The maximum percentage errors in the measurement of mass (M), radius (R) and angular velocity `(omega)` of a ring are 2%,1% and 1% respectively, then find the maximum percentage error in the measurement of its-
(a) Moment of inertia `(I=(1)/(2)MR^(2))` about its geometric axis.

Explanation

To find the maximum percentage error in the measurement of the moment of inertia \( I \) of a ring, we start with the formula for the moment of inertia:

\[ I = \frac{1}{2} M R^2 \]

### Step 1: Understand the error propagation formula
The percentage error in a product or quotient can be calculated using the following formula:
...