A tightly- wound , long solenoid carries a current of 2.00 A. An electron is found to execute a uniform circular motion inside the solenoid with a frequency of `(1.00 xx 10^8 rev s^-1`). Find the number of turns per metre in the solenoid.

Explanation

To solve the problem step by step, we will follow the physics principles related to magnetic fields and circular motion.

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Current (I) = 2.00 A
- Frequency (ν) = \(1.00 \times 10^8 \, \text{rev/s}\)
- Charge of the electron (q) = \(1.6 \times 10^{-19} \, \text{C}\)
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