In a hydrogen atom the electron is making `4 xx 10^(7)` revolution per minute in a path of radius 0.5 `A^(@)`. Find the magnetic field produced at the centre of orbit.

Explanation

To find the magnetic field produced at the center of the orbit of an electron in a hydrogen atom, we can follow these steps:

### Step 1: Identify the given values
- Revolutions per minute (RPM) of the electron, \( N = 4 \times 10^7 \) RPM
- Radius of the orbit, \( r = 0.5 \) Å (angstrom) = \( 0.5 \times 10^{-10} \) m

### Step 2: Convert revolutions per minute to frequency in hertz
Frequency \( f \) in hertz (Hz) can be calculated from RPM using the formula:
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