Which one of the following complex ions has geometrical isomers?
Option 1: \(\left[\text{Co}(\text{Cl})_2(\text{en})_2\right]^+\)
Option 2: \(\left[\text{Cr}(\text{NH}_3)_4(\text{en})\right]^{3+}\)
Option 3: \(\left[\text{Co}(\text{en})_3\right]^{3+}\)
Option 4: \(\left[\text{Ni}(\text{NH}_3)_5\right]\text{Br}\)
A temperature difference can generate e.m.f. in some materials. Let $ S $ be the e.m.f. produced per unit temperature difference between the ends of a wire, $ \sigma $ the electrical conductivity and $ \kappa $ the thermal conductivity of the material of the wire. Taking $ M, L, T, I $ and $ K $ as dimensions of mass, length, time, current and temperature, respectively, the dimensional formula of the quantity $ Z = \frac{S^2 \sigma}{\kappa} $ is:
Let $ a_0, a_1, ..., a_{23} $ be real numbers such that $$ \left(1 + \frac{2}{5}x \right)^{23} = \sum_{i=0}^{23} a_i x^i $$ for every real number $ x $. Let $ a_r $ be the largest among the numbers $ a_j $ for $ 0 \leq j \leq 23 $. Then the value of $ r $ is ________.
Let $ y(x) $ be the solution of the differential equation $$ x^2 \frac{dy}{dx} + xy = x^2 + y^2, \quad x > \frac{1}{e}, $$ satisfying $ y(1) = 0 $. Then the value of $ 2 \cdot \frac{(y(e))^2}{y(e^2)} $ is ________.
The group 14 elements are also known as the carbon group. Sometimes it is also called crystallogens. The group 14 elements can be found on the right side of the periodic table. The elements of the carbon group are:
The group 14 elements or the carbon family belongs to the p-block of the periodic table. The carbon group is also the second group in the p-block.
The arrangement of electrons in the orbitals of a molecule or atom is known as electronic configuration. The general electronic configuration of the group 14 elements is ns2np2.
All group 14 elements have 4 electrons in the outer shell. Hence, the valency of the carbon family or group 14 elements is 4.