For the complex \([Ni(CO)_4]\), nickel is in the +0 oxidation state. The electronic configuration of Ni is \( 3d^8 4s^2 \). - Hybridization: In \([Ni(CO)_4]\), the CO ligands are strong field ligands that cause the pairing of the 3d electrons, resulting in the hybridization \( sp^3 \). The geometry of the complex is tetrahedral.
- Magnetic character: Since all electrons are paired in the complex, it is diamagnetic.
Explanation:
- In the presence of CO, which is a strong field ligand, the 3d electrons are paired, leading to a tetrahedral geometry with \( sp^3 \) hybridization and no unpaired electrons, thus the complex is diamagnetic.
A current-carrying coil is placed in an external uniform magnetic field. The coil is free to turn in the magnetic field. What is the net force acting on the coil? Obtain the orientation of the coil in stable equilibrium. Show that in this orientation the flux of the total field (field produced by the loop + external field) through the coil is maximum.
Three students, Neha, Rani, and Sam go to a market to purchase stationery items. Neha buys 4 pens, 3 notepads, and 2 erasers and pays ₹ 60. Rani buys 2 pens, 4 notepads, and 6 erasers for ₹ 90. Sam pays ₹ 70 for 6 pens, 2 notepads, and 3 erasers.
Based upon the above information, answer the following questions:
(i) Form the equations required to solve the problem of finding the price of each item, and express it in the matrix form \( A \mathbf{X} = B \).