\( Na_4 [Co(NO_2)_5] \)
The given IUPAC name is sodium hexanitrocobaltate(III).
- "Hexanitro-" refers to six \( NO_2 \) ligands.
- "Cobaltate" indicates the presence of a complex anion.
- The oxidation state of cobalt is (III), meaning \( Co^{3+} \).
- The charge of \( [Co(NO_2)_6]^{3-} \) requires three \( Na^+ \) ions for charge neutrality.
Thus, the correct formula is \( Na_3 [Co(NO_2)_6] \), making the correct answer (c).
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 ___________.