The reaction of \(NiBr_2\) with two equivalents of \(PPh_3\) in \(CS_2\) at -78°C gives a red-colored diamagnetic complex, \([NiBr_2 \text{(PPh}_3\text{)}_2]\). This transforms to a green-colored paramagnetic complex with the same molecular formula at 25°C. The geometry and the number of unpaired electrons in the green-colored complex, respectively, are:
Step 1: Consider the geometry of the complex.
At -78°C, the complex is diamagnetic and square planar, but at 25°C, the complex becomes tetrahedral and paramagnetic.
Step 2: Determine the number of unpaired electrons.
Ni has a d^8 configuration in the tetrahedral geometry, and with two unpaired electrons, the complex is paramagnetic.
Final Answer: (B) tetrahedral and 2
Number of carbon atoms connected to the metal center in [W(C\(_{60}\))(CO)\(_5\)] is _________ (rounded off to the nearest integer).
(Given: atomic number of W = 74)
Courage : Bravery :: Yearning :
Select the most appropriate option to complete the analogy.
In the given figure, the numbers associated with the rectangle, triangle, and ellipse are 1, 2, and 3, respectively. Which one among the given options is the most appropriate combination of \( P \), \( Q \), and \( R \)?

A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius \( r \) cm as shown in the figure. The side of the dodecagon is \( d \) cm. All the triangles (numbered 1 to 12 in the figure) are used to form squares of side \( r \) cm, and each numbered triangle is used only once to form a square. The number of squares that can be formed and the number of triangles required to form each square, respectively, are:

The number of patients per shift (X) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns is ₹1000(X - 0.2), what is the average amount (in ₹) she has earned per shift in the past 100 shifts?

The Lineweaver-Burk plot for an enzyme obeying the Michaelis-Menten mechanism is given below.

The slope of the line is \(0.36 \times 10^2\) s, and the y-intercept is \(1.20\) mol\(^{-1}\) L s. The value of the Michaelis constant (\(K_M\)) is ________ \( \times 10^{-3} \) mol L\(^{-1}\) (in integer). [Note: \(v\) is the initial rate, and \([S]_0\) is the substrate concentration]