of inertia and angular velocity of the first disc are \( 0.1 \mathrm{~kg}-\mathrm{m}^{2} \) and \( 10 \mathrm{rad} \mathrm{s}^{-1} \) respectively while those for the second one are \( 0.2 \mathrm{~kg} \) \( \mathrm{m}^{2} \) and \( 5 \mathrm{rad} \mathrm{s}^{-1} \) respectively. At some instant they get stuck together and start rotating as a.single system about their common axis with some angular speed. The kinetic energy of the combined system is
[JEE Main-2020 (September)]
(1) \( \frac{20}{3} \mathrm{~J} \)
(2) \( \frac{5}{3} \mathrm{~J} \)
(3) \( \frac{10}{3} \mathrm{~J} \)
(4) \( \frac{2}{3} \mathrm{~J} \)
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