The binding energy of a hydrogen atom represents the energy needed to remove the electron from the nucleus. It is given by the following formula: \[ E_b = -13.6 \, {eV} \]
Calculate the change in angular momentum of an electron when it jumps from the third orbit to the first orbit in a hydrogen atom.
Explain the construction of a spherical wavefront by using Huygens' principle.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.