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A constant external torque tau acts for ...

A constant external torque `tau` acts for a very brief period `Delta t` on a rotating system having moment of inertia `I`.
(`i`) The angular momentum of the system will change by `tau Delta t`
(`ii`) The angular velocity of the system will change by `(tau Delta t)//I`.
(`iii`) If the system was initially at rest, it will acquire rotational kinetic energy `(tau Delta t)^(2)//2I`.
(`iv`) The kinetic energy of the system will change by `(tau Delta t)^(2) I`.

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