Two bodies have their moment of inertia 3 I and 11 l respectively about their axis of rotation. If the kinetic energy of first body is half of the second then their angular momenta will be in the ratio of .

Options

A. `1`
B. `(2)/(sqrt3)`
C. `(4)/(sqrt11)`
D. `(3)/(sqrt66)`

Explanation

To solve the problem, we need to find the ratio of angular momenta of two bodies given their moments of inertia and the relationship between their kinetic energies.

### Step-by-Step Solution:

1. **Identify Given Values**:
- Moment of inertia of the first body, \( I_1 = 3I \)
- Moment of inertia of the second body, \( I_2 = 11I \)
- Kinetic energy of the first body is half of that of the second body:
...