The lanthanide ions exhibit characteristic colours depending on their electronic configuration. Among the lanthanide ions, the colour of the compound typically arises due to the presence of partially filled 4f orbitals which allow electronic transitions. - Yb\(^{2+}\) and La\(^{3+}\) are not commonly known to form coloured compounds as their 4f orbitals are either completely filled or empty. - Lu\(^{3+}\) is relatively colourless as well because its 4f orbitals are empty in the ion. - Pr\(^{3+}\), however, has partially filled 4f orbitals and is known to form coloured compounds due to the electronic transitions in these orbitals.
Thus, the lanthanoid ion that forms coloured compounds is Pr\(^{3+}\).
A solid cylinder of mass 2 kg and radius 0.2 m is rotating about its own axis without friction with angular velocity 5 rad/s. A particle of mass 1 kg moving with a velocity of 5 m/s strikes the cylinder and sticks to it as shown in figure.
The angular velocity of the system after the particle sticks to it will be: