Using toruqe balance about rotation axis:
Net torque = F*r = I*alpha
I = moment of inertia = F*r/alpha
F = Force applied = 100 N
r = distance from axis of rotation = 2 m
alpha = angular acceleration = 2.5 rad/sec^2
So,
I = 100*2/2.5
I = 80 kg.m^2
Correct option is C.
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