Question

The number of de Broglie waves associated with Bohr electron when it completes one revolution in its third orbit is

• A. 1
• B. 3
• C. 5
• D. 6
• E. \( \infty \)

Hint:

The number of de Broglie waves in an electron orbit is given by the quantum number \( n \), which determines the number of full wavelengths in the electron’s orbit.

Answer 1

The Correct Option is B

The number of de Broglie waves associated with the electron in its \( n \)-th orbit is given by: \[ n = \frac{2 \pi r}{\lambda} \] where \( r \) is the radius of the orbit and \( \lambda \) is the de Broglie wavelength of the electron. For the third orbit (\( n = 3 \)), we have 3 complete de Broglie waves.
Hence, the correct answer is (B).