- 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).
- 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: