Lanthanide Contraction: The term "Lanthanide contraction" describes the progressive decrease in the atomic and ionic sizes of the elements in the lanthanide series. This phenomenon is attributed to the ineffective shielding of the nuclear charge by the 4f electrons.
Reaction of Acidified \( K_2Cr_2O_7 \) with \( H_2S \): \[ K_2Cr_2O_7 + 3H_2SO_4 + 3H_2S \rightarrow 2Cr_2(SO_4)_3 + 7H_2O + 3S \] This reaction illustrates the oxidizing power of potassium dichromate in an acidic medium, where it converts hydrogen sulfide to sulfur.
An aqueous solution of Co(ClO4)2·6H2O is light pink in colour. Addition of conc. HCl results in an intense blue coloured solution due to the formation of a new species. The new species among the following is:
[Given: Atomic number of Co = 27]
Nature of compounds TeO₂ and TeH₂ is___________ and ______________respectively.
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
Solve the following L.P.P. by graphical method:
Maximize:
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]