A 1m long calculating rod rotates with an angular frequency of 400 rad `s^(-1)` an axis normal to the rod passing through its one one end. The other end of the rod is contact with a circular metallic ring. A constant magnetic field of 0.5 T parallel to the axis everywhere. Calculate the e.m.f. developed between the centre and the ring.

Explanation

To solve the problem of calculating the e.m.f. developed between the center and the ring of a rotating rod in a magnetic field, we can follow these steps:

### Step 1: Identify the Given Values
- Length of the rod (L) = 1 m
- Angular frequency (ω) = 400 rad/s
- Magnetic field (B) = 0.5 T

### Step 2: Determine the Average Velocity of the Rod
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