Transition metals and their ions often exhibit characteristic colors due to d-d transitions where electrons in the d-orbitals absorb specific wavelengths of light and move to higher energy levels. The color observed is complementary to the color of light absorbed. Here is the breakdown of each ion:
Set 1: \( V^{2+} \), \( Cr^{3+} \), \( Mn^{3+} \)
These ions are known to produce similar colors in solution. Specifically, they appear in shades of violet or blue-green. The colors arise from specific d-d transitions unique to each ion, but similar enough to result in perceived color similarity:
Set 2: \( Zn^{2+} \), \( V^{3+} \), \( Fe^{3+} \)
\( Zn^{2+} \) has a completely filled d-orbital, resulting in a colorless solution, thus not matching the others which may appear yellow to brown.
Set 3: \( Ti^{4+} \), \( V^{4+} \), \( Mn^{2+} \)
\( Ti^{4+} \) usually produces a colorless solution due to its electronic configuration, whereas the other ions have visible colors.
Set 4: \( Sc^{3+} \), \( Ti^{3+} \), \( Cr^{2+} \)
\( Sc^{3+} \) is colorless in solution due to its lack of d-electrons, and thus, this set does not have similar colors either.
Thus, the correct set of ions that produce similarly colored aqueous solutions is \( V^{2+} \), \( Cr^{3+} \), \( Mn^{3+} \), due to their ability to exhibit complementary colored transitions in solutions.
Give explanation for each of the following observations:
(a) With the same d-orbital configuration (d4), Mn3+ ion is an oxidizing agent whereas Cr2+ ion is a reducing agent.
(b) Actinoid contraction is greater from element to element than that among lanthanoids.
(c) Transition metals form a large number of interstitial compounds with H, B, C, and N.
A transition metal (M) among Mn, Cr, Co, and Fe has the highest standard electrode potential $ M^{n}/M^{n+1} $. It forms a metal complex of the type $[M \text{CN}]^{n+}$. The number of electrons present in the $ e $-orbital of the complex is ... ...
A bob of mass \(m\) is suspended at a point \(O\) by a light string of length \(l\) and left to perform vertical motion (circular) as shown in the figure. Initially, by applying horizontal velocity \(v_0\) at the point ‘A’, the string becomes slack when the bob reaches at the point ‘D’. The ratio of the kinetic energy of the bob at the points B and C is: