A radio wave of wavelength 290 m can be transmitted through a transmission centre . If a condenser of capacity 3.5 `muF ` is used what is the inductance of the required coil for resonance . Take speed of light `= 3xx10^(8)` m/s .

Explanation

To solve the problem, we need to find the inductance \( L \) required for resonance in an LC circuit, given the wavelength of the radio wave and the capacitance of the condenser.

### Step-by-step Solution:

1. **Identify the Given Values:**
- Wavelength \( \lambda = 290 \, \text{m} \)
- Capacitance \( C = 3.5 \, \mu\text{F} = 3.5 \times 10^{-6} \, \text{F} \)
- Speed of light \( c = 3 \times 10^8 \, \text{m/s} \)
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