Distinguishing Between Methyl Ketone and Ethyl Ketone: A simple test can be carried out using Iodoform Test. The reaction with iodine and sodium hydroxide will form a yellow precipitate of Iodoform (CHI) for methyl ketones, such as ace- tophenone (CHCOCH), but will not give this result for ethyl ketones, such as phenylethanecar- bonyl (CHCOCHCH).
C6H5COCH3 + I2 + NaOH → Iodoform (yellow precipitate)
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 \( A \mathbf{X} = B \).