Correct Answer  Option 2 : [M
1L
2T
2]
The correct answer is option 2) i.e. [M1L2T2]
CONCEPT:

Rotational kinetic energy: Rotational kinetic energy is due to the motion of an object's rotation.
For a given fixed axis of rotation, the rotational kinetic energy is given by:
\(KE = \frac{1}{2} Iω^2\)
Where I is the moment of inertia, ω is the angular velocity.
EXPLANATION:
Rotational kinetic energy, \(KE = \frac{1}{2} Iω^2\)
 The SI unit of angular velocity ω is rad/s.
 Radian is a dimensionless quantity.
 Hence, the base unit of ω is s^{1}.
 Thus, its dimension is [T^{1}].
 Moment of inertia, I = Mr^{2} where M is the mass and r is the radius.
 Thus, its dimension is [M^{1}L^{2}T^{0}].
 Therefore, the dimensions of rotational kinetic energy = [M1L2T0] × [T1]^{2} = [M1L2T2]