Step 1: Analyze each compound to identify tetrahedral geometry.
1. \([Co(CN)_4]^{4-}\): CN is a strong ligand. Due to pairing, it undergoes \(sp^3\) hybridization, forming a tetrahedral structure.
2. \([Co(CO)_3(NO)]\): This forms a trigonal planar geometry due to the coordination environment.
3. \(XeF_4\): Square planar geometry, not tetrahedral.
4. \([PCl_4]^+\): Tetrahedral geometry due to \(sp^3\) hybridization.
5. \([PdCl_4]^{2-}\): Square planar geometry.
6. \([ICl_4]^-\): Square planar geometry.
7. \([Cu(CN)_4]^{3-}\): CN being a strong ligand leads to \(sp^3\) hybridization, hence tetrahedral.
8. \(P_4\): Tetrahedral geometry due to its molecular structure.
Step 2: Count the species with tetrahedral geometry.
Tetrahedral species: \([Co(CN)_4]^{4-}\), \([PCl_4]^+\), \([Cu(CN)_4]^{3-}\), and \(P_4\).
Step 3: Final answer. The total number of tetrahedral species is: \[ 5 \]
Among the following cations, the number of cations which will give characteristic precipitate in their identification tests with
\(K_4\)[Fe(CN)\(_6\)] is : \[ {Cu}^{2+}, \, {Fe}^{3+}, \, {Ba}^{2+}, \, {Ca}^{2+}, \, {NH}_4^+, \, {Mg}^{2+}, \, {Zn}^{2+} \]
Match List I with List II:
Choose the correct answer from the options given below:
The reaction sequence given below is carried out with 16 moles of X. The yield of the major product in each step is given below the product in parentheses. The amount (in grams) of S produced is ____. 
Use: Atomic mass (in amu): H = 1, C = 12, O = 16, Br = 80
Let $ \mathbb{R} $ denote the set of all real numbers. Then the area of the region $$ \left\{ (x, y) \in \mathbb{R} \times \mathbb{R} : x > 0, y > \frac{1}{x},\ 5x - 4y - 1 > 0,\ 4x + 4y - 17 < 0 \right\} $$ is
As shown in the figures, a uniform rod $ OO' $ of length $ l $ is hinged at the point $ O $ and held in place vertically between two walls using two massless springs of the same spring constant. The springs are connected at the midpoint and at the top-end $ (O') $ of the rod, as shown in Fig. 1, and the rod is made to oscillate by a small angular displacement. The frequency of oscillation of the rod is $ f_1 $. On the other hand, if both the springs are connected at the midpoint of the rod, as shown in Fig. 2, and the rod is made to oscillate by a small angular displacement, then the frequency of oscillation is $ f_2 $. Ignoring gravity and assuming motion only in the plane of the diagram, the value of $\frac{f_1}{f_2}$ 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 ________.