Meera Ltd. is registered with an authorised capital of ₹ 1,00,000 divided into equity shares of ₹ 10 each. The company invited applications for issuing 1,00,000 equity shares at a premium of ₹ 2 per share. The amount was payable as follows:
Applications were received for 95,000 shares and allotment was made to all the applicants. All calls were made and duly received except the second and final call of 1,000 shares held by Tushar.
Answer the following questions:
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 \( A \mathbf{X} = B \).