1. In a hydrogen atom, the electron is moving with a speed of 2.2 × 10^6 m/s in an orbit of radius 5.3 × 10^-11 m. The equivalent current is:

The equivalent current is given by:

I = e/T = e/(2πr/v)

where e is the charge of the electron, T is the period of revolution of the electron, r is the radius of the orbit and v is the speed of the electron.

Substituting the given values, we get:

I = 1.602 × 10^-19 C/(2π × 5.3 × 10^-11 m/2.2 × 10^6 m/s) = 1.0 mA

So, the answer is (A).

  1. The ratio of the diameter of the Bohr orbit for the electron orbiting the hydrogen nucleus to the de Broglie wavelength of the electron when it is at rest is:

The diameter of the Bohr orbit is given by: