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.
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 ... ...
Match List I with List II
List I (Ions) | List II (Magnetic moment (BM)) |
---|---|
A. Co2+ | I. 1.73 |
B. Mn2+ | II. 3.87 |
C. Cr2+ | III. 4.90 |
D. Cu2+ | IV. 5.92 |
Choose the correct answer from the options given below:
Let \( A = \{-3, -2, -1, 0, 1, 2, 3\} \). A relation \( R \) is defined such that \( xRy \) if \( y = \max(x, 1) \). The number of elements required to make it reflexive is \( l \), the number of elements required to make it symmetric is \( m \), and the number of elements in the relation \( R \) is \( n \). Then the value of \( l + m + n \) is equal to:
For hydrogen-like species, which of the following graphs provides the most appropriate representation of \( E \) vs \( Z \) plot for a constant \( n \)?
[E : Energy of the stationary state, Z : atomic number, n = principal quantum number]
The number of 6-letter words, with or without meaning, that can be formed using the letters of the word MATHS such that any letter that appears in the word must appear at least twice, is $ 4 \_\_\_\_\_$.