A space is divided by the line AD into two regions. Region I is field free and the region II has a uniform magnetic field B directed into the paper. ACD is a semicircular conducting loop of radius r with centre at O, the plane of the loop being in the plane of the paper. The loop is now made to rotate with a constant angular velocity  about an axis passing through O, and perpendicular to the plane of the paper in the clockwise direction. The effective resistance of the loop is R.
Plot a graph between the induced emf and the time of rotation for two periods of rotation.

Explanation

To solve the problem, we need to find the induced EMF in the semicircular conducting loop as it rotates in a uniform magnetic field. We will then plot a graph of the induced EMF against time for two complete rotations of the loop.

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have a semicircular conducting loop (ACD) of radius \( r \) rotating with a constant angular velocity \( \omega \) about an axis through point \( O \).
- The loop rotates in a uniform magnetic field \( B \) directed into the paper (negative z-direction).

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